Chapter 1 Algebraic Thinking Answer Key
Transcript of Chapter 1 Algebraic Thinking Answer Key
Chapter 1 – Algebraic Thinking Answer Key
CK-12 Middle School Math Concepts - Grade 7 1
1.1 Equations that Describe Patterns
Answers
1. x 3 + 3 2. – 15 3. + 7 4. ÷ 4 5. x 4 – 1
6. ÷ 3 7. X 3 + 1 8. X 5 + 1 9. X 6 10. – 10
11. x 2 – 1 12. ÷ 3 13. ÷ 2 – 1 14. X 7 15. ÷ 3
1.2 Extend Numerical Patterns
Answers
1. 6, 7 2. 10, 12 3. 47, 95 4. 12, 15 5. 1
6. 38. 78 7. 25, 12.5 8. 50, 60 9. 60, 75 10. 136, 148
11. 7 12. 13 13. 5 14. 6.25 15. 10.5
1.3 Visual Patterns
Answers
1. x 2 – 1 2. – 10 3. X 2 + 5 4. ÷ 10 5. 49
6. 136 7. 91 8. 1 9 A triangle 10. 20 dots
11. 9 dots 12. 10 triangles 13. a square 14. 3 squares 15. 2 ¼ circles
1.4 Single Variable Expressions
Answers
1. 3 2. 54 3. 99 4. 25 5. 36
6. 18 7. 54 8. 107 9. 34 10. 78
11. 39 12. 14 13. 48 14. 84 15. 48
Chapter 1 – Algebraic Thinking Answer Key
CK-12 Middle School Math Concepts - Grade 7 2
1.5 Expressions with One or More Variables
Answers
1. 24 2. 20 3. 39 4. 48
5. 132 6. 100 7. 40 8. 35
9. 65 10. 85 11. 2 12. 4
13. 6 14. 6 15. 10 16. 46
1.6 Expressions for Real Life Situations
Answers
1. 19 – n 2. 4x – 4 3. n + 30 4. 3x + 12 5. x/7
6. (x + 7)/2 7. 16x 8. x/8 9. 2(x + 7) 10. (x+5)/5
11. 22 – n 12. 3x – 17 13. 48 mysteries 14. 12 15. $70.00
1.7 Whole Number Exponents
Answers
1. b = 4, e = 5 4 x 4 x 4 x 4 x 4
2. b = 3, e = 2 3 x 3
3. b = 5, e = 8 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5
4. b = 4, e = 3 4 x 4 x 4
5. b = 6, e = 3 6 x 6 x 6
6. b = 2, e = 5 2 x 2 x 2 x 2 x 2
7. b = 1, e = 10 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
8. b = 2, e = 4 2 x 2 x 2 x 2
9. b = 3, e = 4 3 x 3 x 3 x 3
10. b = 5, e = 2 5 x 5
11. b = 4, e = 4 4 x 4 x 4 x 4
12. b = 8, e = 10 8 x 8 x 8 x 8 x8 x8 x8 x8 x8 x8
13. b = 9, e = 3 9 x 9 x 9
14. b = 12, e = 2 12 x 12
15. b = 13, e = 3 13 x 13 x 13
Chapter 1 – Algebraic Thinking Answer Key
CK-12 Middle School Math Concepts - Grade 7 3
1.8 Algebraic Expressions with Exponents
Answers
1. 8 2. 16 3. 25 4. 1 5. 125
6. 64 7. 27 8. 25 9. 129 10. 44
11. 11 12. 12 13. 80 14. m7 15. x7
16. y8 17. b9 18. a7 19. x12 20. y9
21. x8 22. y15 23. a20 24. x16 25. b12
1.9 Numerical Expression Evaluation with Basic Operations
Answers
1. 17 2. 27 3. 5 4. 14 5. 23
6. 12 7. 29 8. 29 9. 14 10. 34
11. 23 12. 55 13. 15 14. 50 15. 54
1.10 Expression Evaluation with Powers and Grouping Symbols
Answers
1. 18 2. 11 3. 15 4. 80 5. 16
6. 14 7. 27 8. 25 9. 36 10. 11
11. 13 12. 147 13. True 14. False 15. False
1.11 Mental Math for Addition/Subtraction Equations
Answers
1. 5 2. 5 3. 13 4. 5 5. 22
6. 12 7. 4 8. 15 9. 6 10. 12
11. 12 12. 5 13. 7 14. 7 15. 42
16. 14 17. 28 18. 3 19. 7 20. 16
Chapter 1 – Algebraic Thinking Answer Key
CK-12 Middle School Math Concepts - Grade 7 4
1.12 Mental Math for Multiplication/Division Equations
Answers
1. 5 2. 8 3. 9 4. 7 5. 4
6. 2 7. 2 8. 3 9. 6 10. 20
11. 33 12. 60 13. 56 14. 72 15. 36
1.13 Appropriate Tools for Measurement of Squares and Rectangles
Answers
1. feet/meters 2. Centimeters/inches 3. Feet/meters 4. Feet/meters
5. kilometers/miles 6. Inches/centimeters 7. Feet/meters 8. Centimeters/inches
9. centimeters/inches 10. Feet/meters 11. Inches/centimeters 12. Feet/meters
13. feet/meters 14. Kilometers/miles 15. Kilometers/miles 16. Kilometers/miles
1.14 Area and Perimeter of Rectangles
Answers
1. P = 30 in. A = 50 in2 2. P = 40 ft. A = 96 ft2
3. P = 32 ft. A = 55 ft.2 4. P = 70 mi. A = 306 mi2
5. P = 84 ft A = 440 ft2 6. P = 28 cm A = 48 cm2
7. P = 74 cm A = 340 cm2 8. P = 10 ft A = 6 ft2
9. P = 52 yds A = 165 yds2 10. P = 32 yds A = 60 yds2
11. P = 24 ft A = 36 ft2 12. P = 32 ft. A = 64 ft2
13. P = 36 in. A = 81 in2 14. P = 16 in A = 16 in2
15. P = 48 in. A = 144 in2 16. P = 28 ft A = 49 ft2
17. P = 20 cm A = 25 cm2 18. P = 12 m A = 9 m2
19. P = 40 m A = 100 m2 20. P = 44 yds A = 121 yds2
Chapter 1 – Algebraic Thinking Answer Key
CK-12 Middle School Math Concepts - Grade 7 5
1.15 Unknown Dimensions Using Formulas
Answers
1. 4 ft 2. 8 m 3. 10 miles 4. 11 inches 5. 12 ft
6. 6 ft 7. 4 ft 8. 6.4 ft 9. 3 m 10. 10 ft
11. 2 inches 12. 12 inches 13. 16 inches 14. 22.5 inches 15. 8.75 ft.
1.16 Problem Solving Models
Answers
1. 7 2. 124 pounds 3. 1 meter 4. $1.50 per ride 5. 5 rows
6. 119 sq. ft 7. 152 miles per day 8. 57 points 9. $6.25 sandwich 10. l = 9 meters
11 – 15 Answers will vary
1.17 Comparison of Problem Solving Models
Answers
1. $43.75 2. 224 3. 40 ft.
4. 39 rows 5. Yes, both are smaller than 14 inches 6. Ned = 416, Ella = 208, Peter = 104
7. $8.00 per hour 8. 40.5 pounds 9. Figure A
10. 280 miles 11. 5 12. $24.00
13. 87 people 14. 116 people 15. 106 people
Chapter 2 – Using Decimals Answer Key
CK-12 Middle School Math Concepts - Grade 7 6
2.1 Decimal Comparisons without Rounding
Answers
1. < 2. > 3. >
4. < 5. > 6. <
7. < 8. < 9. >
10. 373.129, 373.192, 373.219, 373.291
11. .4674, .4754, .4755, .4764
12. 7.06, 7.16, 7.2, 7.21
13. 25.074, 25.407, 25.417, 25.741
14. 15.0001, 15.001, 15.067, 15.100
15. 6.008, 6.087, 6.780, 6.870
2.2 Decimal Rounding Given Place Value
Answers
1. 622 2. 1,318 3. 17 4. 50 5. 124
6. 350 7. 16, 789 8. 13 9. 146 10. 32.30
11. .1062 12. 2.40047 13. 4,062.0 14. .1238 15. 3.457
2.3 Decimal Comparisons with Rounding
Answers
1. = 2. = 3. <
4. > 5. > 6. <
7. = 8. = 9. <
10. 2.033, 2.034, 2.035, 2.039
11. 16.088, 16.089, 16.089, 16.100
12. 3.821, 3.822, 3.828, 3.829
13. .056, .057, .058, .060
14. .7, .8, .9, 1.0, 2.0
15. $54.00 two person, $68.00 Three Person, $90 Four person
The best estimate is for 2 – three person units to be rented
Chapter 2 – Using Decimals Answer Key
CK-12 Middle School Math Concepts - Grade 7 7
2.4 Decimal Addition
Answers
1. 740.811 2. 1.9445 3. 55.92 4. 79.604 5. 72.556
6. 112.5 7. 1521.2 8. 11.1 9. 1.9 10. 10.4
11. 610.61 12. 8.46 13. 335.78 14. 2.05 15. 4.77
2.5 Decimal Addition Using Front- End Estimation
Answers
1. 6.8 2. 6.2 3. 10.9 4. 11 5. 6.9
6. 17.5 7. 15.5 8. 14.5 9. 39 10. 43.7
11. 37.3 12. 39.4 13. 1.0 14. 13.1 15. 1.6
2.6 Commutative Property of Addition with Decimals
Answers
1. Associative 2. Commutative 3. Associative
4. Commutative 5. Commutative 6. Associative
7. Commutative 8. Associative 9. .292
10. 2.115 11. .306 12. 6.174
13. 1.08 14. $50.50 15. 61.2 yards
2.7 Decimal Subtraction
Answers
1. .82 2. .0386 3. 12.5034 4. 11.94 5. 191.4
6. 8.146 7. 75.75 8. .7669 9. 788.244 10. 101.76
11. 12.88 12. .18 13. 699.97 14. .33 15. .97
Chapter 2 – Using Decimals Answer Key
CK-12 Middle School Math Concepts - Grade 7 8
2.8 Decimal Subtraction Using Front- End Estimation
Answers
1. 2.2 2. 1.0 3. 6.9 4. 6.4 5. 1.2
6. 9.1 7. 1.1 8. 10.2 9. .2 10. .5
11. .6 12. .4 13. .3 14. 4.1 15. .1
2.9 Inverse Property of Addition in Decimal Equations
Answers
1. 4.62 2. 11.58 3. 10.05 4. 2.952 5. 65.82
6. 45.32 7. 78.35 8. 5.78 9. 69.11 10. 204.495
11. 45.68 12. 1.6 pounds 13. 6.495 km 14. $32.49 15. 8.5 Liters
2.10 Decimal Multiplication
Answers
1. 10.16 2. .1656 3. 20.3406 4. 18.432 5. 19.2814
6. 1.935 7. 9.6252 8. 172.12 9. 6.51 10. 22.54
11. 100 12. 65.7 13. 10.56 14. 61.88 15. 80.91
2.11 Estimation to Check Decimal Multiplication
Answers
1. 6.9 2. 124.2 3. .0624 4. 539.5 5. 5.488
6. 9.49 7. 5.44 8. .51 9. .4611 10. .3724
11. 24.75 12. 132 13. 294 14. .0099 15. 70.3
Chapter 2 – Using Decimals Answer Key
CK-12 Middle School Math Concepts - Grade 7 9
2.12 Commutative Property of Multiplication with Decimals
Answers
1. 37.048p 2. 100.068q 3. 330.12x 4. 14.84r 5. 21.28x
6. 6.72y 7. 20.77x 8. 20.493r 9. 15.876y 10. 9.966x
11. 15.68x 12. 29.44y 13. 10.35x 14. 197.12x 15. 259.86y
2.13 Decimal Division
Answers
1. 1.2 2. 1.3 3. 1.5 4. 2 5. 14.7
6. 1.6 7. 8.8 8. 10.3 9. 7.5 10. 4.9
11. 4.50 12. 12.79 13. 244.90 14. 2.04 15. 3.57
2.14 Estimation to Check Decimal Division
Answers
1. 70 2. .3 3. 20 4. 4 5. 14.4
6. 2.8 7. 2.9 8. 2 9. 3.7 10. 5.1
11. 3.9 12. 5.4 13. 5 14. 8.7 15. .2
2.15 Division to Solve Decimal Equations
Answers
1. 2.1 2. 3.3 3. 4.1 4. 4.2 5. 5.6
6. 2.5 7. 6.3 8. 6.3 9. 6.8 10. 9.6
11. .581 12. 11.7 13. 5.5 km 14. 6.8 m 15. 96.54 kilometers per hour
Chapter 2 – Using Decimals Answer Key
CK-12 Middle School Math Concepts - Grade 7 10
2.16 Scientific Notation
Answers
1. 5.6 x 10-9 2. 2.4 x 1010 3. 9.6 x 1017
4. 1.2 x 10-7 5. 3.6 x 107 6. 9.8 x 10-4
7. 3.4 x 10-8 8. 3.45 x 108 9. 380,800,000,000
10. .0000021 11. 591,200,000 12. .00000678
13. 5,700,000,000 14. .000045 15. 32,100,000
2.17 Comparison of Numbers in Scientific Notation
Answers
1. > 2. < 3. > 4. < 5. > 6. >
7. > 8. < 9. > 10. < 11. >
12. 2.1 x 1020, , 6.4 x 1015, 1.7 x 1015, 9.2 x 1010
13. 8.71 x 10-3, 4.16 x 10-3, 5.63 x 10-5, 3.42 x 10-6
14. .000202, .0000221, .000212, .0000202
15. 8.61 x 108, 86,120,000, 86,102,000, 8.61 x 107
2.18 Operations with Numbers in Scientific Notation
Answers
1. 8.8 x 103 2. 4.1 x 104 3. 12.1 x 105
4. 8 x 103 5. 32.64 x 106 6. 6.2 x 102
7. 9.8 x 105 8. 2.1 x 103 9. 10.1 x 103
10. 3.96 x 106 11. 4.1 x 102 12. 274.6 x 10-6
13. 1.64 x 104 14. 9.728 x 103 15. .71 x 103
Chapter 2 – Using Decimals Answer Key
CK-12 Middle School Math Concepts - Grade 7 11
2.19 Metric System
Answers
1. 10 m 2. 1,000,000 cL 3. 1000 cg
4.10 cL 5. .0002 kg 6. .2 m
7. .002 kL 8. .02 kg 9. 1.8076 m
10. 1807.6 mm 11. .0018076 km 12. 490.9 L
13. 49,090 cL 14. 490,900 ML 15. 1000
2.20 Appropriate Tools for Metric Measurement
Answers
1. graduated cylinder 2. Metric tape 3. Scale
4. Graduated cylinder 5. kilometer 6. Gram
7. Centimeter 8. Milliliter 9. kilograms
10. Kilograms 11. Meter 12. 113.4 meters
13. 3.525 liters 14. Max, Taboo, Arnaud, Josie 15. 1800 grams
2.21 Conversions of Length, Mass and Capacity in Metric Units
Answers
1. 100 mm 2. 100,000 m 3. .453 km
4. 1,567,000 m 5. 67 m 6. 780 cm
7. 65,570 mL 8. 282.03 mL 9. 9761 mL
10. 2946.7 centigrams 11. .00562 centigrams 12. 4505.84 centigrams
13. .08996 kiloliters 14. .045217 kiloliters 15. 31.20700 kiloliters
Chapter 2 – Using Decimals Answer Key
CK-12 Middle School Math Concepts - Grade 7 12
2.22 Comparison of Metric Measurement
Answers
1. > 2. < 3. > 4. < 5. < 6. > 7. >
8. > 9. < 10. < 11. > 12. = 13. >
14. 7,938,200 mg, 7,838,200 cg, 79,382 g, 79,282 kg
15. 21.06 kL, 21,061 L, 21,161,000 mL, 2,261,000
2.23 Estimation of Conversion to Metric Units
Answers
1. 1.18 Liters 2. 4.57 meters 3. 152.4 mm
4. 6.08 kg 5. .24 Liters 6. .004 km
7. 152.4 cm 8. 365.76 cm 9. 203.2 mm
10. 807.96 grams 11. 298.45 mm 12. 7.57 Liters
13. 6.80 kilograms 14. 1.05 km 15. Computer
Chapter 3 – Using Fractions Answer Key
CK-12 Middle School Math Concepts - Grade 7 13
3.1 Equivalent Fractions
Answers
1. ¾, 9/12, 18/24, 27/36 2. 21/8 3. 17/5 4. 8/7 5. 49/9
6. 1 1/28 7. 2 2/5 8. 4 ½ 9. 2 1/8 10. 7 1/3
11. 4/6, 8/12, 16/24
12. 3/7, 9/21, 6/14
13. 6/8, 9/12, 18/24
14. 18/20, 27/30, 36/40
15. 14/16, 21/24, 28/32
3.2 Mixed Number and Fraction Estimation
Answers
1. 1 2. ½ 3. 0 4. 1 5. 0
6. 0 7. 1 8. ½ 9. ½ 10. 1
11. 3 12. 6 13. 44 14. 8 15. 7
3.3 Fraction and Mixed Number Comparison
Answers
1. < 2. > 3. > 4. < 5. =
6. > 7. > 8. = 9. < 10. =
11. 1/3, 4/9, 5/6
12. ¼, 2/3, 6/7
13. 2/3, 4/5, 6/6
14. ½, 3/5, 2/3
15. 2/7, ¼, 3/6
16. 1/6, 2/9, 2/5
17. parsley, cheese, asparagus
18. Wall A
Chapter 3 – Using Fractions Answer Key
CK-12 Middle School Math Concepts - Grade 7 14
3.4 Addition of Fractions
Answers
1. 1/2 2. 1 1/12 3. 7/10 4. 5/18 5. 3 9/20
6. 10 11/12 7. 3 5/12 8. 7 2/15 9. 6 1/3 10. 16 3/5
11. 6 5/6 12. 9 23/45 13. 2 5/6 14. 19 3/10 15. 31 23/36
3.5 Estimation of Sums of Mixed Numbers and Fractions
Answers
1. 1 2. 1 ½ 3. 1 ½ 4. 0 5. 1
6. 1 7. 1 8. 1 ½ 9. 1 10. 1
11. 7 12. 14 ½ 13. 6 14. 2 15. 19
3.6 Commutative Property of Addition with Fractions
Answers
1. ½ + y 2. x + 5 3. 7/9 + y 4. 4 + x
5. x + 8 5/6 6. 1 1/8 + x 7. 1/3 + x 8. x + 5 11/14
9. 4 11/12 + x 10. 5 13/30 + x 11. 6 2/3 + x 12. 5 11/18 + x
13. 13/21 14. 4 23/40 15. 15 17/84 16. ¼ + 4/7 + x
3.7 Subtraction of Fractions
Answers
1. 9/20 2. 0 3. 11/21 4. 5/8
5. 2 9/10 6. 1 1/8 7. 5/6 8. 2 5/14
9. 1 10. 0 11. 1 12. ½
13. 11 14. 0 15.0 16. 3 ½
Chapter 3 – Using Fractions Answer Key
CK-12 Middle School Math Concepts - Grade 7 15
3.8 Estimation with Mixed Number/Fraction Subtraction
Answers
1. 1 2. 0 3. 1 4. ½ 5. 1
6. 11 7. 0 8. ½ 9. 3 ½ 10. 0
11. 2 12. 9 13. 6 14. 17 ½ 15. 8
3.9 Inverse Property of Addition in Fraction Equations
Answers
1. 3/5 2. ½ 3. 1/9 4. 1/7 5. 1/12
6. 7/15 7. 3/13 8. 3/7 9. 2/5 10. 5/12
11. 5 ½ 12. 1 ½ 13. 3 5/8 14. 15 ¼ 15. 27/56
3.10 Products of Mixed Numbers
Answers
1. 3/28 2. 5/9 3. ¼ 4. 8/21
5. 8/9 6. 3 9/35 7. 5 7/40 8. 36/55
9. 9 ¼ 10. 1/42 11. 6 7/18 12. 7/60
13. 3/7 14. 9/20 15. 5/42 16. 1 13/15
3.11 Product Estimation of Mixed Numbers/Fractions
Answers
1. 1 2. 12 3. ½ 4. ½ 5. 17 ½
6. 18 7. 7 ½ 8. 35 9. 35 10. 4
11. 49 12. 18 13. 35 14. 84 15. 192
Chapter 3 – Using Fractions Answer Key
CK-12 Middle School Math Concepts - Grade 7 16
3.12 Commutative Property with Products of Fractions
Answers
1. 6/14 2. 9/20 3. 5/42 4. 1 13/15 5. 1/7
6. 9/50 7. 2/81 8. 7/10x 9. 2 2/9x 10. 1 1/24x
11. 1/2x 12. 1/2x 13. 6/25x 14. $22.50 15. 2 1/6 ft
3.13 Division of Fractions
Answers
1. 2/15 2. 1 2/3 3. 8/25 4. 2 2/3 5. 4
6. 32/75 7. 4 5/6 8. 15 ¾ 9. 2 5/16 10. 6/7
11. 2 3/10 12. 10 22/35 13. 12/35 14. 36 4/5 15. 4 29/40
3.14 Quotient Estimation with Mixed Numbers/Fractions
Answers
1. 1 2. 1 3. ½ 4. 2 5. 4
6. 2 7. 12 8. 3 9. 4 10. 3
11. 5 12. 8 13. 2 14. 3 15. 13
3.15 Fractions as Decimals
Answers
1. .6 2. .5 3. .8 4. .75 5. .375
6. .875 7. 2.25 8. 5.4 9. 6.5 10. 11.625
11. 10.5 12. 18.75 13. 12.8 14. 19.75 15. 22.25
Chapter 3 – Using Fractions Answer Key
CK-12 Middle School Math Concepts - Grade 7 17
3.16 Repeating Decimals
Answers
R is for repeating decimal
1. .66 R 2. .83 R 3. 5.3 R 4. .33 R 5. .75
6. .166 R 7. .125 8. .4285714286 9. .33 R 10. 4.66 R
11. 7.33 R 12. 6.83 R 13. 8.5 14. 9.66 R 15. 11.2
3.17 Decimals as Fractions
