Solving Absolute Value Functions Number Line Graphing

Select all that apply. (May have more than one answer)

f(x) = -2|x+4|

• Horizontal translation left 4 units

• Horizontal translation right 4 units

• Reflection over the x-axis

• Vertical stretch by a factor of 1/2

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

Solve for x: 4|3x - 5| + 20 > 6

• 4/3 < x < 2

• x < 4/3 or x > 2

• x > 14/3 or x < -4/3

• No Solution

|−2n| + 10 = −50

• r = 30, -30

• r = 20,-20

• r = -5,5

• No Solution

• x < 0 or x ≥ 2

• x < 0 or x > 2

• x ≤ 0 or x ≥ 2

• x ≤ 0 or x > 2

What is the solution of ∣5x-2∣=7x+14? Check for extraneous solutions

• x=-1

• x=-1, x=-8

• x=-8

• no solutions

| x + 3 | ≤ 2

• No Solution

• All Real Numbers

• -5 ≤ x ≤ -1

• 1 ≤ x ≤ 5

Solve for z 11 = 6|-2z|- 5

• +4/3, -4/3

• 1/2, -1/2

• -4/3, 1/2

• 5.5, -5.5

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

• d = 5 or d = -1

• d = -4 or d = 5 

• d = 4 or d = -5

• no solution

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