Solving Absolute Value Equations

Solve
|3x+1|=8

• 7/3

• -3, 7/3

• 3

• -7/3, 3

Solve
|2x –3| + 5 =10

• -1, 1

• -1, 4

• -1, -4

• 1, 4

Solve
|x+6|=10

• 4, -4

• 4, -16

• 16, -16

• No Solution

Solve
∣ 2x + 9 ∣ = 15

• 3 

• 3, -6

• 3, -12

• 6, -12

• -545, -575

• -550, -525

• 540, 280

• 0, 575

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

Solve
3|x-7|-2=4

• 23/3

• 19/3, 23/3

• 9

• 5, 9

Solve 
3-|2x +7| = 2

• -3

• -4

• -3, -4

• No solution

Sam's house is 14 blocks from the school. Emily lives 6 blocks from Sam. Which equation represents the location of Emily's house in relation to the school?

• |x + 6| = 10

• |x – 6| = 14

• |x – 14| = 6

• |x + 14| = 6

Tags

CCSS.HSA.CED.A.3

Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Write an absolute value equation to model this situation.

• |x-50|=15

• |x+15|=50

• |50+x|=15

• No Solution

Tags

CCSS.HSA.CED.A.3