Answers
1. 3/10 2. 2/5 3. 1/5 4. 53/100
5. 55/100 6. 2/25 7. ¼ 8. 23/100
9. 219/250 10. 64/125 11. 74 17/50 12. 3 22/25
13. 5 3/5 14. 12 4/5 15. 23 3/50 16. 987/1000
3.18 Positive and Negative Fraction and Decimal Comparison
Answers
1. < 2. < 3. > 4. < 5. =
6. > 7. < 8. = 9. < 10. <
11. 1/3, .25, .54
12. .55, .613, ¾
13. 1/9, .252, .31
14. .05, .546, 7/8
15. .09, .1, .88
Chapter 3 – Using Fractions Answer Key
CK-12 Middle School Math Concepts - Grade 7 18
3.19 United States Customary Units
Answers
1. 3 quarts 2. 32 Tablespoons 3. 56 ounces
4. 2640 feet 5. 3.5 pounds 6. 2 feet
7. 66 inches 8. 8 ounces 9. 36 inches
10. 3 feet 11. 64 Tablespoons 12. 192 teaspoons
13. 2.086 pounds 14. 32 ounces 15. 2 pints
3.20 Appropriate Tools for Customary Measurement
Answers
1. Scale 2. Measuring spoon 3. Measuring cup
4. Tape measure 5. measuring spoon 6. Measuring cup
7. Scale 8. Feet/yards 9. gallons
10. Inches 11. Pounds 12. Miles
13. gallons 14. Gallons 15. Inches
3.21 Conversion of Customary Units of Measurement
Answers
1. 5.4 yards 2. 352 yards 3. 29.3 yards
4. 30 yards 5. 300 yards 6. 131.5 pounds
7. 6 pounds 8. 375 pounds 9. 30,000 pounds
10. 204 pints 11. 3.56 pints 12. 76 pints
13. 8 pints 14. 36 pints 15. 536 pints
3.22 Conversion Estimation between Systems of Measure
Answers
1. 8.8 pounds 2. 24.6 feet 3. 25.38 cupts
4. 8.215 miles 5. 3.72 miles 6. 33.84 cuts
7. 44 pounds 8. 39.36 feet 9. 3.78 liters
10. 963.8 gallons 11. 23.58 kilograms 12. 22.86 centimeters
13. 4.26 meters 14. 3.78 Liters 15. 8.04 kilometers
Chapter 4 – Using Integers Answer Key
CK-12 Middle School Math Concepts - Grade 7 19
4.1 Integers that Represent Different Situations
Answers
1. -10 2. +50 3. -$20.00
4. -35 5. -120 6. +15,000
7. -20 + 15 8. 15 – 20 9. 20 + 35
10. -19 – 30 11. 30,000 + 15,000 12. -15,000 – 12,000
13. -60 + 15 14. -15 – 20 15. 1500 + 1000
4.2 Absolute Value of Integers
Answers
1. -20 2. 7 3. -22 4. 34 5. 0
6. 9 7. -14 8. -25 9. 13 10. 11
11. 5 12. 17 13. 9
4.3 Comparison of Integers with Absolute Value
Answers
1. > 2. > 3. > 4. < 5. >
6. > 7. > 8. = 9. < 10. =
11. = 12. > 13. < 14. < 15. =
4.4 Sums of Integers on a Number line
Answers
1. 7 2. 0 3. -6 4. 2 5. -14
6. -8 7. 12 8. 1 9. 7 10. -3
11. -9 12. -5 13. -13 14. 10 15. -4
Chapter 4 – Using Integers Answer Key
CK-12 Middle School Math Concepts - Grade 7 20
4.5 Sums of Integers Using Absolute Value
Answers
1. 11 2. -15 3. -5 4. -31 5. -7
6. -24 7. -70 8. -14 9. -2 10. -28
11. -2 12. -2 13. -3 14. -27 15. -20
4.6 Simplify Variable Expressions Involving Integer Addition
Answers
1. 4z 2. 2z 3. 2x 4. 10y 5. –x
6. 0 7. 11a 8. -11y 9. -11d + 2 10. 4x – 5
11. 4y 12. -6x 13. 11a 14. 3,000 ft. 15. -5 degrees F
4.7 Differences of Integers Using a Number Line
Answers
1. 2 2. -8 3. 3 4. 7 5. -9
6. 11 7. 0 8. -9 9. 9 10. -11
11. -61 12. -27 13. -7 14. -75 15. -161
4.8 Differences of Integers Using Absolute Value
Answers
1. 8 2. -19 3. -4 4. 22 5. -25
6. 37 7. -3 8. -10 9. 36 10. -5
11. -13 12. 29 13. 14 14. -13 15. 38
Chapter 4 – Using Integers Answer Key
CK-12 Middle School Math Concepts - Grade 7 21
4.9 Simplify Variable Expressions Involving Integer Subtraction
Answers
1. -11m 2. -6c 3. -15a
4. 16a 5. 2a 6. -5a
7. 17z 8. -34x 9. -37a
10. 34x 11. 28y 12. 88z – (-44x) or 88z + 44x
13. -15a – 8x 14. -15a – 8x – 2 15. -15a – 7y
4.10 Integer Multiplication
Answers
1. -27 2. -72 3. 96 4. -28 5. 22
6. -75 7. 30 8. 56 9. 24 10. -9
11. 18 12. 24 13. 54 14. -48 15. 44
4.11 Simplify Variable Expressions Involving Integer Multiplication
Answers
1. 42k 2. 24ab 3. -6abc 4. -48ab 5. 36xy
6. -32x 7. 20ab 8. -24abc 9. -144abc 10. 96xz
11. 28ac 12. -132abc 13. 44abc 14. 216ab 15. 63ab
4.12 Integer Division
Answers
1. -3 2. 3 3. 6 4. -8 5. 7
6. -5 7. 20 8. -5 9. 9 10. -7
11. -8 12. 4 13. -4 14. 2 15. -6
Chapter 4 – Using Integers Answer Key
CK-12 Middle School Math Concepts - Grade 7 22
4.13 Simplify Variable Expressions Involving Integer Division
Answers
1. -4t 2. 8n 3. 2 4. -4n 5. 9y
6. -8t 7. -6x 8. 6 9. 4 10. 4a
11. 11y 12. 11ab 13. 12xy 14. 13xy 15. -45xyz
4.14 Properties of Rational Numbers
Answers
1. -11/1 2. 19/6 3. 9/1 4. 8/100 5. -34/100
6. 678/1000 7. 4/5 8. -19/1 9. 25/1 10. 17/100
11. 2347/10,000 12. -17/1 13. 347/1 14. 87/1 15. -97/1
4.15 Comparison of Rational Numbers
Answers
1. = 2. < 3. > 4. < 5. <
6. > 7. = 8. > 9. > 10. <
11. = 12. > 13. > 14. < 15. .9 , .9, ½, 0
4.16 Expressions and the Distributive Property
Answers
1. 42 2. 25 3. 96 4. 90 5. 18
6. 9 7. 24 8. 10 9. 28 10. 36
11. 5x + 15 12. 6y – 12 13. 5x + 45 14. 8a + 8b 15. 7x – 7y
Chapter 4 – Using Integers Answer Key
CK-12 Middle School Math Concepts - Grade 7 23
4.17 Points in the Coordinate Plane
Answers
1. N (-3, 2) M(0, -6) P(3, -2)
2. (-9,7) 3. (-7,-8) 4. (8,7) 5. (7, -9) 6. (-5, 1) 7. (3, 4)
8. (0, -5) 9. (-9, 10) 10. (-7, 1) 11. (-2, -10) 12. (3, 1) 13. (5, 10)
14.
15.
4.18 Scatter Plots
Answers
1. No Correlation 2. 1 3. 2 4. 1 5. 2
6. 3 7. 2 8. True 9. False 10. False
11. Scatter plots – answers vary 12. True 13. False 14. False 15. 8
Chapter 5 – Using Ratios, Rates and Proportions Answer Key
CK-12 Middle School Math Concepts - Grade 7 24
5.1 Equivalent Ratios
Answers
1. yes 2. No 3. No 4. Yes 5. Yes
6. No 7. yes 8. No 9. No 10. Yes
11. Yes 12. No 13. yes 14. Yes 15. No
5.2 Ratios in Simplest Form
Answers
1. 1 to 2 2. 1 : 4 3. 9 to 11 4. 9/10 5. 5/11
6. 1 to 7 7. 9 to 5 8. 3 to 1 9. 2 : 1 10. 3 to 2
11. 1 to 2 12. 6 to 1 13. 3 : 1 14. 8 to 1 15. 3/2
5.3 Comparison of Ratios in Decimal Form
Answers
1. .25 2. .5 3. .75 4. 1.6 5. .25
6. .8 7. .09 8. .75 9. .36 10. .3
11. .75 12. .43 13. > 14. < 15. =
5.4 Identification and Writing of Equivalent Rates
Answers
1. 1 for $5 2. 1 for $5 3. 1 for $2.50
4. 1 for $2.50 5. 1 for $9.00 6. 1 for $4.00
7. 1 mile in 2 minutes 8. 5 miles in 1 hour 9. 5 feet in 1 minute
10. 2 pounds in 1 week 11. 1/5 12. 1/5
13. 1/5 14. ½ 15. 9/1
Chapter 5 – Using Ratios, Rates and Proportions Answer Key
CK-12 Middle School Math Concepts - Grade 7 25
5.5 Unit Rates
Answers
1. 1 for $5 2. 1 for $5 3. 1 for $2.50
4. 1 for $4 5. 9 for $1 6. 1 for $4
7. 1 mile in 2 minutes 8. 5 miles in 1 hour 9. 5 feet in 1 minute
10. 2 pounds in 1 week 11. 2 pounds for $1.00 12. 6 miles in 1 hour
13. 3” for $1.00 14. 15 miles per gallon 15. 50 miles in 1 hour
5.6 Comparison of Unit Rates
Answers
1. yes 2. No 3. Yes
4. $3.00 per gallon 5. .69 for 1 6. 160 per hour
7. $1.25 per square foot 8. 62 per minute 9. .30
10. .28 11. 12 ounce/2 cents 12. 47 mph
13. 51 mph 14. Amy 15. 4 mph
5.7 Slope
Answers
1. Positive 2. 0 3. Negative 4. 0 5. Positive
6. 0 7. Negative 8. Positive 9. Negative 10. Negative
11. no 12. False 13. True 14. True 15. True
Chapter 5 – Using Ratios, Rates and Proportions Answer Key
CK-12 Middle School Math Concepts - Grade 7 26
5.8 Slope of a Line Using Two Points
Answers
1. 3/2 2. 0 3. -7/3 4. 0
5. 3/2 6. 0 7. -7/3 8. 4/5
9. -2/1 10. -7/5 11. -4/3
12.
