Solve Absolute Value Function

Solve  | 2x - 1 | = -4

• x = ¹/₂ and x = -4

• No Solution

• x = ^-3/₂ and x = ⁵/₂

• x = ³/₂ and x = ^-5/₂

Solve | 3n + 12 | = 2n

• No Solution

• n = -12 or n = ^-12/₅

• n = -12

• n = ^-12/₅

Write an equation for the absolute value function in the form y = a|x-h|+k, given the vertex is (-2, -2) and point (0, 4).

• y = -3|x+2|-2

• y = 3|x-2|+2

• y = 3|x+2|-2

• y = -3|x+2|+2

Tags

CCSS.HSF-IF.C.7D

Write an equation for the absolute value function in the form y = a|x-h|+k, given the vertex is (3, 1) and point (6, -5).

• y = 2|x-3|+1

• y = 4/3|x-3|=1

• y = -4/3|x-3|+1

• y = -2|x-3|+1

Tags

CCSS.HSF-IF.C.7D

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

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

Solve the following equation:

3| −8x| + 8 = 80

• {−7/3, 7/3}

• {−3, 3}

• {11/3, −11/3}

• No Solution

Solve for x: -4|x + 5| + 2 = -126

• x = 26 or x = -36

• x = 27 or x = -37

• x = 123 or x = -133

• No Solution

Evaluate each expression.
| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-3}

• No Solution