8_S1C2PO3_percent Increase & Rational Irrational

8th Grade Math - Clashman Name (First & Last)M08-S1C1-02M08-S1C1-03 M08-S1C2-03 Date

Standard: S1C2 UNDERSTAND AND APPLY NUMERICAL OPERATIONS AND THEIR RELATIONSHIP TO ONE ANOTHER.

Objective: M08-S1C2-03. Solve problems involving percent increase, percent decrease, and simple interest rates.

DIRECTIONS: Select one of the choices provided and write it on the line next to the corresponding number. You MUST show work for credit. (16 points)

1) George had $4,500 in a savings account earning simple interest at a rate of 2.5% per year. At the end of the year, George paid 25% in taxes on his interest. How muchmoney did George earn in interest that year after paying taxes? (2 points)

A $33.75

B $84.38

C $105.00

D $135.00

E None of the above

2) Russell borrowed $150 at 12% interest for 2 years. If Russell makes no payments, how much simple interest will he owe at the end of two years? (2 points)

A $1.80

B $3.60

C $18.00

D $36.00

E None of the above

3) Jessica has an account with a credit union. Her account earns 2.1% simple interest yearly. Exactly a year and a half ago, she opened her account with $900.How much interest has she earned so far? (2 points)

A $2,835.00

B $1,890.00

C $28.35

D $37.80

E None of the above

4) Calculate the percent decrease:63,000 54,810 (2 points)

A 13% decrease

B 47% decrease

C 87% decrease

D 53% decrease

E None of the above

5) Ike opened a savings account with a deposit of $6,000. Three years later, he had earned a total of $540 in simple interest. If he made no additional deposits, what was the interest rate on his account? (2 points)

A 3%

B 0.03 %

C 6 %

D 0.3 %

E None of the above

6) An item is priced at $13.38. If the sales tax is 4%, what does the item cost including sales tax? (2 points)

A $13.42

B $13.92

C $17.38

D $15.42

E None of the above

7) Gia opened two savings accounts at two different banks. One account earns an annual 3.4% simple interest, and the other earns half as much. If she deposited $500 in each account, how much total interest will she have earned in 5 years? (2 points)

A $63.75

B $85.00

C $1,275.00

D $127.50

E None of the above

8) Calculate the percent increase:4 11 (2 points)

A 27.5% increase

B 70% increase

C 17.5% increase

D 175% increase

E None of the above

S1C2-03 Score Key – Total Points

16 - 15 = Exceeds 14 - 13 = Meets 12 - 11 = Approaches <11 = Falls Far Below

Standard: S1C1 UNDERSTAND AND APPLY NUMBERS, WAYS OF REPRESENTING NUMBERS, AND THE RELATIONSHIPS AMONG NUMBERS AND DIFFERENT NUMBER SYSTEMS.

Objective: M08-S1C1-03. Model the relationship between the subsets of the real number system.

DIRECTIONS: Consider whether the statements below are True or False. In the corresponding box indicate a T for TRUE or an F for FALSE. (5 points)

6) -5 is a natural number and an integer. True/False (1 point)

7) 1.25 is an integer, but not a whole number. True/False (1 point)

8) -1 is an integer True/False (1 point)

9) 50 is a natural number, a whole number, and an integer. True/False (1 point)

10) -3 is NOT a natural number True/False (1 point)


5 = Exceeds 4 = Meets 3 = Approaches <3 = Falls Far Below

Match the vocabulary term with its location on the Venn diagram. Write the letter in the corresponding box. Each response will be used only once. (5 points)

11) Integers (1 point)

12) Irrational (1 point)

13) Natural (1 point)

14) Real (1 point)

15) Whole (1 point)



B

A

F CDE

Standard: S1C1 UNDERSTAND AND APPLY NUMBERS, WAYS OF REPRESENTING NUMBERS, AND THE RELATIONSHIPS AMONG NUMBERS AND DIFFERENT NUMBER SYSTEMS.

Objective: M08-S1C1-02. Classify real numbers as rational or irrational.

DIRECTIONS: Consider whether the statements below are True or False. In the corresponding box indicate a T for TRUE or an F for FALSE. (5 points)

11) ALL decimals are rational numbers True/False (1 point)

12) /2 belongs to the rational subset True/False (1 point)

13) ALL the numbers in the set {4, 16, 81} are rational numbers True/False (1 point)

14) 0 is a natural number True/False (1 point)

15) The set of real numbers can be broken up into two disjoint subsets, rational and irrational.