13. Positive
14.
15. Negative
Chapter 5 – Using Ratios, Rates and Proportions Answer Key
CK-12 Middle School Math Concepts - Grade 7 27
5.9 Proportions
Answers
1. yes 2. Yes 3. No 4. Yes 5. No
6. No 7. yes 8. No 9. a = 5 10. x = 1
11. n = 14 12. z = 4 13. t = 36 14. k = 30 15. x = 16
5.10 Proportions with Variables in the Numerator
Answers
1. 4 2. 10 3. 12 4. 4 5. 8
6. 10 7. 7 8. 9 9. 5 10. 6
11. 9 12. 2 13. 9 14. 18 15. 2.25
5.11 Proportions Using Cross Products
Answers
1. 3 2. 6 3. 20 4. 3.5
5. 2.5 6. 18 7. 5 8. 4.5
9. 12 10. 15 11. 25 12. 18
13. 9 14. 49 15. 4 16. 42.5
5.12 Proportions with Variables in the Denominator
Answers
1. 10 2. 30 3. 14 4. 42 5. 99
6. 48 7. 34 8. 30 9. 45 10. 7.5
11. 9.5 12. 12.5 13. 54 14. 24 15. 11.5
Chapter 5 – Using Ratios, Rates and Proportions Answer Key
CK-12 Middle School Math Concepts - Grade 7 28
5.13 Scale Distances or Dimensions
Answers
1. 5” 2. 20” 3. 30” 4. 7 cm 5. 14 cm
6. 21 cm 7. 3” 8. 6” 9. 2 cm 10. 1 cm
11. 4” x 3.5” 12. 12 m 13. 344 miles 14. 18 mm 15. 1670 ft.
5.14 Unit Scale to Find Actual Distances
Answers
1. 200 miles 2. 300 miles 3. 25 miles
4. 1000 miles 5. 1100 miles 6. 1250 miles
7. 50 miles 8. 525 miles 9. 40 miles
10. 80 miles 11. 170 miles 12. 380 miles
13. 260 miles 14. 10 miles 15. 30 miles
5.15 Scale Factor to Find Actual Dimensions
Answers
1. 10 cm 2. 20 cm 3. 20 cm
4. 10 cm 5. 1.5” 6. 3”
7. 4000 cm 8. 80 mm 9. 8 cm
10. 4” 11. 1.5 mm 12. 108 ft.
13. 6660 ft. 14. a. 7.5 m b. 5.1 m 15. a. 5 m x 4 m b. 20 sq. m
Chapter 5 – Using Ratios, Rates and Proportions Answer Key
CK-12 Middle School Math Concepts - Grade 7 29
5.16 Problem Solving Plan, Proportions
Answers
1. 4 2. Lionel 3. 44 miles 4. .83 m 5. 125 students
6. Brand x 7. 6 miles 8. 20 miles 9. 2” 10. 6”
11. 8 ft. 12. 6 ft. 13. 9 ft. 14. 4 ft. 15. 3”
5.17 Conversion Using Unit Analysis
Answers
1. 5280 ft. 2. 97,680 ft. 3. 3750 mL
4. 18,250 mL 5. 6000 pounds 6. 5000 pounds
7. 9,500 pounds 8. 54 feet 9. 48 inches
10. 105 inches 11. 29,500 mL 12. 4 ounces
13. 108 inches 14. $4.50 15. 8 pints
Chapter 6 – Using Percents Answer Key
CK-12 Middle School Math Concepts - Grade 7 30
6.1 Percents
Answers
1. 10/100 2. 6/100 3. 22/100
4. 41/100 5. 33/100 6. 70/100
7. 77/100 8. 19/100 9. 25/100
10. 15/100 11. 7/100 12. 29/100
13. 88/100 14. 92/100 15. 90/100
6.2 Percents as Fractions
Answers
1. 1/10 2. 3/50 3. 11/50 4. 41/100 5. 33/100
6. 7/10 7. 77/100 8. 19/100 9. 3/25 10. 1/5
11. 1/20 12. ¼ 13. 2/5 14. 3/5 15. 9/10
6.3 Fractions as Percents
Answers
1. 50% 2. 25% 3. 75% 4. 11% 5. 20%
6. 50% 7. 17% 8. 125% 9. 250% 10. 233%
11. 54% 12. 50% 13. 42% 14. 40% 15. 50%
6.4 Percent of a Number
Answers
1. 2.5 2. 6 3. 20 4. 27 5. 150
6. .8 7. 10 8. 3.8 9. 4.5 10. 3.6
11. 6.75 12. 21.25 13. 27 14. 100 15. 165
Chapter 6 – Using Percents Answer Key
CK-12 Middle School Math Concepts - Grade 7 31
6.5 Proportions to Find Percent, P
Answers
1. 50% 2. 20% 3. 25% 4. 20% 5. 33.3%
6. 50% 7. 20% 8. 25% 9. 60% 10. 75%
11. 13.3% 12. 33.3% 13. 20% 14. 80% 15. 12.5%
6.6 Proportions to Find Part a
Answers
1. 4.5 2. 2 3. 7.2 4. 8.8 5. 30
6. 15 7. 32 8. 24 9. 60 10. .6
11. 1 12. 12.8 13. 5.75 14. 8.5 15. 9.9
6.7 Proportions to Find Base b
Answers
1. 50 2. 70 3. 50 4. 40 5. 32
6. 28 7. 500 8. 5 9. 72 10. 300
11. 75 12. 138.46 13. 120 14. 32.72 15. 400
6.8 Percents as Decimals
Answers
1. .12 2. .15 3. .03 4. .67 5. .18
6. .78 7. .34 8. .07 9. .06 10. .36
11. .28 12. .335 13. .185 14. .1325 15. .0675
Chapter 6 – Using Percents Answer Key
CK-12 Middle School Math Concepts - Grade 7 32
6.9 Decimals as Percents
Answers
1. 45% 2. 30% 3. 67.5% 4. 90% 5. 8%
6. 78.5% 7. 22% 8. 9.5% 9. 54% 10. 27.5%
11. 4% 12. 4.5% 13. 11.2% 14. 460% 15. 67.2%
6.10 Small and Large Percents as Decimals
Answers
1. .0034 2. .005 3. 3.5 4. 6.5 5. .0030
6. .0010 7. .0009 8. .0022 9. 2.3 10. 5
11. 7 12. .00012 13. .0004 14. .006 15. .0016
6.11 Percent Equation to find Part a
Answers
1. 3.6 2. 3 3. 4.5 4. 3.24 5. 5.4
6. 44 7. 9 8. 67.5 9. 8.8 10. 15
11. 1.2 12. 198 13. 10.8 14. 42.55 15. 32.8
6.12 Percent Equation to Find Percent
Answers
1. 50% 2. 50% 3. 25% 4. 25% 5. 40%
6. 50% 7. 50% 8. 25% 9. 50% 10. 92%
11. 14% 12. 45% 13. 66% 14. 70.4% 15. 10%
Chapter 6 – Using Percents Answer Key
CK-12 Middle School Math Concepts - Grade 7 33
6.13 Percent Equation to Find the Base b
Answers
1. 50 2. 50 3. 90 4. 24 5. 37.5
6. 70 7. 320 8. 200 9. 112.5 10. 64
11. 333.3 12. 83.3 13. 140 14. 550 15. 335
6.14 Percent of Increase
Answers
1. 60% 2. 100% 3. 178% 4. 264% 5. 12.5%
6. 233% 7. 17.6% 8. 20% 9. 38.5% 10. 25%
11. 50% 12. 40% 13. 14.3% 14. 12.5% 15. 22.2%
6.15 Percent of Decrease
Answers
1. 60% 2. 63% 3. 55.5% 4. 6.6% 5. 33.3%
6. 16.6% 7. 25% 8. 7% 9. 19.6% 10. 87%
11. 50% 12. 12% 13. 33% 14. 15% 15. 95%
6.16 Percent of Change
Answers
1. 22.5 2. 25.5 3. 16.2 4. 27.3 5. 10.56
6. 77.4 7. 40 8. 86.33 9. 42 10. 12
11. 209 12. 67.5 13. 147.6 14. 1320 15. 13,680
Chapter 6 – Using Percents Answer Key
CK-12 Middle School Math Concepts - Grade 7 34
6.17 Prices Involving Discounts
Answers
1. $22.80 2. $14.40 3. $21.60
4. $30.00 5. $16.20 6. $11.94
7. $54.00 8. $108.00 9. $102.00
10. $20.40 11. $46.75 12. $30.18 or $30.17
13. $15.30 14. $7.44 15. $21.25
6.18 Prices Involving Sales Tax
Answers
1. $3.00 2. $5.60 3. $5.00 4. $7.00 5.$9.00
6. $10.00 7. $18.00 8.$24.00 9. $25.00 10. $22.00
11. $26.00 12. $27.00 13. $19 – 20.00 14. $18.00 15. $20.00
6.19 Total Bill Involving Tip and Tax
Answers
1. $70.37 2. $53.63 3. $80.60 4. $31.62 5.$23.25
6. $73.16 7. $26.66 8. $55.18 9. $15.50 10. $53.32
11. $110.98 12. $123.19 13. $292.33 14. $372.62 15. $841.03
6.20 Simple Interest Equation to Find Interest Rate
Answers
1. $40 2. $30 3. $200 4. $60 5. $96
6. $45 7. $92 8. $40 9. $625 10. $330
11. $525 12. $2100 13. $3510 14. $8050 15. $25,000
Chapter 6 – Using Percents Answer Key
CK-12 Middle School Math Concepts - Grade 7 35
6.21 Simple Interest
Answers
1. $45 2. $92 3. $40 4. $625 5. $330
6. $525 7. $2100 8. $138 9. $1787.50 10. $2400
11. 4 years 12. 2.5 years 13. $6.25 14. Avi, $2.60 more 15. $12,916.67
6.22 Interpretation of Circle Graphs
Answers
1. Baseball 2. Ice Hockey 3. 15% 4. 60 people 5. 27 people
6 – 8 Answers Vary
9. 0 10. Pizza 11. Chicken Sandwich or Tacos 12. 10% 13. 90%
14. 70% 15. 70% 16. 30%
17 – 18. Answers Vary
6.23 Circle Graphs to Display Data
Answers
1 – 3 Answers Vary
4. 43.2° 5. 90°
6. 100.8° or 101° 7. 151.2° or 151°
8. 68.4° or 68° 9. 288°
10. 324° 11. 122.4° or 122°
12. 54° 13. 18°
14. 36° 15. 280.8° or 281°
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 36
7.1 Addition and Subtraction Phrases as Equations
Answers
1. x + 5 2. x + 6 3. y + 8
4. n – 7 5. 8 – 4 6. n + 9
7. n – 5 = 10 8. 8 – 4 = x 9. 5 + y = 12
10. x – 16 = 80 11. 20 + x = 55 12. x + 15 = 40
13. n + 12 = 60 14. n – 15 = 90 15. x – 60 = 80
7.2 Multiplication and Division Phrases as Equations
Answers
1. 4x = 12 2. 6x = 30 3. 12y = 48 4. 14x = 28 5. 5y = 30
6. 8x = 64 7. 20/y = 4 8. 80/x = 4 9. 19x = 95 10. 13y = 39
