Absolute Values Equations

Solve the equation.

|8 - 4x| = 16

Choose all correct answers.

• x = 6

• x = 2

• x = -2

• No Solution

• x = -6

Solve for x l 4x−3 l = 17

Choose all correct answers.

• x = 5

• x =-3.5

• x = 10

• x = 0

• No Solution

Solve the equation.

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-3}

• {5}

• No Solution

Solve the following equation:

|−2n| + 10 = −50

• {30, −30}

• {20, −20}

• {−5, 5}

• {-30, 20}

• No Solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1)

• {-1, 5}

• No Solution

Solve the equation.

-3|x + 2| = 0

x = ____

Explain your thinking. Determine whether the following statement is sometimes, always, or never true. If a and b are real numbers, then |a + b| = |a| + |b|.

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The outdoor temperature ranged between 42-degrees Fahrenheit and 60-degrees Fahrenheit during a 24-hour period. Let T represent the temperature during this time period.

• 42 < | T | < 60

• 42 <= | T | <= 60

• | T - 51 | <= 9

• | T - 51 | < 9

Solve for x
l 5x l = 40

• x = 8 and x =-8

• x = 35 and x = -35

• Only x = 8

• No Solution