Grade 8 Mathematical Properties Worksheet
Explore and apply the commutative, associative, and distributive properties of real numbers with this comprehensive Grade 8 math worksheet.
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Standards
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Mathematical Properties Review
Name:
Date:
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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.
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