11. 12/x = 6 12. x/2 = 8 13. x/7 = 14 14. 5x = 35 15. x/12 = 12
7.3 Single Variable Equations from Verbal Models
Answers
1. 10x = 30 2. 5x = 15 3. x + 7 = 11 4. x/3 = 12 5. x + 18 = 30
6. x/12 = 14 7. 7y = 49 8. x/13 = 7 9. 8y = 64 10. j – 8
11. c/3 12. 2s 13. w + 3 = l 14. n/3 = 6 15. 30 – 20 = c
7.4 Simplify Sums or Differences of Single Variable Expressions
Answers
1. 13a 2. 5x 3. 18y 4. 20a 5. 5y
6. 23a 7. 4b 8. 41x 9. 33y 10. 43a
11. 10x 12. 20a 13. 54b 14. 83x 15. 44y
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 37
7.5 Simplify Products or Quotients of Single Variable Expressions
Answers
1. 24a2 2. 18x 3. 28y2 4. 16a2 5. 44x2
6. 36b 7. 3a 8. 11 9. 25 10. 9
11. 5 12. 2y 13. 2 14. 5x/y 15. 41
7.6 Simplify Variable Expressions Involving Multiple Operations
Answers
1. 10a – 2b 2. 24b 3. 25a 4. 9x 5. 10y
6. 12a – 12b 7. 40a + 14b 8. 40a + 3b 9. 22a + 12y 10. 80a + 2b
11. 20y – 2x 12. 12x + 4y – 19z 13. 20y 14. 35y 15. 52y
7.7 Single Variable Addition Equations
Answers
1. 7 2. 17 3. 7 4. 17 5. 8
6. 6 7. 36 8. 35 9. 21 10. 226
11. 226 12. 206 13. 308 14. 8 15. 236
7.8 Single Variable Subtraction Equations
Answers
1. 17 2. 47 3. 38 4. 34 5. 41
6. 63 7. 80 8. 42 9. 41 10. 51
11. 5.1 12. 7.4 13. 15.6 14. 4.77 15. 14.64
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 38
7.9 Single Variable Multiplication Equations
Answers
1. 4 2. 12 3. -12 4. -8 5. 8
6. 9 7. -2 8. 2 9. -7 10. -3
11. -2 12. 2 13. -3 14. 3 15. 3
7.10 Single Variable Division Equations
Answers
1. 10 2. 21 3. -36 4. -80 5. 160
6. 30 7. -360 8. 81 9. -132 10. -9
11. -40 12. 3.9 13. 9.6 14. 7.2 15. 4.5
7.11 Two Step Equations from Verbal Models
Answers
1. 2x + 7 = 19 2. 3x + 5 = 20 3. 6x + 10 = 46
4. 2x – 7 = 21 5. 3x – 8 = 16 6. x/2 + 7 = 10
7. x/3 + 6 = 11 8. x/4 – 2 = 10 9. 4x + 8 = 20
10. 5x – 3 = 12 11. 2x + 7 = 29 12. 4x + 2 = 26
13. -3x – 4 = -10 14. -2x + 8 = -12 15. -5x – 8 = 17
7.12 Two – Step Equations and Properties of Equality
Answers
1. 4 2. 4 3. 3
4. 7 5. 7 6. 9
7. 4 8. 2 9. 6
10. 10 11. 9 12. 7
13. 7 14. 2m – 7 = 3, Monday = 5 shirts 15. 19 = 1/2r + 6, red = 26
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 39
7.13 Inequalities on a Number Line
Answers
1.
2.
3.
4.
5.
6.
7.
8.
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 40
9.
10.
11.
12.
13.
14.
15.
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 41
7.14 One – Step Inequalities
Answers
1. x < 6 2. x ≥ 10 3. b ≤ 10 4. a ≥ 21 5. y > 5
6. x ≤ 3 7. y > 3 8. x > 4 9. x = 20 10. x ≤ 30
11. x ≥ 1 12. y ≤ 2 13. a > 6 14. b < 15 15. x < 25
7.15 Domain and Range of a Function
Answers
1. No 2. Yes 3. Yes 4. No 5. No
6. {1, 2, 2, 3} 7. {2, 3, 4, 5} 8. {6, 7, 8} 9. {5} 10. {81, 75, 76, 77}
11. {3, 6, 5, 7} 12. {5, 6, 7, 8} 13. {1, 2, 3} 14. {2, 3, 4, 5} 15. {19, 18}
7.16 Input – Output Tables for Function Rules
Answers
1. (0, 2)(1, 9)(2, 16)(3, 23)(4, 30) 2. (0,-6)(6,0)(13,7)(22,16)
3. (8,3)(14, 6) 4. No
5. Yes 6. No
7. Yes 8. Yes
9. Yes 10. Yes
11 – 15 Answers Vary
7.17 Function Rules for Input-Output Tables
Answers
1. Add 2 each time 2. y = x + 2 3. Multiply by 2 4. y = 2x 5. Multiply by 2 and add 1
6. y = 2x + 1 7. 48, 60 8. Multiply by 12 9. y = 12x 10. 60
11. (0, 10)(1, 30)(2, 50)(3, 70)(4, 90)
12. {0, 1, 2, 3, 4}
13. Zero doesn’t make sense because it isn’t a row
14. Add 3
15. y = x + 3
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 42
7.18 Graphs of Linear Equations
Answers
1. y = x + 3
2. y = 2x
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 43
3. y = 3x
4. y = x – 2
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 44
5. y = x + 4
6. y = 7x
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 45
7. y = 2x + 1
8. y = 2x – 1
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 46
9. y = 3x – 1
10. y = 4x
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 47
7.19 Linear and Non – Linear Function Distribution
Answers
1. Non Linear 2. Linear 3. Non linear
4. Missing a table 5. Can’t answer – missing information
6. (-4, 2)(-2, 3)(0, 4)(2, 5)(4, 6)
7.
8. Linear
9. (-2, 6)(-1, 3)(0, 2)(1, 3)(2, 6)
10.
11. Non Linear
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 48
12. y = x + 1
13.
14. y = 2x – 2
15.
Chapter 7 – Equations, Inequalities and Functions Answer Key
CK-12 Middle School Math Concepts - Grade 7 49
7.20 Linear and Non – Linear Patterns of Change
Answers
1. Non-Linear 2. Linear 3. Linear 4. Linear 5. Non-Linear
6. Linear 7. Linear 8. Non-Linear 9. Linear 10. Non-Linear
11. y = 3x
12.
13. $9.00
14. (0, 10)(1, 8)(2, 6)(3, 4)
15.
16. $2.00
Chapter 8 – Geometry Answer Key
CK-12 Middle School Math Concepts - Grade 7 50
8.1 Angle Classification
Answers
1. Straight 2. Obtuse 3. Acute 4. Acute 5. Right
6. Obtuse 7. Right 8. Obtuse 9. Acute 10. Obtuse
11. Right 12. Straight 13. acute 14. Acute 15. Obtuse
8.2 Angle Pairs
Answers
1. Complementary 2. Complementary 3. Supplementary
4. Supplementary 5. Neither 6. Supplementary
7. Supplementary 8. Neither 9. Neither
10. Complementary 11. Neither 12. Neither
13. Complementary 14. Neither 15. Neither
8.3 Supplementary and Complementary Angle Pairs
Answers
1. 27° 2. 7° 3. 87° 4. 67° 5. 20°
6. 61° 7. 24° 8. 3° 9. 147° 10. 77°
11. 107° 12. 102° 13. 81° 14. 70° 15. 53°
8.4 Vertical Angles
Answers
1. Intersecting 2. Parallel 3. Intersecting 4. Perpendicular
5. Parallel 6. Perpendicular 7. Intersecting 8. Vertical
9. Adjacent 10. Adjacent 11. Vertical 12. Vertical
13. Adjacent 14. Vertical 15. Adjacent 16. 95°
17. 55° 18. 107° 19. 98° 20. 67°
Chapter 8 – Geometry Answer Key
CK-12 Middle School Math Concepts - Grade 7 51
8.5 Parallel and Perpendicular Lines
Answers
1. True 2. False 3. False 4. True 5. False
6. True 7. True 8. True 9. True 10. Intersecting
11. Intersecting 12. Parallel 13. Parallel 14. Intersecting 15. Parallel
8.6 Corresponding Angles
Answers
1. Angles next to each other
2. Angles opposite each other with the same measure
3. Lines that will never intersect
4. Lines that intersect at a 90 degree angle
5. An angle pair whose sum is 180°
6. An angle pair whose sum is 90°
7. Angles formed when two parallel lines are intersected
8. vertical
9. Angle P
10. Angle Q
11. True
12. False
13. False
14. 4
15. No
Chapter 8 – Geometry Answer Key
CK-12 Middle School Math Concepts - Grade 7 52
8.7 Triangle Sum Theorem
Answers
1. 90° 2. 60° 3. 75° 4. 35° 5. 65°
6. 15° 7. 30° 8. 10° 9. 25° 10. 80°
11. 60° 12. 55° 13. 85° 14. 95° 15. 50°
8.8 Triangle Classification
Answers
1. 80° 2. 72° 3. 55° 4. Obtuse 5. Acute
6. Acute 7. Right 8. Scale 9. Equilateral 10. Scalene
11. Isosceles 12. Obtuse 13. false 14. True 15. True
16. True 17. False 18. False 19. true 20. True
8.9 Quadrilateral Classification
Answers
1. Trapezoid 2. Parallelogram 3. Square
4. Rhombus 5. Rectangle 6. square
7. Parallelogram 8. Trapezoid 9. Rhombus
10. Quadrilateral 11. trapezoid 12. Square
13. Rectangle or square 14. Square or rhombus 15. rectangle
8.10 Polygon Classification
Answers
1. square, trapezoid
Angle F = 90°, Angle E = 90°, Angle G = 90°, Angle H = 55°, Angle I = 90°
