Solving Absolute Value Equations

Question 1

Which number line represents the solutions to |x – 2| = 6?

Revolt · Accepted Answer

D:

Question 2

Jamaal is allowed to walk no farther than three blocks in either direction from his house. If his house is located on the 57th block of the town, which absolute value equation can be used to determine the farthest block to which Jamaal is allowed to walk?

Revolt · Accepted Answer

D: |x – 57| = 3

Question 3

What value or values of x satisfy 2|x + 5.3| = 4.2?

Revolt · Accepted Answer

C: x can equal –3.2 or –7.4.

Question 4

Which statements are true? Check all that apply.The equation |–x – 4| = 8 will have two solutions.The equation 3.4|0.5x – 42.1| = –20.6 will have one solution.The equation = 0 will have no solutions.The equation |2x – 10| = –20 will have two solutions.The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions.The equation = 5 will have infinitely many solutions.

Revolt · Accepted Answer

A: The equation |–x – 4| = 8 will have two solutions.; E: The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions.

Question 5

x = [___]

Revolt · Accepted Answer

-3

Question 6

Question 6

Revolt · Accepted Answer

B: A good first step for solving the equation is to subtract 0.5 from both sides of the equation.; E: The negative case of this equation is x – 12 = –0.75.

Question 7

|x + | = .

Revolt · Accepted Answer

: 74253; : 74254

Question 8

is the maximum temperature at which nitrogen is a liquid.

Revolt · Accepted Answer

: 74261; : 74262

Question 9

|x + | = .

Revolt · Accepted Answer

12.78

Question 10

is the minimum temperature at which nitrogen is a liquid.

Revolt · Accepted Answer

-346

Solving Absolute Value Equations Answers

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