Solving Equations with Absolute Values

Absolute value is defined as...

• always positive numbers
• negative numbers becoming positive
• distance from zero
• numbers on the number line

Tags

CCSS.6.NS.C.7C

What is always your last step of solving equations with absolute values?

• Your last step depends on the equation.

• Solve for the unknown answer.

• Check your answer.

• Celebrate that you finished the problem!

Tags

CCSS.HSA.REI.A.1

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3, -6

• x = 3, -12

• x = 6, -12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve |x – 12| - 3 = 11.

• x = -2, -26

• x = -2, 26

• x = 3, 25

• x = 4, -7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|−2n| + 10 = −50

• r = 30, -30

• r = 20,-20

• r = -5,5

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for r.

−2|−2r − 4| = -12

• r = 5,1

• r = -5,-1

• r = -5,1

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

|3m - 9| = 18

• m = 9,-3

• m = 9,3

• m = 9

• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|d + 3| = 6 - 2d

• d = 1, 9

• d = -1

• d = 1

• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

2|a - 5| = 22

• a = 16

• a = 16, -6

• a = 16, 6

• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|3h + 2| = 14 - h

• h = 3, -8

• h = 3

• h = 3, 8

• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3