Absolute Value Review
A Grade 11 math worksheet reviewing absolute value concepts, including definitions, properties, and solving equations/inequalities.
Includes
Standards
Topics
Absolute Value Review
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.
Related Worksheets
Expanded Notation Worksheet
Practice converting numbers to and from expanded notation, including decimals and powers of 10, suitable for Grade 11 math students.
Positive and Negative Integers Worksheet
A Grade 11 math worksheet focusing on operations and concepts related to positive and negative integers.
Classification of Real Numbers
A Grade 11 math worksheet covering the classification of real numbers, including natural, whole, integers, rational, and irrational numbers.
Grade 11 Integer Operations Worksheet
A worksheet for Grade 11 students to practice and master integer operations including addition, subtraction, multiplication, and division.
Scientific Notation Mastery
This worksheet focuses on converting numbers to and from scientific notation, performing calculations, and understanding its applications for Grade 11 students.
Binary Number System Worksheet
Understanding and converting between binary and decimal number systems for Grade 11 students.
Irrational Numbers Worksheet
This worksheet focuses on understanding, identifying, and performing operations with irrational numbers for Grade 11 students.
Real Number System Review
A worksheet covering the classification, properties, and operations within the real number system for Grade 11.