2. True 3. True 4. True 5. False 6. False 7. True
8. Yes 9. No 10. No 11. No 12. Yes 13. No
14. Yes 15. Yes
Chapter 8 – Geometry Answer Key
CK-12 Middle School Math Concepts - Grade 7 53
8.11 Regular and Irregular Polygons
Answers
1. Trapezoid 2. Rectangle 3. Square 4. Square
5. square, trapezoid
Angle F = 90°, Angle E = 90°, Angle G = 90°, Angle H = 55°, Angle I = 90°
6. True 7. True 8. True
9. False 10. False 11. True
12. True 13. False 14. Regular hexagon
15. Irregular heptagon 16. Regular pentagon 17. Irregular octagon
8.12 Congruent Figures
Answers
1. Angle S
2. ST
3. Angle Q
4. 2 cm
5. 85°
6. 85°
7. True
8. No
9. Yes
10. No
11. No
12. No
13. Yes, congruent figures have the same measure
14. Congruent figures have the same size and shape
15. False
Chapter 8 – Geometry Answer Key
CK-12 Middle School Math Concepts - Grade 7 54
8.13 Similarity
Answers
1. Congruent
2. Similar
3. Similar
4. Neither
5. Congruent
6. Neither
7. True
8. False
9. False
10. Two equal ratios form a proportion
11. True
12. Similar figures have the same shape but different size
13. Congruent
14. Having exactly the same size, shape and measure
15. True
8.14 Scale Factor of Similar Polygons
Answers
1. 1/5 2. 1/6 3. 1/2.5 4. 1/3.5 5. 3/1
6. 4/1 7. ¼ 8. 2/1 9. 3/1 10. 8/1
11. 5/1 12. 6/1 13. 2/1 14. 3/1 15. 1/3
Chapter 8 – Geometry Answer Key
CK-12 Middle School Math Concepts - Grade 7 55
8.15 Unknown Measures of Similar Figures
Answers
1. 3 cm 2. 56 inches 3. 21 4. 3
5. 4/3 6. 8/1 7. 9/1 8. 24 cm
9. 19.5 in 10. 4500 ft 11. 9000 ft 12. 7500 ft
13. 2250 ft 14. 3750 ft 15. 5250 ft 16. 7500 ft
8.16 Rigid Transformations
Answers
1. Translation 2. Rotation 3. Translation 4. Reflection
5. Rotation 6. Translation 7. Reflection 8. Rotation
9. Line 10. Rotational 11. Line 12. Line
13 – 15 Answers Vary
8.17 Lines of Symmetry
Answers
1. False 2. True 3. False 4. True 5. True 6. False
7. True 8. True 9. Line 10. Rotational 11. Line 12. Line
13 – 15 Answers Vary
8.18 Transformation Classification
Answers
1. Translation 2. Rotation 3. Translation
4. Reflection 5. Rotation 6. Translation
7. Reflection 8. Translation 9. True
10. (5, 3)(7,7)(8,2) 11. (3,3)(7,7)(8, 2) 12. (6, 3)(7,7)(8, 2)
13. (10, -1)(7,7)(8, 2) 14. (11, 4)(7,7)(8, 2) 15. (10, 5)(7,7)(8, 2)
Chapter 8 – Geometry Answer Key
CK-12 Middle School Math Concepts - Grade 7 56
8.19 Translations, Rotations and Reflections
Answers
1. (-1, 5)(-5, 1)(-1, -3)
2. (3, 2)(-1, -2)(3, -6)
3. (-4, 2)(-10, -2)(-6, -6)
4. (-7, 2)(-11, -2)(-7,-6)
5. (1,1)(-3, -3)(1, -7)
6. (-2, 4)(-6, 0)(-2, -4)
7. (0, 5)(-4, 1)(0, -3)
8. (2, 1)(-2, 5)(-6, 1)
9. (1, -2)(5, 2)(1, 6)
10. (-1, -2)(-5, 2)(-1, 6)
11. (1, 2)(5, -2)(1, -6)
12. (2, 7)(-2, 3)(2, -1)
13. (-5, -4)(-11, -8)(-5, -12)
14. True
15. False
Chapter 9 – Distance and Area Answer Key
CK-12 Middle School Math Concepts - Grade 7 57
9.1 Evaluation of Square Roots
Answers
1. 4 2. 5 3. 1 4. 7 5. 12
6. 9 7. 13 8. 11 9. 10 10. 16
11. 3 and 4 12. 3 and 4 13. 5 and 6 14. 6 and 7 15. 7 and 8
16. 8 and 9 17. 8 and 9 18. 10 and 11 19. 2 and 3 20. 3 and 4
9.2 Evaluation of Perfect Square Roots
Answers
1. 6 2. 7 3. 8 4. 9 5. 10
6. 11 7. 12 8. 14 9. 20 10. 30
11. 100 12. 15 13. 16 14. 18 15. square roots are each a whole number
9.3 Simplification of Radical Expressions
Answers
1. 18 2. 25 3. 26 4. 120 5. 9
6. 35 7. 21 8. 24 9. 21 10. 23
11. 3 12. 47 13. 31 14. 9 15. 25
9.4 Equations with Square Roots
Answers
1. 3 2. 7 3. 10 4. 8 5. 15
6. 16 7. 3 8. 5 9. 6 10. 8
11. 9 12. 99 13. 6 14. 2 15. 3
Chapter 9 – Distance and Area Answer Key
CK-12 Middle School Math Concepts - Grade 7 58
9.5 Estimation of Square Roots
Answers
1. 2.8 2. 3.3 3. 4.9 4. 5.6 5. 6.1
6. 6.6 7. 7.7 8. 8.2 9. 8.5 10. 8.9
11. 9.7 12. 9.9 13. 10 14. 12.2 15. 11.7
9.6 Properties of Rational versus Irrational Numbers
Answers
1. Irrational 2. Rational 3. Rational 4. Rational 5. Irrational
6. Rational 7. Rational 8. Irrational 9. Irrational 10. Rational
11. Irrational 12. Rational 13. Irrational 14. Rational 15. Irrational
9.7 Pythagorean Theorem and Its Converse
Answers
1. 10 2. 15 3. 20 4. 25 5. 30
6. 40 7. 8.6 8. 14.2 9. 15.6 10. 14. 4
11. 13.6 12. 12.04 13. 16.55 14. 14.31 15. 14.42
9.8 Solving Equations Using the Pythagorean Theorem
Answers
1. 10.4 2. 12
3. 3 4. 15.6
5. 20 6. 6.6
7. 8.7 8. 7.5
9. 1.52 + 22 = c2 10. 2.5 m tall
11. 32 + 42 = c2 12. 5 miles
13. 5.52 + b2 = 14.52 14. 13.4 inches
Chapter 9 – Distance and Area Answer Key
CK-12 Middle School Math Concepts - Grade 7 59
9.9 Area of a Parallelogram
Answers
1. 45 sq. in. 2. 12 sq. in. 3. 72 sq. ft.
4. 88 sq. meters 5. 130 sq. yds. 6. 10 sq. ft.
7. 19.25 sq. in 8. 58.5 sq. ft. 9. 396 sq. miles
10. 348 sq. meters 11. 242 square meters 12. 585 sq. meters
13. 1000 sq. meters 14. 4,400 sq. meters 15. 1106 sq. meters
9.10 Unknown Dimensions of Parallelograms
Answers
1. 5 ft 2. 2.5 in. 3. 9 ft 4. 10 in. 5. 2.5 ft. 6. 12 in.
7. 18 ft. 8. 16 m 9. 2 in. 10. 5 miles 11. 6 in. 12. 2 meters
13. 15 ft. 14. 11 ft. 15. 11 ft. 16. 8 miles 17. 3 meters 18. 4 feet
9.11 Estimation of Parallelogram Area in Scale Drawings
Answers
1. 96 sq. ft. 2. 192 sq. ft. 3. 64 sq. ft.
4. 80 sq. ft. 5. 144 sq. ft. 6. 320 sq. ft.
7. 528 sq. ft. 8. 540 sq. ft. 9. 720 sq. ft.
10. 26 cm 11. 42 in. 12. 398.94 sq. cm
13. 2210 sq. ft. 14. Kara’s, 3.3 inches 15. 223 cm
9.12 Triangle Area
Answers
1. 18 in2 2. 9 in2 3. 14 in2 4. 31.5 m2 5. 60 ft2
6. 35 ft2 7. 91 ft2 8. 44 m2 9. 55.25 ft2 10. 51.75 m2
11. 135 m2 12. 162.75 ft2 13. 99 ft2 14. 158.88 m2 15. 440 ft2
Chapter 9 – Distance and Area Answer Key
CK-12 Middle School Math Concepts - Grade 7 60
9.13 Unknown Dimensions of Triangles
Answers
1. 3 m 2. 6 m 3. 3 m 4. 6 ft 5. 5 ft
6. 12 ft 7. 9 in 8. 18 in 9. 9 ft. 10. 6 in.
11. 10 in 12. 14 ft. 13. 18 in 14. 17 ft. 15. 13 in.
9.14 Area of Composite Shapes Involving Triangles
Answers
1. 66.5 sq. in. 2. 99 sq. in. 3. 126 sq. in.
4. 45 sq. ft. 5. 45 sq. ft 6. 120 sq. ft.
7. 102 sq. ft. 8. 150 sq. in. 9. 132.5 sq. in
10. 220.25 sq. in. 11. 82.5 sq. in 12. 24 cm
13. 13 in. 14. 432 sq. ft. 15. 16.5 sq. in.
9.15 Circle Circumference
Answers
1. 12.56 in. 2. 12.56 in. 3. 28.26 in.
4. 25.12 m 5. 75.36 in. 6. 37.68 mm
7. 87.92 mm 8. 40.82 ft. 9. 62.8 in
10. 23.55 ft. 11. 15.7 in 12. 35.17 ft.
13. 11.78 ft. 14. 14.13 ft. 15. 33.76 m
9.16 Diameter or Radius of a Circle Given Circumference
Answers
1. 5 ft 2. 6.5 in. 3. 7 m 4. 1.5 cm 5. 15 ft. 6. 7 in.
7. 2.5 m 8. 2.25 in. 9. 3.25 cm 10. 2 ft. 11. 102.05 m 12. 420.76 cm
13. 45.40 ft. 14. 55 inches 15. 100 cm 16. 6.5 ft. 17. 3548.2 m 18. 138.16 in.
Chapter 9 – Distance and Area Answer Key
CK-12 Middle School Math Concepts - Grade 7 61
9.17 Area of a Circle
Answers
1. 28.26 sq. in 2. 78.5 sq. in 3. 50.24 sq. ft.
4. 153.86 sq. m 5. 113.04 sq. cm 6. 38.47 sq. in
7. 200.96 sq. in 8. 153.86 sq. cm 9. 314 sq. in
10. 176.63 sq. m 11. 379.94 sq. cm 12. 452.16 sq. mm
13. 1808.64 sq. in. 14. 854.87 sq. in 15. 2082.02 sq. in
9.18 Radius or Diameter of a Circle Given Area
Answers
1. 2 in 2. 5 m 3. 8 cm 4. 9 in 5. 1.5 ft.
