Understanding Absolute Value Inequalities

Understanding Absolute Value Inequalities

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Jennifer Brown

FREE Resource

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an absolute value inequality like |1/3 C - 4| ≤ 10?

Add 4 to both sides of the inequality

Multiply both sides by 3

Set up a compound inequality

Subtract 10 from both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When transforming |1/3 C - 4| ≤ 10 into a compound inequality, what should be the range of values?

-10 ≤ C ≤ 10

-10 ≤ 1/3 C - 4 ≤ 10

0 ≤ 1/3 C - 4 ≤ 10

-4 ≤ 1/3 C ≤ 4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of adding 4 to all sides of the compound inequality?

To eliminate the absolute value

To isolate the variable C

To simplify the inequality

To balance the equation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After setting up the compound inequality, what operation is performed to isolate C?

Subtract 4 from all sides

Add 10 to all sides

Multiply all sides by 3

Divide all sides by 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for C in the inequality |1/3 C - 4| ≤ 10?

0 ≤ C ≤ 10

-6 ≤ C ≤ 14

-10 ≤ C ≤ 10

-18 ≤ C ≤ 42

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