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Hotmath Practice Problems

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Title:
Hotmath Pre-Algebra
Author:
Hotmath Team
 
Free
Chapter:Real Numbers and the Pythagorean TheoremSection:Solving Multi-Step Inequalities
 

Problem: 1

Say what is to be done to the first inequality in order to get the second.

List all the steps.

6x – 3 3, x 1

 

Problem: 3

Say what is to be done to the first inequality in order to get the second.

List all the steps.

3 – 4y 31, y –7

 

Problem: 5

Solve –13x + 4 –22. Then plot its graph.

 

Problem: 7

Solve 4z – 9 23. Then plot its graph.

 

Problem: 9

Solve and graph the solutions.

2q + 7 –11

 

Problem: 11

Solve:

Then plot its graph.

 

Problem: 13

Solve and graph the solution.

 

Problem: 15

Solve:

Then plot its graph.

 

Problem: 17

Solve.

4v + 12 – 8v – 3 –22

 

Problem: 19

Solve the given inequality and then check your solution. Sketch the solution on a number line.

2.4x + 3.6 3.9x – 1.2

 

Problem: 21

Solve.

 

Problem: 23

Solve the given inequality and then check your solution. Sketch the solution on a number line.

 

Problem: 25

If x takes values: –9, –3, 0, 3 and 9, find the values of x that are solutions of:

2x – 9 8.

 

Problem: 27

If x takes values: –4, –2, 0, 2 and 4, find the values of x that are solutions of:

5x – 4 21.

 

Problem: 29

The sum of two times a number and 3 lies between –11 and 5.

Solve the compound inequality –11 2x + 3 5 to find the solutions.

 

Problem: 31

Two consecutive integers can be represented by n and n + 1. State and solve an inequality to represent the sentence: The sum of two consecutive integers is at least 11.

 

Problem: 33

Three consecutive integers can be represented by n,n + 1 and n + 2. State an inequality that represents the sentence: The sum of 3 consecutive integers is more than 21.

 

Problem: 35

Use the given figure. If the area is at least 45 cm2, describe the value of x.

 

Problem: 37

David wants to go on a school trip to Chicago during holidays. He agrees to pay his parents back at least $13 per month if they lend him $117 for the trip. How long will it take him to pay the money he owes to his parents?