2-5 Absolute Value Equations day 3

An absolute value equation is

• an equation that contains an absolute value expression
• always going to have two solutions
• always going to have one solution
• impossible to solve

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.D.11

What is the 1st step in solving an absolute value equation?

• isolate the absolute value

• set up your two cases

• take the absolute value of the inside

Does the following equation have 2 solutions or no solution?

|a| = -5

• 2 solutions

• no solution

Does the following equation have 2 solutions or no solution?

-2|a| = -6

• 2 solutions

• no solution

What are the two related linear equations (2 cases) used to solve the given absolute value equation:

| x - 4 | = 8

• x - 4 = 8 and x + 4 = 8

• x - 4 = 8 and x - 4 = - 8

• x - 4 = 8

What are the two related linear equations (2 cases) used to solve the given absolute value equation:

| 2x + 3 | = 18

• 2x + 3 = 18

• 2x + 3 = 18 and 2x - 3 = 18

• 2x + 3 = 18 and 2x + 3 = -18

SOLVE:

| 3x - 6 | - 9 = -3

Enter the smaller answer

Choose the correct translation: |x - 2| = 14

• the distance from 2 is 14

• the distance from -2 is 14

• the distance from 14 is 2

• the distance from 14 is -2

Choose the correct translation:

|x + 5| = 1

• The distance from 1 is 5

• The distance from 1 is -5

• The distance from -5 is 1

• The distance from 5 is 1

Write the following equation:

• |x + 6 | = 2

• |x - 6 | = 2

• |x + 2 | = 6

• |x - 2 | = 6

Tags

CCSS.HSA.CED.A.3