Grade 8 Mathematical Properties Worksheet
Explore and apply the commutative, associative, and distributive properties of real numbers with this comprehensive Grade 8 math worksheet.
Includes
Standards
Topics
Mathematical Properties Review
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which property is illustrated by the equation 5 + (3 + 2) = (5 + 3) + 2?
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Identity Property of Addition
2. Which expression is equivalent to 4(x + 3) using the Distributive Property?
4x + 3
x + 12
4x + 12
12x
3. The property states that the order in which two numbers are multiplied does not change the product.
4. The property allows you to multiply a single term by two or more terms inside a set of parentheses.
5. The equation (8 - 3) - 1 = 8 - (3 - 1) demonstrates the Associative Property of Subtraction.
True
False
6. According to the Commutative Property of Multiplication, 6 × 7 is the same as 7 × 6.
True
False
7. Explain the difference between the Commutative Property and the Associative Property. Provide an example for each.
8. Use the Distributive Property to simplify the expression 3(2x - 5). Show your steps.
Match each equation with the property it demonstrates.
9. a + b = b + a
A. Associative Property
10. a(b + c) = ab + ac
B. Commutative Property
11. (a × b) × c = a × (b × c)
C. Distributive Property
12. Use the number line to illustrate the Commutative Property of Addition for 2 + 3 = 3 + 2.
Related Worksheets
Prime and Composite Numbers Worksheet
Explore prime and composite numbers with this comprehensive worksheet for 8th graders, featuring identification, classification, and reasoning questions.
Positive and Negative Integers Worksheet
Grade 8 math worksheet focusing on understanding, comparing, and performing operations with positive and negative integers.
Binary Number System Worksheet
Explore the binary number system, learn to convert between binary and decimal, and perform basic binary arithmetic.
Powers of 10 Worksheet
Explore powers of 10, scientific notation, and their application in various mathematical contexts for 8th graders.
Ordering Rational Numbers
A Grade 8 math worksheet focusing on ordering rational numbers, including fractions, decimals, and integers, using number lines and comparison symbols.
Grade 8 Factors and Multiples Worksheet
A worksheet for 8th-grade students covering factors, multiples, prime factorization, greatest common factor (GCF), and least common multiple (LCM).
Ordering Integers Worksheet
A Grade 8 math worksheet focusing on ordering and comparing integers using number lines and inequalities.
Grade 8 Place Value Relationships Worksheet
Explore place value relationships in multi-digit numbers, including decimals, with this Grade 8 math worksheet.