6. 3 m 7. 4 in 8. 10 m 9. 16 cm 10. 18 in
11. 3 ft 12. 6 m 13. 28 ft. 14. 15 m 15. 12 ft
9.19 Areas of Combined Figures Involving Circles
Answers
1. 168.49 sq. mm 2. 100.61 sq. in. 3. 73.19 sq. in.
4. 235.33 sq. ft. 5. 334.55 sq. ft. 6. 49.81 sq. ft.
7. 65.13 sq. ft. 8. 72.29 sq. in. 9. 47.23 sq. ft.
10. 24.06 sq. ft. 11. 19.81 sq. in 12. 40.23 sq. in.
13. 22.87 sq. in 14. 452.16 sq. ft. 15. 138,474 sq. ft.
Chapter 10 – Surface Area and Volume Answer Key
CK-12 Middle School Math Concepts - Grade 7 62
10.1 Classification of Solid Figures
Answers
1. Rectangular Prism 2. Hexagonal prism 3. Cone
4. Cylinder 5. Triangular pyramid 6. pentagonal prism
7. Cube 8. Sphere 9. Octagonal prism
10. Hexagonal prism 11. prism 12. Sphere
13. Cone 14. Pyramid 15. Prism
10.2 Faces, Edges and Vertices of Solids
Answers
1. 2 faces
2. 5 faces, 1 vertex, 8 edges
3. 1 face, 1 vertex
4. 6 vertices, 5 faces, 9 edges
5. 6 faces, 8 vertices, 12 edges
6. 8 faces, 12 vertices, 18 edges
7. 4 vertices, 4 faces, 6 edges
8. 7 faces, 10 vertices, 15 edges
9. 6 faces, 8 vertices, 12 edges
10. none
11. 16 vertices, 10 faces, 24 edges
12. 8 faces, 12 vertices, 18 edges
13. sphere
14. cylinder
15. 12
16. 8
17. 9
Chapter 10 – Surface Area and Volume Answer Key
CK-12 Middle School Math Concepts - Grade 7 63
10.3 Cross-Sections and Nets
Answers
1. Square pyramid 2. Rectangular prism
3. Pentagonal prism 4. Triangular pyramid
5. triangular prism 6. Cylinder
7. Cone 8. Cube
9. Cylinder 10. hexagonal prism
11 - 20 Answers will vary
10.4 Surface Area of Rectangular Prisms
Answers
1. 340 sq. in 2. 352 sq. in 3. 288 sq. m
4. 344 sq. in 5. 392 sq. m 6. 318 sq. ft.
7. 232 sq. m 8. 126 sq. ft. 9. 72 sq. ft.
10. 96 sq. ft. 11. 510 sq. ft. 12. 808 sq. ft.
13. 1392 sq. ft. 14. 1592 sq. m 15. 2082 sq. m
10.5 Surface Area of Triangular Prisms
Answers
1. cm 2. 15 cm 3. 4 cm
4. Rectangle 5. 4 cm x 3 cm 6. SA = 2(1/2bh) + 3lw
7. 192 cm2 8. 57 in2 9. 110 ft2
10. 45 in2 11. 150 m2 12. 510 ft2
13. 252 in2 14. 318 in2 15. 157 ft2
Chapter 10 – Surface Area and Volume Answer Key
CK-12 Middle School Math Concepts - Grade 7 64
10.6 Surface Area of Cylinders
Answers
1. 25.12 m2 2. 75.36 cm2 3. 602.88 in2
4. 251.2 in2 5. 471 in2 6. 703.36 ft2
7. 1570 m2 8. 1186.92 cm2 9. 527.52 m2
10. 62.8 cm2 11. 376.8 m2 12. 1036.2 in2
13. 602.88 cm2 14. 1356.48 m2 15. 2237.25 in2
10.7 Heights of Cylinders Given Surface Area
Answers
1. 2 in 2. 2 in 3. 1.5 in 4. 2 cm 5. 2.5 m
6. 4 cm 7. 3 cm 8. 1 m 9. 2 cm 10. 1.5 cm
11. 3 cm 12. 2 cm 13. 2 cm 14. 2 cm 15. 3 cm
10.8 Surface Area and Volume of Pyramids
Answers
1. 640 in2 2. 768 in2 3. 3,456 in2 4. 1,750 in2 5. 6,174 in2
6. 10,240 m2 7. 16,038 cm2 8. 34,606 m2 9. 3,888 in2 10. 24,000 cm2
11. 8,640 in2 12. 19,200 ft2 13. 144 in2 14. 59,136 m2 15. 45,000 in2
10.9 Surface Area and Volume of Cones
Answers
1. 113.04 in2 2. 188.4 m2 3. 84.78 cm2
4. 204.1 mm2 5. 452.16 in2 6. 863.5 cm2
7. 1055.04 in2 8. 104.495 cm2 9. 162.495 mm2
10. 263.76 cm2 11. 388.575 cm2 12. 690.8 cm2
13. 1708.16 cm2 14. 1347.06 cm2 15. 1654.78 cm2
Chapter 10 – Surface Area and Volume Answer Key
CK-12 Middle School Math Concepts - Grade 7 65
10.10 Volume of Rectangular Prisms
Answers
1. 60 in3 2. 210 m3 3. 288 cm3 4. 384 cm3 5. 300 ft3
6. 792 m3 7. 82.5 in3 8. 231 cm3 9. 168 ft3 10. 1200 m3
11. 462 m3 12. 1152 ft3 13. 1024 in3 14. 1728 m3 15. 864 in3
10.11 Volume of Triangular Prisms
Answers
1. 60 in3 2. 157.5 in3 3. 360 m3 4. 780 m3 5. 216 cm3
6. 252 cm3 7. 44 mm3 8. 396 cm3 9. 3230 ft3 10. 2700 ft3
11. 2754 ft3 12. 4788 ft3 13. 3528 ft3 14. 297,000 ft3 15. 440,000 ft3
10.12 Volume of Cylinders
Answers
1. 628 in3 2. 351.68 in3 3. 141.3 ft3
4. 226.08 ft3 5. 452.16 cm3 6. 1356.48 m3
7. 2154.04 in3 8. 785 m3 9. 138.16 m3
10. 339.12 cm3 11. 1243.44 cm3 12. 703.36 m3
13. 13,797.16 cm3 14. 2813.44 in3 15. 1049.15 cm3
10.13 Heights of Cylinders Given Volume
Answers
1. 8 in 2. 9 in 3. 15 ft. 4. 20 ft 5. 10 ft
6. 14 m 7. 16 m 8. 18 m 9. 25 in 10. 8 ft.
11. 5 in 12. 6 in 13. 9 m 14. 9 ft 15. 7 in
Chapter 10 – Surface Area and Volume Answer Key
CK-12 Middle School Math Concepts - Grade 7 66
10.14 Volume of Pyramids
Answers
1. 108 ft3 2. 213.33 m3 3. 524.33 in3 4. 378 ft3 5. 33.75 in3
6. 20 in3 7. 40 ft3 8. 84 m3 9. 20 in3 10. 84 ft3
11. 85.33 ft3 12. 40 in3 13. 26.54 ft3 14. 119.71 ft3 15. 60 ft3
10.15 Volume of Cones
Answers
1. 65.94 in3 2. 235.5 ft3 3. 376.8 m3
4. 1256 in3 5. 2110.08 mm3 6. 314 ft3
7. 148.37 in3 8. 70.52 in3 9. 666.73 cm3
10. 736.85 cm3 11. 647.63 in3 12. 2076.33 in3
13. 2453.13 ft3 14. 527.52 m3 15. 126.60 in3
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 67
11.1 Mean
Answers
1. 5 2. 7.2 3. 15.22 4. 22.38 5. 30
6. 36.57 7. 41.17 8. 126.56 9. 222.67 10. 545.17
11. 780.86 12. 348.67 13. 220.43 14. 1140.5 15. 2393.17
11.2 Median
Answers
1. 3 2. 13 3. 21 4. 18.5 5. 54
6. 3 7. 5 8. 12 9. 22.5 10. 30
11. 37 12. 43.5 13. 128 14. 223 15. 545.5
11.3 Mode
Answers
1. 7 2. 6 3. No mode 4. 121 5. 600
6. 4 7. 7 8. 11 9. 21 10. 33
11. 34 12. 43 13. 110 14. No mode 15. 550
11.4 Range of Spread/Dispersion
Answers
1. 34.71 2. 35 3. 40 4. 17
5. 157.2 6. 152.5 7. 200 8. 105
9. 25.6 10. 25 11. 25 12. 7
13. 8.9 14. 9 days 15. 9 days 16. 1 day
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 68
11.5 Bar Graphs
Answers
1. 5 2. 20 3. Carrots
4. Tomatoes or potatoes 5. 30 6. 10
7. 15 8. 35, it would be the most 9. 60,20,50,30,20
10. 15, 5, 12.5, 7.5, 5 11. 90 12. 5
13. 0 – 35 14. units of 5 15. 20
11.6 Multiple Bar Graphs
Answers
1. 13 2. 28 3. 4
4. Florida and Pennsylvania 5. NY 6. Answers vary
7. Television 8. Television or DVD player 9. Television
10. Video Camera 11. Game system 12. Video camera
13. 7 14. 3 15. True
11.7 Line Graphs
Answers
1. 100 2. 300 3. 200 vegetables 4. 300
5. 0, no charge 6. 400 vegetables 7. 300 vegetables 8. 700 vegetables
9. 350 vegetables 10. 500 vegetables 11. 200 vegetables 12. False 13. True
14 – 15 Answer Vary
11.8 Multiple Line Graphs
Answers
1. Answers vary 2. Seattle 3. Seattle
4. 2007 5. 2007 6. Seattle zoo
7. increase 8. Increase 9. 30,300 tickets
10. 34,700 11. Line graph 12. Answers vary
13. False 14. Multiple line graph 15. Answers vary
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 69
11.9 Stem-and-Leaf Plots
Answers
1. 2 2 5 7 9
3 1 4 4 9
4 0 4
2. 6 5
7 2
8 6 8 9
9 0 1 6
10 0 1
3. 0 4 6 6 7 8 9
1 1 2 5
2 0
4. 9.8
5. 7.5
6. 6
7. 16
8. 2 1 5 6 7 9 9
3 1 4 6 8 9
4 0
9. 31.25
10. 30
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 70
11. 29
12. 19
13. 1, 2, 3
14. 7th
15. 16 = 8th, 11 = 7th
16. 8th
17. 4, 5, 6
18. 49°
19. 40°
20. Seattle
21. 18
22. 16
23. 56° = Austin, 40° = Seattle
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 71
11.10 Box – and – Whisker Plots
Answers
1. 22 2. 15 3. 28 4. 12 5. 31
6.
