Lesson 1.7: Solving Absolute Value Equations Answers

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

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?

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

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 [image 1] = 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 [image 2] = 5 will have infinitely many solutions.

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Which statements are true for solving the equation 0.5 – |x – 12| = –0.25? Check all that apply.The equation will have no solutions.A good first step for solving the equation is to subtract 0.5 from both sides of the equation.A good first step for solving the equation is to split it into a positive case and a negative case.The positive case of this equation is 0.5 – |x – 12| = 0.25.The negative case of this equation is x – 12 = –0.75.The equation will have only 1 solution

For nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F. Which equation can be used to find the maximum and minimum temperatures at which nitrogen is a liquid, x?

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For nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid.

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Max rides his scooter toward Kim and then passes her at a constant speed. His distance in feet, d, from Kim t seconds after he started riding his scooter is given by d = |150 – 9t|.

Max rides his scooter toward Kim and then passes her at a constant speed. His distance in feet, d, from Kim t seconds after he started riding his scooter is given by d = |150 – 9t|.

Max’s starting distance from KimThe time it takes Max to reach Kim✔ Max’s constant speed