Powers and Exponents

Show your work on this page. No Calculators.Write each expression using exponents.1) 7 • 7 • 7 • 6 • 6 • 6 • 6 2) 2 • 2 • 5 • 5 • 9 • 9 3) 10 • 10 • 8 • 8

Evaluate each expression.

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Variables, Expressions and Equations

Show all work on the following page. No Calculators.Evaluate each expression.

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4) 105 5) 25 6) 72 7) 33 • 42

8) 19 • 53 9) 1002 • 62 10) 122 11) 24 • 16

12) 503 13) 72 • 72 14) 42 • 32 • 22 15) 91 • 92

1) (42 + 4) ÷ 4 2) 56÷ [ (5−3 )×4 ] 3) 52 × 4 ÷ 10

4) 15 – 2 × 4 – (6 – 3) 5) [1 +(5 – 2)2] × 6 6) (4 ×5)2

Evaluate each expressions if m = 4, n = 3, and p = 2.7) 7m – 3p 8) mn – p 9) 2p + p2

10) 5m – 4n + p 11) (m – p)n 12) 5p + m

Find the solution for each equation from the given replacement set.13) k + 23 = 45, {21, 22, 23} 14) 55 – d = 17, {36, 37, 38}

15) 2p = $19.80, {$9.00, $9.45, $9.90} 16) p33 = 15, {485, 495, 505}

Variables, Expressions and EquationsEvaluate each expression.1) (42 + 4) ÷ 4 2) 56÷ [ (5−3 )×4 ] 3) 52 × 4 ÷ 10

4) 15 – 2 × 4 – (6 – 3) 5) [1 +(5 – 2)2] × 6 6) (4 ×5)2

Evaluate each expressions if m = 4, n = 3, and p = 2.7) 7m – 3p 8) mn – p 9) 2p + p2

10) 5m – 4n + p 11) (m – p)n 12) 5p + m

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Find the solution for each equation from the given replacement set.13) k + 23 = 45, {21, 22, 23} 14) 55 – d = 17, {36, 37, 38}

15) 2p = $19.80, {$9.00, $9.45, $9.90} 16) p33 = 15, {485, 495, 505}

Solving Addition and Subtraction Equations

Show all work on the following page. No Calculators.

Solve each equation. Check your solution.1) d + 22 = 60 2) s – 46 = 12 3) t - 71 = 20

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4) 1.5 + r = 3 5) g - $2.25 = $1.25 6) x + 140 = 300

7) $5.60 + h = $7.00 8) e – 405 = 325 9) 808 = p + 500

10) 4.09 = 2 + y 11) 11.3 = b – 3.7 12) r – 2.2 = 6

Solving Addition and Subtraction EquationsSolve each equation. Check your solution.1) d + 22 = 60 2) s – 46 = 12 3) t - 71 = 20

4) 1.5 + r = 3 5) g - $2.25 = $1.25 6) x + 140 = 300

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7) $5.60 + h = $7.00 8) e – 405 = 325 9) 808 = p + 500

10) 4.09 = 2 + y 11) 11.3 = b – 3.7 12) r – 2.2 = 6

Solving Multiplication and Division Equations

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Show all work on the following page. No Calculators.Solve each equation. Check your solution.1) 14k = 84 2) b6 = 12 3) 99 = 3e

4) 15 = d75) $5.00 = 4w 6) 9t = 729

7) 3 = m228) 0.5p = 3 9) 2.7 = 0.9r

10) The product of 7 and a number w is 91. Find the number.

Solving Multiplication and Division EquationsSolve each equation. Check your solution.1) 14k = 84 2) b6 = 12 3) 99 = 3e

4) 15 = d75) $5.00 = 4w 6) 9t = 729

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7) 3 = m228) 0.5p = 3 9) 2.7 = 0.9r

10) The product of 7 and a number w is 91. Find the number.

Greatest Common Factor

Show your work on the following page. No Calculators.

Find the GCF of each set of numbers.

Least Common Multiple8

1) 18, 30 2) 36, 90 3) 15, 17

4) 63, 42 5) 36, 12, 72 6) 30, 45, 75

Show your work on the following page. No Calculators.

Find the LCM of each set of numbers.

Greatest Common FactorFind the GCF of each set of numbers.

Least Common MultipleFind the LCM of each set of numbers.

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1) 16, 12 2) 6, 10 3) 15, 20

4) 4, 10, 8 5) 30, 21, 7 6) 8, 14, 28

1) 18, 30 2) 36, 90 3) 15, 17

4) 63, 42 5) 36, 12, 72 6) 30, 45, 75

Ratios and Rates

Show your work on the following page. No Calculators.

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1) 16, 12 2) 6, 10 3) 15, 20

4) 4, 10, 8 5) 30, 21, 7 6) 8, 14, 28

1) 12 wins:15 games 2) 8 out of 20 cars 3) 65 to 10

4) 8 out of 10 people 5) 90 men:144 women 6) 81 to 36

7) 180 tickets:60 tickets 8) 4 feet:1 yard 9) 3 out of 24

Express each ratio or rate in simplest form.

Express each rate as a unit rate.10) $45 for 9 hours 11) 280 kilometers in 5 hours

12) $330 for 3 days 13) 432 beats in 6 minutes

14) 77 pounds in 11 weeks 15) 480 miles in 12 hours

Ratios and Rates1) 12 wins:15 games 2) 8 out of 20 cars 3) 65 to 10

4) 8 out of 10 people 5) 90 men:144 women 6) 81 to 36

7) 180 tickets:60 tickets 8) 4 feet:1 yard 9) 3 out of 24

Express each ratio or rate in simplest form.

Express each rate as a unit rate.

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10) $45 for 9 hours 11) 280 kilometers in 5 hours

12) $330 for 3 days 13) 432 beats in 6 minutes

14) 77 pounds in 11 weeks 15) 480 miles in 12 hours

Ratios and Percents

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Show all work on the following page. No Calculators.Evaluate each ratio or fraction as a percent.

1) 14502) 49 out of 98 3) 91 hundredths

4) 16 out of 25 5) 72 12 out of 100 6) $18 per $40

Express each percent as a fraction in simplest form.7) 20% 8) 24% 9) 35%

10) 47% 11) 48% 12) 70%

Ratios and PercentsEvaluate each ratio or fraction as a percent.

1) 14502) 49 out of 98 3) 91 hundredths

4) 16 out of 25 5) 72 12 out of 100 6) $18 per $40

Express each percent as a fraction in simplest form.

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7) 20% 8) 24% 9) 35%

10) 47% 11) 48% 12) 70%

Fractions, Decimals, and Percents

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Show your work on this page. No Calculators.1) 45% 2) 91% 3) 24.5% 4) 8.37%

Express each percent as a decimal.5) 0.13 6) 0.06 7) 0.765 8) 0.0122

Express each decimal as a percent.

9) 1150 10) 1320 11) 18 12) 4331,000

Express each fraction as a percent.Solving Inequalities

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Show all work on this pageSolve each inequality. Graph the solution on a number line.1) y + 7 < 12

2) t – 1 > 4

3) m – 3 ≤ 8

4) 6w ≥ 18

5) 2h < 14

6) e2 > 3

Writing Expressions and Equations16

Show all work on this page.Write each phrase as an algebraic expression.

1) 12 more than a number

2) the quotient of a number divided by 9

3) 4 times a number

4) 15 less than a number

5) 1 less than the product of 3 and m

6) The product of 4 times a number minus 8

Write each sentence as an algebraic equation.

7) A number minus 6 equals 12.

8) A number plus 14 equals 25.

9) 3 more than 5 times the number of dogs is 18 dogs

10) 4 times the number of cows plus 2 times the number of ducks is 20.

11) 2 less than the quotient of 12 divided by a number is 2.

12) The product of 5 and y added to 3 is 33.

Multiplying Decimals17

Show all work on this page. No Calculators.Multiply.1) 0.5 x 20.2 2) 12. x 2.3 3) 0.055 x 3.2

4) 0.014 x 0.4 5) 12.4 x 12. 4 6) 3.07 x 1.07

Evaluate each expression if m = 0.09, n = 1.2, and p = 8.19.7) mn 8) p(n + m) 9) pm

Dividing Decimals18

Show all work on the following page. No Calculators.Find each quotient.

1) 2.7 40.5 2) 2.1 4.41 3) 0.212

1.696

4) 62.8

87.92

5) 8.652 ÷ 1.2 6) 17.6 ÷ 3.2

Zeros in the Quotient

Show all work on the following page. No Calculators.Find each quotient to the nearest hundredth.

1) 14 1.26 2) 7 28.35

3) 19.065 ÷ 9.3 4) 72.76 ÷ 6.8

Dividing Decimals19

Find each quotient.

1) 2.7 40.5 2) 2.1 4.41 3) 0.212

1.696

4) 62.8

87.92

5) 8.652 ÷ 1.2

6) 17.6 ÷ 3.2

Zeros in the QuotientFind each quotient to the nearest hundredth.

1) 14 1.26 2) 7 28.35

3) 19.065 ÷ 9.3 4) 72.76 ÷ 6.8

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Adding & Subtracting Fractions - Unlike Denominators

Show all work on this page. No Calculators.Add or subtract. Write each answer in simplest form.

1) 16+12 2) 23−

12 3) 45 + 1

12

21

4) 1115−13 5) 310+

45 6) 45−1

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Adding and Subtracting Mixed Numbers

Show all work on this page. No Calculators.Add or subtract. Write each answer in simplest form.

1) 10 12 +4 18 2) 12 56−3

13 3) 7 110+2

15

22

4) 9 12−516 5) 5 34 +2 5

8 6) 9 34−2 16

Multiplying Fractions

Show all work on the following page. No Calculators.Find each product. Write each answer in simplest form.

