Absolute Value Review

A Grade 11 math worksheet reviewing absolute value concepts, including definitions, properties, and solving equations/inequalities.

Grade 11 Math Number SenseIntegers and Rational NumbersAbsolute Value

Use This Worksheet

Includes

Multiple ChoiceFill in the BlanksTrue / False2 Short AnswerLong Answer

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

absolute valuemathgrade 11equationsinequalities

8 sections · Free to use · Printable

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What is the definition of absolute value of a number 'x'?

The number itself.

The opposite of the number.

The distance of the number from zero on a number line.

The square root of the number.

2. Which of the following is equivalent to |x - y|?

|y - x|

x - y

-(x - y)

All of the above.

3. The absolute value of -15 is .

4. If |x| = 7, then x can be 7 or .

5. The absolute value of any non-zero number is always positive.

True

False

6. The equation |x| = -3 has no solution.

True

False

7. Solve for x: |2x - 3| = 7

8. Solve for x: |x + 5| - 2 = 10

9. Solve for x: |x - 4| < 3

10. Solve for x: |2x + 1| ≥ 5

11. Explain why the absolute value of a number can never be negative. Provide an example to support your explanation.