Solving Equations with Absolute Value

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

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3, -6

• x = 3, -12

• x = 6, -12

Solve |x – 12| = 14.

• x = -2, -26

• x = -2, 26

• x = 3, 25

• x = 4, -7

|−2n| = −50

• r = 30, -30

• r = 20,-20

• r = -5,5

• No Solution

Solve for r.

|−2r − 4| = 6

• r = 5,1

• r = -5,-1

• r = -5,1

• No Solution

|3m - 9| = 18

• m = 9,-3

• m = 9,3

• m = 9

• no solution

What is the absolute value of |-26|.

• 26
• -26
• 0
• -20

Tags

CCSS.6.NS.C.7C

|a - 5| = 11

• a = 16

• a = 16, -6

• a = 16, 6

• no solution

|2a - 10| = 6

• a = 8, a = 5
• a = 2
• a = 8
• a = 8, a = 2

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution