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Hotmath Practice Problems

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Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Inequalities and Absolute Value EquationsSection:Solving Inequalities in One Variable
 

Problem: 1

Graph the inequality.

x –3

 

Problem: 3

Graph the inequality.

4 x

 

Problem: 5

Solve the inequality and graph its solution.

x + 6 8

 

Problem: 7

Solve the inequality and graph its solution.

–4 + f 20

 

Problem: 9

Solve the inequality and graph its solution.

p – 12 –1

 

Problem: 11

Solve the inequality and graph its solution.

x + 7 –13

 

Problem: 13

Solve the inequality and graph its solution.

7m – 6m 3

 

Problem: 15

Solve the inequality and graph its solution.

13p 65

 

Problem: 17

Solve the inequality and graph its solution.

7x 28

 

Problem: 19

Solve the inequality and graph its solution.

 

Problem: 21

Solve the inequality and graph its solution.

–20r –24

 

Problem: 23

Solve the inequality and graph its solution.

 

Problem: 25

Find the approximate solution and graph it.

12 2.888d

 

Problem: 27

Solve the inequality and graph its solution.

 

Problem: 29

Solve the inequality and graph its solution.

 

Problem: 31

Solve the inequality. Then match its solution with one of the graphs shown.

 

Problem: 33

Solve the inequality. Then match its solution with one of the graphs shown.

 

Problem: 35

Arfana had $100 to buy gifts for her family. She bought a book for $30.75 for her father, a $20.50 necklace for her mother, and a CD for $18.42 for her brother. She still has to buy a present for her sister. Write and solve an inequality to express how much she can spend on her sister's gift.

 

Problem: 37

Three consecutive integers can be expressed as m,m + 1, and m + 2. Write an inequality, and use it to find the smallest consecutive integers satisfying the condition that the sum is greater than 61.

 

Problem: 39

A couple goes out to dinner with $50 to spend. A sales tax of 5% is added to the bill, and they plan to tip 20% after tax. Write and solve an inequality to show how much they can spend on the meal.