Solving Linear Absolute Value

Solve.
3|2d + 9| + 13 = 10

• d = 5 or d = -1

• d = -4 or d = -5 

• d = 4 or d = -5

• no solution

Which graph represents the solution to the absolute-value inequality:

I 2x - 11 I < 21

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Answer explanation

Remember what sort of graph < means for absolute-value.

What would be the first step to isolate the absolute value?

Solve for x
2 lx−4l+8=18

• x = 9 and x =-1

• x = 1 and x = -9

• x= 4 and x = -2

• No Solution

Solve |2x –3| + 5 =10.

• -1, 1

• -1, 4

• -1, -4

• 1, 4

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5

• x = 2 and x = -1

• x = -2 and x = 9

• No Solution

−2|−2r − 4| = -12

• {5,1}

• {-5, -1}

• {-5, 1}

• No Solution

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

Solve the absolute value equation. 

• {7}

• {-7, 7}

• {0, 7}

• No Solution

Solve and graph:

• A

• B

• C

• D

• None of the above

Tags

CCSS.7.EE.B.4B