Absolute Value Relationships

Question 1

What is the value of –2|6x – y| when x = –3 and y = 4?

Revolt · Accepted Answer

–44

Question 2

–2–1✔ 12

Revolt · Accepted Answer

1

Question 3

What can be concluded of the equation? Check all that apply.

Revolt · Accepted Answer

There will be two solutions.; The solution to –(y + 6) = 2 will be also be a solution to the given absolute value equation.; The solution(s) will be the number(s) on the number line 2 units away from –6.

Question 4

The solutions to the equation |y − 3|= 2 are and .

Revolt · Accepted Answer

5; The solutions to the equation |y − 3|= 2 are and .: 5; The solutions to the equation |y − 3|= 2 are and .: 1

Question 5

Which values of x are solutions to this equation?

Revolt · Accepted Answer

x = –8 or x = 8

Question 6

Why are there two solutions for the equation |6 + y| = 2? Explain.

Revolt · Accepted Answer

The absolute value symbol in the equation indicates two solutions because absolute value is the distance from a number to zero on a number line. Two different directions, to the right and to the left, will determine the distance, thus two solutions.

Question 7

< s <

Revolt · Accepted Answer

13.5; Selection 1: 13.5; Selection 2: 14.5

Question 8

Which inequalities can be used to find the solution set of the following inequality? Check all that apply.|2x – 5| 8

Revolt · Accepted Answer

(2x – 5) 8; –(2x – 5) 8

Question 9

Which number line represents the solution for the inequality |2x – 5| 3?

Revolt · Accepted Answer

graph B

Question 10

Which values of p are solutions to the inequality shown? Check all that apply.|18 – 2p| > 8

Revolt · Accepted Answer

–10; –5; 0; 15

Absolute Value Relationships Answers

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