True/False (1 point)



DIRECTIONS: Select one of the choices provided and write it on the line next to the corresponding number. (20 points)

1) Which of the following is an irrational number? (2 points)

A 5.443B -3.21C 3.4562 x 103

D 3

2) Which of the following is an irrational number? (2 points)

A 2B 4C 16D 25

3) What type of number is the following? (2 points)QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.

A an irrational numberB a rational numberC a whole numberD an integer

4) What type of number is the following? (2 points)QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.

A an irrational numberB a rational numberC a whole numberD an integer

5) Which set includes ONLY irrational numbers? (2 points)

A {-0.4, 25, ¾}B {21, 0.5656565656…, 121}C {4.2497…, , 3, }D {18/31, 2.5, 1}

6) Which set includes ONLY rational numbers? (2 points)

AQuickTime™ and a

TIFF (Uncompressed) decompressorare needed to see this picture.

BQuickTime™ and a


CQuickTime™ and a


DQuickTime™ and a


7) Which of the following groups listed below are subsets of the Irrational Numbers? (2 points)

I. Real NumbersII. Natural Numbers

III. IntegersIV. Rational Numbers

V. Whole NumbersA III only B None of the subsets listed are subsets of the Irrational Numbers.C II, III, IV, and V only D All of the subsets listed are subsets of the Irrational Numbers.

8) The numbers below belong to which of the following subsets of the real number system? {5, 6, 18, 25, 30, 39, 50} (2 points)

I. Irrational NumbersII. Integers

III. Whole NumbersIV. Natural Numbers

V. Rational NumbersA III and IV only B II only C II, III, and IV only D II, III, IV, and V only

9)The numbers below belong to which of the following subsets of the real number system?

{-23/8, -15/8, -1, -3/8, 1/2, 1, 11/8} (2 points)I. Whole Numbers

II. Irrational NumbersIII. Rational NumbersIV. Integers

V. Natural NumbersA II only B II and III only C III only D II, III and V only

10)The numbers shown below belong to which of the following subsets of the real numbers? {0, 9, 14, 17, 24, 36, 37} (2points)

I. Rational NumbersII. Whole Numbers

III. Natural NumbersIV. Irrational Numbers

V. IntegersA II only B II, III, and V only C I, II, and V only D I, II, III, and V only


20-18 = Exceeds 17-16 = Meets 15-13 = Approaches<13 = Falls Far Below

Match the vocabulary terms to the appropriate number set. Write the letter in the corresponding box. Each response will be used only once. (5 points)

16) Integers (1 point) A) {2, 16, 81, }

17) Irrational (1 point) B) {, 8, 7.35268503…, 8}

18) Natural (1 point) C) {1/2, ¾, 4.56, 5, -7, 0, 6.878787, 81}

19) Rational (1 point) D) {…-3, -2, -1, 0, 1, 2, 3…}

20) Whole (1 point) E) {0, 1, 2, 3…}

F) {1, 2, 3…}



Standard: S1C3 USE ESTIMATION STRATEGIES REASONABLY AND FLUENTLY WHILE INTEGRATING CONTENT FROM EACH OF THE OTHER STRANDS.

Objective: M08-S1C3-02. Estimate the location of rational and common irrational numbers on a number line.

DIRECTIONS: Select one of the choices provided and write it on the line next to the corresponding number. You MUST show work for credit. (20 points)

1)

QuickTime™ and aTIFF (Uncompressed) decompressor

are needed to see this picture.

(2 points)ABCD

2) At what position on the number line is the red dot located? (2 points)

QuickTime™ and aTIFF (Uncompressed) decompressor

are needed to see this picture.

(2 points)WXYZ

3) At what position on the number line is the dot located? (2 points)

A 7B 12C 18D 6


A 29B 49C 78D 39


A 14B 1C 11D 7



Match the dots on the number line with the appropriate location by indicating the appropriate letter in the corresponding box. Each response will be used only once. (1 point each / 5 points)

6) A) 2 F) 35

7) B) 3 G) 28

8) C) 11 H) 22

9) D) 37 I) 17

10) E) 47 J) 15



ASSESSMENT SCORE OVERALL

40-36 = Exceeds 35-32= Meets 31-26 = Approaches <26 = Falls Far Below

8_S1C2PO3_percent Increase & Rational Irrational

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