26 27 29 30 32 35 41 42 44
7. 32
8. 28
9. 41.5
10. 26
11. 44
12.
100 105 107 109 110 120
13. 108 14. 105 15. 110 16. 100 17. 120
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 72
11.11 Frequency Tables to Organize and Display Data
Answers
1. 174 2. 5 days 3. 1 day
4. Days Frequency
0 15
1 13
2 30
3 21
4 35
5 60
5. 1 student
6. 175 total
7. Books Students
1 2
2 1
3 2
4
5 2
6 1
7 1
8 1
8. 4
9. 1, 3 or 5
10. Correct
11. Unorganized
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 73
12. 7
13. 4
14. 7
15. False
16. False
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 74
11.12 Histograms
Answers
1.
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
Series 1
Series 2
Series 3
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 75
2.
Number Frequency
2 1
3 1
4 1
5 4
6 1
7 3
8 2
9 2
10 1
11 1
12 1
13 0
14 1
15 1
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 76
3.
4.
Number Frequency
3 3
4 1
5 1
7 1
8 1
9 2
10 1
11 1
12 1
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
2 3 4 5 6 7 8 9 10 11 12 13 14 15
Series 1
Column1
Column2
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 77
5.
6. The number three is the most popular and the number 6 is not even represented in the data.
7 – 10. Answers Vary
11.
Number Frequency
1 5
2 2
3 5
4 1
5 1
6 1
12. 1 and 3
13. 4, 5, 6
14. 5
15. 2, 5
0
0.5
1
1.5
2
2.5
3
3.5
3 4 5 6 7 8 9 10 11 12
Series 1
Series 2
Series 3
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 78
11.13 Identification of Misleading Statistics
Answers
1. yes 2. Intervals aren’t consistent 3. Even out the intervals by using the same measures
4.
0
0.5
1
1.5
2
2.5
3
3.5
4
6th 7th 8th 9th 10th 11th 12th
Tim
e
Grade
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 79
5. ONE POSSIBLE ANSWER
6. 4 hours 7. 1.5 hours 8. True
1
3
5
7
9
11
13
15
6th 7th 8th 9th 10th 11th 12th
Tim
e
Grade
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 80
9.
10. ONE POSSIBLE ANSWER
11. New Jersey 12. No, because the purpose is to compare states that have sales tax.
0
1
2
3
4
5
6
7
8
Alaska Alabama Arizona California New Jersey
Sale
s Ta
x R
ate
(%
)
State
3
3.5
4
4.5
5
5.5
6
6.5
7
7.5
Alaska Alabama Arizona California New Jersey
Sale
s Ta
x R
ate
(%
)
State
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 81
13. ONE POSSIBLE ANSWER
14.
47
49
51
53
55
57
59
61
63
65
1 2 3 4 5 6 7 8 9 10
Tem
pe
ratu
re
Days
0
10
20
30
40
50
60
70
1 2 3 4 5 6 7 8 9 10
Tem
pe
ratu
re
Days
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 82
15. 64
16. 49
17 – 20. Answers may vary
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 83
11.14 Data Display Choices
Answers
1. False 2. True 3. #1 4. $28,000
5. $31,000 6. #1 7. $28,000 8. Box and Whisker Plot
9.
36 42 45 48 49 50 56 58 59 62
10.
0
2
4
6
8
10
12
14
16
18
1 2 3 4 5 6
Series 1
Series 2
Series 3
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 84
11.
12. Number Frequency
5 1
8 1
10 2
12 1
15 2
18 2
20 1
23 1
25 2
27 1
30 1
0
2
4
6
8
10
12
14
16
18
1 2 3 4 5 6 7 8 9 10
Series 1
Series 2
Series 3
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 85
13.
30 should have a bar to the number 1. It wouldn’t fit on this chart.
14.
5 8 10 10 12 15 15 18 18 20 23 25 25 27 30
15.
3 .5 .6 .6 .8
4 .1 .2 .3 .5 .6
5 .1
0
0.5
1
1.5
2
2.5
5 8 10 12 15 18 20 23 25 27 30
Series 1
Series 2
Series 3
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 86
16.
0
1
2
3
4
5
6
1 2 3
Series 1
Series 2
Series 3
Series 4
Series 5
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 87
11.15 Displaying by Type of Data
Answers
1.
2. 85% 3. 32% 4. 65% 5. 46% 6. Waikiki 7. Denver
8. Frequency Table
9. 0 4
1 3
2 7
3 6
4 4
5 4
6 2
10. 23%
11. 10%
0
10
20
30
40
50
60
70
80
90
100
Series 1
Series 2
Series 3
Chapter 11 – Data and Statistics Answer Key
CK-12 Middle School Math Concepts - Grade 7 88
12. 3
13. 4
14. 3%
15. 4%
16 – 20 Answers will vary
Chapter 12 – Probability Answer Key
CK-12 Middle School Math Concepts - Grade 7 89
12.1 Definition of Probability
Answers
1. 4 2. One favorable outcome 3. 1/6
4. 3, 4, 5,6 5. 4 favorable outcomes 6. 4/6
7. 5, 6 8. Two favorable outcomes 9. 2/6
10. 2, 4, 6, 8, 10, 12 11. 6 favorable outcomes 12. 6:12
13. 4, 5, 6, 7, 8, 9, 10, 11, 12 14. 9 favorable outcomes 15. 9:12
16. 5 17. 5/15 18. 9 19. 9:15 20. 6
21. 6:15 22. 6 23. 6:15 24. 2 25. 2:15
12.2 Measurement of Probability
Answers
1. 9 2. One favorable outcome 3. 1:10 4. 10%
5. 3, 4 6. Two favorable outcomes 7. 10 8. 20%
9. 1, 3, 5, 7, 9 10. 5 favorable outcomes 11. 10 12. 50%
13. 6, 8, 10 14. 3 15. 10 16. 30%
17. 33.3% 18. 50% 19. 50% 20. 83.3%
12.3 Empirical Probability
Answers
1. 17 2. 60 3. 28% 4. 24 5. 50
6. 48% 7. 78 8. 100 9. 78% 10. 8
11. 40 12. 20% 13. 16 14. 50 15. 32%
Chapter 12 – Probability Answer Key
CK-12 Middle School Math Concepts - Grade 7 90
12.4 Mutually Exclusive Events
Answers
1. Overlapping 2. Disjoint 3. Disjoint
4. Overlapping 5. Disjoint 6. disjoint
7. Disjoint 8. Overlapping 9. Overlapping
10. Disjoint 11. overlapping 12. Overlapping
13. Disjoint 14. Overlapping 15. overlapping
12.5 Mutually Inclusive Events
Answers
1. 1:8 2. 3:8 3. 2:8 4. 2:8 5. 5:8
6. 2:8 7. 6:12 8. 6:12 9. 1:12 10. 1:12
11. 3:12 or 1:4 12. 6:12 13. 4:12 or 1:3 14. 5:12 15. 1:12
12.6 Complement Rule for Probability
Answers
1. .85 2. .2 3. 51%
4. 5/8 5. .93 6. .875
7. 3.9% 8. 4/5 9. Complement
10. Complement 11. Not a Complement 12 Not a Complement
13. Complement 14. Not a Complement 15. Not a complement
12.7 Counting Events
Answers
1. 6 2. 9 3. 12 options 4. 8 5. 18
6. 12 7. 36 8. 6 9. 8 10. 8
11. 10 12. 15 13. 18 14. 10 15. 14
Chapter 12 – Probability Answer Key
CK-12 Middle School Math Concepts - Grade 7 91
12.8 Sample Spaces and Events
Answers
1. 6
2. 2
3. HT TT HH TH
4. HHH TTH TTT HTT HTH THH THT HHT
5. 3
6. 3
7. 4
8. 8
9. 12
10. 5
11. 0
12. 4
13. 4
14. True
15. False
12.9 Additive and Multiplicative Rules for Probability
Answers
1. 1/3 2. 1/3 3. 1/3 4. 1/3 5. 1/3
6. 2/3 7. 3/50 8. ½ 9. ¼ 10. ¼
11. 1/12 12. 1/6 13. ½ 14. ¾ 15. 2/3
Chapter 12 – Probability Answer Key
CK-12 Middle School Math Concepts - Grade 7 92
12.10 Basic Counting Rules
Answers
1. 6 2. 8 3. 96 4. 18 5. 8
6. 54 7. 6 8. 104 9. 84 10. 52
11. 30 12. 15 13. 10 14. 20 15. 25
12.11 Counting Rule to Calculate Probabilities
Answers
1. ¾ 2. 3/8 3. ¼ 4. ¼ 5. ¼
6. ¼ 7. 1/6 8. 1/6 9. 1/6 10. 1/6
11. 1/6 12. ½ 13. ½ 14. 1/3 15. 1/3
12.12 Permutations
Answers
1. Order doesn’t matter – passwords 2. Order doesn’t matter because it is trios.
3. order does matter – combination locks 4. Order does matter – prizes are given out
5. Order doesn’t matter 6. Order does matter – awards given out
7. 6 8. 24 9. 24
10. 24 11. 24 12. 120
13. 720 14. 18,060 15. 40,320 – it more than doubles
12.13 Permutation Problems
Answers
1. 6 2. 24 3. 12 4. 60
5. 120 6. 720 7. 210 8. 840
9. 120 10. 6 11. 720 12. 24
13. 12 14. 24 15. 120 16. 120
Chapter 12 – Probability Answer Key
CK-12 Middle School Math Concepts - Grade 7 93
12.14 Combinations
Answers
1. Combination 2. Combination 3. Combination
4. Permutation 5. Combination 6. Permutation
7. Combination 8. Permutation 9. Combination
10. Permutation 11. Combination 12. Combination
13. Permutation 14. Combination 15. Combination
12.15 Combination Problems
Answers
1. 120 2. 24 3. 6 4. 144,480 5. 362,880
6. 720 7. 21 8. 7 9. 70 10. 84
11. 56 12. 120 13. 220 14. 55 15. 120
12.16 Independent Events
Answers
1. Independent 2. Dependent 3. Independent
4. Independent 5. Independent 6. Dependent
7. Independent 8. Dependent 9. independent
10. Dependent 11. Dependent 12. Dependent
13. independent 14. Independent 15. Independent
Chapter 12 – Probability Answer Key
CK-12 Middle School Math Concepts - Grade 7 94
12.17 Probability of Independent Events
Answers
1. 1/9 2. 1/9 3. 2/9 4. 4/9 5. .64
6. .04 7. .16 8. 8/104 9. 3/13 10. 8/104
11. 1/8 12. 1/16 13. 1/16 14. 1/32 15. 1/32
12.18 Dependent Events
Answers
1. ¼ 2. 3/8 3. ¼ 4. 1/4 5. 3/8
6. 1/56 7. 3/8 8. ¼ 9. 0/8 10. 3/8
11. 2/3 12. 1/5 13. 1/5 14. 3/10 15. 1/20