Loading [MathJax]/jax/output/HTML-CSS/fonts/TeX/fontdata.js
Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Prealgebra 2e

Review Exercises

Prealgebra 2eReview Exercises

Search for key terms or text.

Review Exercises

Decimals

Name Decimals

In the following exercises, name each decimal.

534.

0.8

535.

0.375

536.

0.007

537.

5.24

538.

−12.5632

539.

−4.09

Write Decimals

In the following exercises, write as a decimal.

540.

three tenths

541.

nine hundredths

542.

twenty-seven hundredths

543.

ten and thirty-five thousandths

544.

negative twenty and three tenths

545.

negative five hundredths

Convert Decimals to Fractions or Mixed Numbers

In the following exercises, convert each decimal to a fraction. Simplify the answer if possible.

546.

0.43

547.

0.825

548.

9.7

549.

3.64

Locate Decimals on the Number Line

550.

0.6

−0.9

2.2

−1.3

Order Decimals

In the following exercises, order each of the following pairs of numbers, using < or >.

551.

0.6___0.8

552.

0.2___0.15

553.

0.803____0.83

554.

−0.56____−0.562

Round Decimals

In the following exercises, round each number to the nearest: hundredth tenth whole number.

555.

12.529

556.

4.8447

557.

5.897

Decimal Operations

Add and Subtract Decimals

In the following exercises, add or subtract.

558.

5.75+8.46

559.

32.898.22

560.

2419.31

561.

10.2+14.631

562.

−6.4+(−2.9)

563.

1.834.2

Multiply Decimals

In the following exercises, multiply.

564.

(0.3)(0.7)

565.

(−6.4)(0.25)

566.

(−3.35)(−12.7)

567.

(15.4)(1000)

Divide Decimals

In the following exercises, divide.

568.

0.48÷6

569.

4.32÷24

570.

$6.29÷12

571.

(−0.8)÷(−0.2)

572.

1.65÷0.15

573.

9÷0.045

Use Decimals in Money Applications

In the following exercises, use the strategy for applications to solve.

574.

Miranda got $40 from her ATM. She spent $9.32 on lunch and $16.99 on a book. How much money did she have left? Round to the nearest cent if necessary.

575.

Jessie put 8 gallons of gas in her car. One gallon of gas costs $3.528. How much did Jessie owe for all the gas?

576.

A pack of 16 water bottles cost $6.72. How much did each bottle cost?

577.

Alice bought a roll of paper towels that cost $2.49. She had a coupon for $0.35 off, and the store doubled the coupon. How much did Alice pay for the paper towels?

Decimals and Fractions

Convert Fractions to Decimals

In the following exercises, convert each fraction to a decimal.

578.

35

579.

78

580.

1920

581.

214

582.

13

583.

611

Order Decimals and Fractions

In the following exercises, order each pair of numbers, using < or >.

584.

12___0.2

585.

35___0.

586.

78___−0.84

587.

512___−0.42

588.

0.625___1320

589.

0.33___516

In the following exercises, write each set of numbers in order from least to greatest.

590.

23,1720,0.65

591.

79,0.75,1115

Simplify Expressions Using the Order of Operations

In the following exercises, simplify

592.

4(10.35.8)

593.

34(15.447.4)

594.

30÷(0.45+0.15)

595.

1.6+38

596.

52(0.5)+(0.4)2

597.

25·910+0.14

Find the Circumference and Area of Circles

In the following exercises, approximate the circumference and area of each circle.

598.

radius=6 in.

599.

radius=3.5 ft.

600.

radius=733m

601.

diameter=11 cm

Solve Equations with Decimals

Determine Whether a Decimal is a Solution of an Equation

In the following exercises, determine whether the each number is a solution of the given equation.

602.

x0.4=2.1
x=1.7 x=2.5

603.

y+3.2=−1.5
y=1.7 y=−4.7

604.

u2.5=−12.5
u=−5 u=−31.25

605.

0.45v=−40.5
v=−18.225 v=−90

Solve Equations with Decimals

In the following exercises, solve.

606.

m+3.8=7.5

607.

h+5.91=2.4

608.

a+2.26=−1.1

609.

p4.3=−1.65

610.

x0.24=−8.6

611.

j7.42=−3.7

612.

0.6p=13.2

613.

−8.6x=34.4

614.

−22.32=−2.4z

615.

a0.3=−24

616.

p−7=−4.2

617.

s−2.5=−10

Translate to an Equation and Solve

In the following exercises, translate and solve.

618.

The difference of n and 15.2 is 4.4.

619.

The product of −5.9 and x is −3.54.

620.

The quotient of y and −1.8 is −9.

621.

The sum of m and (−4.03) is 6.8.

Averages and Probability

Find the Mean of a Set of Numbers

In the following exercises, find the mean of the numbers.

622.

2,4,1,0,1,and1

623.

