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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 & Graphing Absolute Value Equations
 

Problem: 1

Solve the absolute value equation | x| = 8.

Write no solution if the equation has no solution.

 

Problem: 3

Solve the absolute value equation | x| = –92.

Write no solution if the equation has no solution.

 

Problem: 5

Solve the absolute value equation.

|y – 3| = 5

Write no solution if the equation has no solution.

 

Problem: 7

Solve the absolute value equation.

|x – 1| = 7

Write no solution if the equation has no solution.

 

Problem: 9

Solve the absolute value equation.

|5x| = 50

Write no solution if the equation has no solution.

 

Problem: 11

Solve the absolute value equation.

|5y + 3| = –8

Write no solution if the equation has no solution.

 

Problem: 13

Solve the absolute value equation.

|x – 4| = 9

Write no solution if the equation has no solution.

 

Problem: 15

Solve the absolute value equation.

Write no solution if the equation has no solution.

 

Problem: 17

Solve the absolute value equation

|2.4y – 1.2| = 6.0.

Write no solution if the equation has no solution.

 

Problem: 19

Solve the absolute value inequality.

Write no solution if the inequality has no solution.

 

Problem: 21

Solve the absolute value inequality.

|2 + 4x| 11

Write no solution if the inequality has no solution.

 

Problem: 23

Solve the absolute value inequality.

|3 – y | 2

 

Problem: 25

Solve and graph.

|y – 2| = 4

 

Problem: 27

Solve and graph.

|3 – 3x| = 0

 

Problem: 29

Solve and graph.

|x| 12

 

Problem: 31

Solve and graph.

|x – 20| 40

 

Problem: 33

Solve and graph.

|2x + 4| 8

 

Problem: 35

Solve and graph.

|5x – 1| 11

 

Problem: 37

Solve and graph.

|4x – 8| – 3 5

 

Problem: 39

Solve and graph.

|4 – x| 5

 

Problem: 41

A projectile is fired straight up with an initial velocity of 192 feet per second. Its speed, in feet per second, at time t seconds after firing is

s = |–32t + 192|.

Find the times t at which the speed is greater than 64 feet per second.

 

Problem: 45

A contestant on a game show has to guess the price of a car correctly within $2500. If the value of the car is $30,000, write a compound inequality to represent the winning guesses.