Absolute Values Algebra

Solve.
|c + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

Solve.
|p + 3| ≥ 10

• -13 ≤ p ≤ 7

• p ≤ -13 or p ≥ 7

• -7 ≤ p ≤ 13

• p ≤ -7 or p ≥ 13

Solve.

3|d - 4| ≥ 12

• d = -8 or d = 0

• no solution

• d ≥ 8 or d ≤ 0

• d = 40 or d = 32

Solve.
|5x + 7| < 22

• x < -5 ⅘ or x > 3

• -5 ⅘ < x < 3

• -3 < x < 5 ⅘

• x < -3 or x > 5 ⅘

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

Determine the transformation

• Left 5, up 1

• Left 5, down 1

• Right 5, up 1

• Right 5, down 1

Determine the vertex for each absolute value function

• (-3, -1)

• (-3, 1)

• (3, -1)

• (3, 1)

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the graph of f\left(x\right)=-\left|x-2\right|+6?

• (2, 6)

• (-2, 6)

• (-2, -6)

• (2, -6)

Tags

CCSS.HSF-IF.C.7D

What is the range of the absolute value function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5