1) 13×15 2) 58×

12 3) 49 ×

34

4) 6× 23 5) 35×10 6) 23×38

Multiplying Mixed Numbers

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Show all work on the following page. No Calculators.Find each product. Write each answer in simplest form.

1) 23×312 2) 5 34 ×

23 3) 9 ×1 56 4) 2 49×

411

5) 1 45×35 6) 2 12×1

15 7) 18×1

13 6) 8 ×1 14

Multiplying FractionsFind each product. Write each answer in simplest form.

1) 13×15 2) 58×

12 3) 49 ×

34

4) 6× 23 5) 35×10 6) 23×38

Multiplying Mixed NumbersFind each product. Write each answer in simplest form.

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1) 23×312 2) 5 34 ×

23 3) 9 ×1 56 4) 2 49×

411

5) 1 45×35 6) 2 12×1

15 7) 18×1

13 6) 8 ×1 14

Dividing Fractions

Show all work on the following page. No Calculators.Find each quotient. Write each answer in simplest form.

1) 12 ÷34 2) 45 ÷

110 3) 38 ÷

34 4) 79 ÷

13

5) 1415 ÷7 6) 512 ÷56 7) 910 ÷3 6) 1213 ÷

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Dividing Mixed Numbers

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Show all work on the following page. No Calculators.Find each quotient. Write each answer in simplest form.

1) 2 12 ÷45 2) 1 23 ÷1

14 3) 5 ÷1 37

4) 2 13 ÷79 5) 5 25 ÷

910 6) 7 12 ÷1

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Dividing FractionsFind each quotient. Write each answer in simplest form.

1) 12 ÷34 2) 45 ÷

110 3) 38 ÷

34 4) 79 ÷

13

5) 1415 ÷7 6) 512 ÷56 7) 910 ÷3 6) 1213 ÷

14

Dividing Mixed NumbersFind each quotient. Write each answer in simplest form.

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1) 2 12 ÷45 2) 1 23 ÷1

14 3) 5 ÷1 37

4) 2 13 ÷79 5) 5 25 ÷

910 6) 7 12 ÷1

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Adding and Subtracting Fractions Word Problems

Show all work on this page. No Calculators. Write your answers in simplest form.

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1) Adam bought a box of fruit that weighed 6 34 kilograms. If he bought a second box that weighed 7 13kilograms, what is the combined weight of both boxes?

2) Emily walked a total of 9 34 miles in two days. Emily walked 3 16 miles on the first day, how far did she walk the second day?

3) A recipe called for 5 12 cups of flour before baking and another 6 23 cups of flour after baking. What is the total amount of flour needed in the recipe?

4) Haley’s class recycled 11 23 boxes of paper in two months. If they recycled 5 14 boxes the first month, how many boxes did they recycle in the second month?

Multiplying Fractions Word ProblemsShow all work on this page. No Calculators. Write your answers in

simplest form.

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1) A jumbo bag of M&M’s weighs 315 pounds. If I have 4 jumbo bags of M&M’s, how much would their total weight be?

2) A batch of cookies requires 223 cups of sugar. Phyllis needs to make 412 batches of cookies for the bake sale. How much sugar does Phyllis need?

3) The area of a rectangle can be found by multiplying the length times the width. Find the area of a rectangle that has a length of 5 34 inches and a width of 723 .

4) Adam had a lump of Silly Putty that was 456 inches long. If he stretched it out to 223 times its current length, how long would it be?

Dividing Fractions Word ProblemsShow all work on this page. No Calculators. Write your answers in

simplest form.

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1) 1) At the end Sarah’s birthday dinner, she had

2) 23 of her cake left over. Her 5 friends each

3) took home the same amount of leftover

4) cake. How much cake did each friend take

5) home?

2) How many 34 cup servings of ice cream can Juan get from 6 cups of ice cream?

6) 3) There are 3 12 pizzas. Each child will

get 14 7) of a pizza. How many children will

get 8) pizza?

9) 4) Stan has 3 34 pounds of M&M’s and he gives 18 pound to each friend. How many friends will get M&M’s ?

Using Rates Word ProblemsShow all work on this page. No Calculators. Write your answers in

simplest form.

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1) We paid $40 for 8 hamburgers. How much did we pay per hamburger?

2) A machine makes 9 pencils in 3 seconds. What is the rate of pencils per second?

3) For every 4 miles Vanessa jogged, Cody jogged 3 miles. If Vanessa jogged 1 mile, how far would Cody have jogged?

4) Amelia uses 8 cups of chocolate chips to make 4 batches of cookies. What is the rate of bags of chocolate chips per batch?

5) A computer programmer works for 10 hours and makes $75. What is their rate per hour?

6) Jimena jogged 35 miles in 5 days. What is the rate of the miles per day?

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