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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Equations and InequalitiesSection:Absolute Value Sentences
 
Problem: 1

Express the absolute value equation as two linear equations.

|y – 15| = 21

Problem: 3

Express the absolute value equation as two linear equations.

|x – 9| = 12

Problem: 5

Express the absolute value equation as two linear equations.

Problem: 7

Express the absolute value equation as two linear equations.

|3x + 1| = 6

Problem: 9

Express the absolute value equation as two linear equations.

|17 – 3x| = 10

Problem: 11

Express the absolute value equation as two linear equations.

Problem: 13

Check if number –6 is a solution of the equation.

|9 – 3n| = 3

Problem: 15

Check if number 8 is a solution of the equation.

Problem: 17

Check if 4 is a solution of the equation:

|–4x + 7| = 9

Problem: 19

Express the compound inequality for the absolute value inequality:

|4 + 5x| 18

Problem: 21

Express the compound inequality for the absolute value inequality.

|4x + 3| 8

Problem: 23

Express the compound inequality for the absolute value inequality.

|9 – 4n| 20

Problem: 25

Graph the solution of

Problem: 27

Graph the solution of

Problem: 29

Graph the solution of

Problem: 31

Graph the solution of

Problem: 33

Solve and plot the solution set.

Problem: 35

Solve and plot the solution set.

Problem: 37

Solve and plot the solution set.

Problem: 39

Graph the solution of

Problem: 41

Graph the solution of

Problem: 43

Solve:

Problem: 45

A cold drink bottler has a tolerance of 12 ml in a 4 liters bottle, 6 ml in a 2 liters bottle, 2 ml in a 1 liter bottle. For each size of bottle, write an absolute value inequality describing the capacities that are outside the acceptable range.

Problem: 47

An 18 ounce bag of flour probably does not weigh exactly 18 ounces. Suppose the actual weight can be between 15.6 ounces to 16.4, inclusive.

A carton of flour contains 12 of these "18 ounce" bags. What is the largest possible weight of the flour in a carton? What is the lowest possible weight?

Find out the absolute value inequality that describes the acceptable weights of a carton.

Problem: 49

A wood shop instructor requires several pieces of wood to be cut within 5/18 inch of his specifications. If p represents the specification and x the length of a cut piece of wood, write an absolute value inequality that describes the acceptable values of x.

Also, if one piece of wood was measured at inches, describe the acceptable lengths of the piece of wood.

Problem: 1

Express the absolute value equation as two linear equations.

|y – 15| = 21

Problem: 3

Express the absolute value equation as two linear equations.

|x – 9| = 12

Problem: 5

Express the absolute value equation as two linear equations.

Problem: 7

Express the absolute value equation as two linear equations.

|3x + 1| = 6

Problem: 9

Express the absolute value equation as two linear equations.

|17 – 3x| = 10

Problem: 11

Express the absolute value equation as two linear equations.

Problem: 13

Check if number –6 is a solution of the equation.

|9 – 3n| = 3

Problem: 15

Check if number 8 is a solution of the equation.

Problem: 17

Check if 4 is a solution of the equation:

|–4x + 7| = 9

Problem: 19

Express the compound inequality for the absolute value inequality:

|4 + 5x| 18

Problem: 21

Express the compound inequality for the absolute value inequality.

|4x + 3| 8

Problem: 23

Express the compound inequality for the absolute value inequality.

|9 – 4n| 20

Problem: 25

Graph the solution of

Problem: 27

Graph the solution of

Problem: 29

Graph the solution of

Problem: 31

Graph the solution of

Problem: 33

Solve and plot the solution set.

Problem: 35

Solve and plot the solution set.

Problem: 37

Solve and plot the solution set.

Problem: 39

Graph the solution of

Problem: 41

Graph the solution of

Problem: 43

Solve:

Problem: 45

A cold drink bottler has a tolerance of 12 ml in a 4 liters bottle, 6 ml in a 2 liters bottle, 2 ml in a 1 liter bottle. For each size of bottle, write an absolute value inequality describing the capacities that are outside the acceptable range.

Problem: 47

An 18 ounce bag of flour probably does not weigh exactly 18 ounces. Suppose the actual weight can be between 15.6 ounces to 16.4, inclusive.

A carton of flour contains 12 of these "18 ounce" bags. What is the largest possible weight of the flour in a carton? What is the lowest possible weight?

Find out the absolute value inequality that describes the acceptable weights of a carton.

Problem: 49

A wood shop instructor requires several pieces of wood to be cut within 5/18 inch of his specifications. If p represents the specification and x the length of a cut piece of wood, write an absolute value inequality that describes the acceptable values of x.

Also, if one piece of wood was measured at inches, describe the acceptable lengths of the piece of wood.