KennyMcCormick
KennyMcCormick 4d ago • 0 views

Test Questions for Commutative and Associative Properties in Algebra

Hey there! 👋 Ever get mixed up with the commutative and associative properties in algebra? No worries, I got you covered! This quick guide and quiz will help you nail them down. Let's get started! 🤓
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flores.william73 Dec 27, 2025

📚 Quick Study Guide

    🔢 Commutative Property: This property states that the order of operands does not change the result.
  • ➕ For addition: $a + b = b + a$
  • ✖️ For multiplication: $a \times b = b \times a$
  • 🧮 Associative Property: This property states that the grouping of operands does not change the result.
  • ➕ For addition: $(a + b) + c = a + (b + c)$
  • ✖️ For multiplication: $(a \times b) \times c = a \times (b \times c)$

Practice Quiz

  1. Question 1: Which property is demonstrated by the equation $5 + 3 = 3 + 5$?
    1. A) Associative Property of Addition
    2. B) Commutative Property of Addition
    3. C) Distributive Property
    4. D) Identity Property of Addition
  2. Question 2: Which of the following equations demonstrates the associative property of multiplication?
    1. A) $7 \times 1 = 7$
    2. B) $4 \times (2 \times 3) = (4 \times 2) \times 3$
    3. C) $6 \times 5 = 5 \times 6$
    4. D) $8 + 0 = 8$
  3. Question 3: Identify the property illustrated in the equation $(2 + 4) + 6 = 2 + (4 + 6)$.
    1. A) Commutative Property of Multiplication
    2. B) Associative Property of Addition
    3. C) Commutative Property of Addition
    4. D) Distributive Property
  4. Question 4: Which equation exemplifies the commutative property of multiplication?
    1. A) $9 \times (2 \times 1) = (9 \times 2) \times 1$
    2. B) $10 \times 1 = 10$
    3. C) $11 \times 8 = 8 \times 11$
    4. D) $12 + 0 = 12$
  5. Question 5: Which property allows you to rearrange the terms in the expression $a + c + b$ to $a + b + c$ without changing the result?
    1. A) Associative Property of Addition
    2. B) Identity Property of Addition
    3. C) Commutative Property of Addition
    4. D) Distributive Property
  6. Question 6: What property is being used in the equation $3 \times (x \times y) = (3 \times x) \times y$?
    1. A) Commutative Property of Multiplication
    2. B) Associative Property of Multiplication
    3. C) Distributive Property
    4. D) Identity Property of Multiplication
  7. Question 7: Which of the following does NOT demonstrate either the commutative or associative property?
    1. A) $p + q = q + p$
    2. B) $(m \times n) \times o = m \times (n \times o)$
    3. C) $r \times 1 = r$
    4. D) $s + (t + u) = (s + t) + u$
Click to see Answers
  1. B
  2. B
  3. B
  4. C
  5. C
  6. B
  7. C

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