CH2 2.6 Absolute Value Equations

Question 1

Find an equivalent statement for the following absolute value equation.

|x-3| = 8

Answer 1

X-3 = 8 or x-3 = -8

Question 2

Determine an equivalent statement for the following absolute value equation.

|x-4|= 0

Answer 2

X-4 =0

Question 3

Solve the absolute value equation.

|x| = 11

Answer 3

The solution set is
{11,-11}

Question 4

Solve the absolute value equation.

|2x| = 7.6

Answer 4

The solution set is
{3.8, -3.8}

Question 5

Solve the absolute value equation.

|2x-5| = 7

Answer 5

The solution set is
{6,-1}

Question 6

Solve the absolute value equation.

|x|+7 = 26

Answer 6

The solution set is {19, -19}

Question 7

Solve the absolute value equation.

|4x|+8 = 24

Answer 7

The solution set is
{4,-4}

Question 8

Solve the absolute value equation.

|18y| = 0

Answer 8

The solution set is {0}

Question 9

Solve the absolute value equation.

|8n+2|+13 = 1

Answer 9

The solution set is

∅

No solution

Question 10

Solve.

|5x-4| = |3x+6|

Answer 10

The solution set is
{-1/4 , 5 }

Question 11

Solve.

|z+2| = |z-4|

Answer 11

The solution set is
{1}

Question 12

Solve the absolute value equation.

|4-9x| = 4

Answer 12

The solution set is {0, -8/-9}

Question 13

Solve the absolute value equation.

|8x|-6 = 10

Answer 13

The solution set is
{2,-2}

Question 14

Solve the absolute value equation.

|x-2|+3 = 7

Answer 14

The solution set is {6,-2}

Question 15

Solve the absolute value equation.

|10+7c|-9 = -5

Answer 15

The solution set is {-6/7, -2}

Question 16

Solve the absolute value equation.

|2x-3| = |5-2x|

Answer 16

The solution set is {2}

Question 17

Solve the absolute value equation

|(2x-5)/3| = 9

Answer 17

The solution set is {16,11}

Question 18

Solve the absolute value equation.

7 + |9n| = 16

Answer 18

The solution set is
{1,-1}