$270, $310.50, $243.75, and$252.15

624.

Each workday last week, Yoshie kept track of the number of minutes she had to wait for the bus. She waited 3,0,8,1,and8 minutes. Find the mean.

625.

In the last three months, Raul’s water bills were $31.45,$48.76,and$42.60. Find the mean.

Find the Median of a Set of Numbers

In the following exercises, find the median.

626.

41, 45, 32, 60, 58

627.

25, 23, 24, 26, 29, 19, 18, 32

628.

The ages of the eight men in Jerry’s model train club are 52,63,45,51,55,75,60,and59. Find the median age.

629.

The number of clients at Miranda’s beauty salon each weekday last week were 18,7,12,16,and20. Find the median number of clients.

Find the Mode of a Set of Numbers

In the following exercises, identify the mode of the numbers.

630.

6, 4, 4,5, 6,6, 4, 4, 4, 3, 5

631.

The number of siblings of a group of students: 2, 0, 3, 2, 4, 1, 6, 5, 4, 1, 2, 3

Use the Basic Definition of Probability

In the following exercises, solve. (Round decimals to three places.)

632.

The Sustainability Club sells 200 tickets to a raffle, and Albert buys one ticket. One ticket will be selected at random to win the grand prize. Find the probability Albert will win the grand prize. Express your answer as a fraction and as a decimal.

633.

Luc has to read 3 novels and 12 short stories for his literature class. The professor will choose one reading at random for the final exam. Find the probability that the professor will choose a novel for the final exam. Express your answer as a fraction and as a decimal.

Ratios and Rate

Write a Ratio as a Fraction

In the following exercises, write each ratio as a fraction. Simplify the answer if possible.

634.

28 to 40

635.

56 to 32

636.

3.5 to 0.5

637.

1.2 to 1.8

638.

134to158

639.

213to514

640.

64 ounces to 30 ounces

641.

28 inches to 3 feet

Write a Rate as a Fraction

In the following exercises, write each rate as a fraction. Simplify the answer if possible.

642.

180 calories per 8 ounces

643.

90 pounds per 7.5 square inches

644.

126 miles in 4 hours

645.

$612.50 for 35 hours

Find Unit Rates

In the following exercises, find the unit rate.

646.

180 calories per 8 ounces

647.

90 pounds per 7.5 square inches

648.

126 miles in 4 hours

649.

$612.50 for 35 hours

Find Unit Price

In the following exercises, find the unit price.

650.

t-shirts: 3 for $8.97

651.

Highlighters: 6 for $2.52

652.

An office supply store sells a box of pens for $11. The box contains 12 pens. How much does each pen cost?

653.

Anna bought a pack of 8 kitchen towels for $13.20. How much did each towel cost? Round to the nearest cent if necessary.

In the following exercises, find each unit price and then determine the better buy.

654.

Shampoo: 12 ounces for $4.29 or 22 ounces for $7.29?

655.

Vitamins: 60 tablets for $6.49 or 100 for $11.99?

Translate Phrases to Expressions with Fractions

In the following exercises, translate the English phrase into an algebraic expression.

656.

535 miles per hhours

657.

a adults to 45 children

658.

the ratio of 4y and the difference of x and 10

659.

the ratio of 19 and the sum of 3 and n

Simplify and Use Square Roots

Simplify Expressions with Square Roots

In the following exercises, simplify.

660.

64

661.

144

662.

25

663.

81

664.

−9

665.

−36

666.

64+225

667.

64+225

Estimate Square Roots

In the following exercises, estimate each square root between two consecutive whole numbers.

668.

28

669.

155

Approximate Square Roots

In the following exercises, approximate each square root and round to two decimal places.

670.

15

671.

57

Simplify Variable Expressions with Square Roots

In the following exercises, simplify. (Assume all variables are greater than or equal to zero.)

672.

q2

673.

64b2

674.

121a2

675.

225m2n2

676.

100q2

677.

49y2

678.

4a2b2

679.

121c2d2

Use Square Roots in Applications

In the following exercises, solve. Round to one decimal place.

680.

Art Diego has 225 square inch tiles. He wants to use them to make a square mosaic. How long can each side of the mosaic be?

681.

Landscaping Janet wants to plant a square flower garden in her yard. She has enough topsoil to cover an area of 30 square feet. How long can a side of the flower garden be?

682.

Gravity A hiker dropped a granola bar from a lookout spot 576 feet above a valley. How long did it take the granola bar to reach the valley floor?

683.

Accident investigation The skid marks of a car involved in an accident were 216 feet. How fast had the car been going before applying the brakes?

Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:
    Access for free at https://openstax.org/books/prealgebra-2e/pages/1-introduction
  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:
    Access for free at https://openstax.org/books/prealgebra-2e/pages/1-introduction
Citation information

© Feb 17, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.