Associative Property of Addition and Multiplication quiz with answers

➕ Quick Study Guide

• 🔢 The Associative Property of Addition states that changing the grouping of addends does not change the sum: $(a + b) + c = a + (b + c)$.
• ✖️ The Associative Property of Multiplication states that changing the grouping of factors does not change the product: $(a \* b) \* c = a \* (b \* c)$.
• 💡 This property applies only to addition and multiplication, not subtraction or division.
• 📝 Remember, the order of the numbers stays the same; only the parentheses change.

✍️ Practice Quiz

1. Which equation demonstrates the associative property of addition?
   1. $5 + 3 = 3 + 5$
   2. $(2 + 4) + 6 = 2 + (4 + 6)$
   3. $7 \* (2 + 3) = 7 \* 2 + 7 \* 3$
   4. $9 + 0 = 9$
2. Which equation demonstrates the associative property of multiplication?
   1. $4 \* 1 = 4$
   2. $(3 \* 5) \* 2 = 3 \* (5 \* 2)$
   3. $6 \* 7 = 7 \* 6$
   4. $8 \* (4 + 1) = 8 \* 4 + 8 \* 1$
3. Simplify: $(1 + 2) + 3$
   1. 4
   2. 5
   3. 6
   4. 7
4. Simplify: $2 \* (3 \* 4)$
   1. 14
   2. 18
   3. 20
   4. 24
5. Which of the following is NOT an example of the associative property?
   1. $(a + b) + c = a + (b + c)$
   2. $(x \* y) \* z = x \* (y \* z)$
   3. $p + q = q + p$
   4. $(1 + 2) + 3 = 1 + (2 + 3)$
6. Solve for x: $(x + 5) + 2 = 3 + (5 + 2)$
   1. 1
   2. 2
   3. 3
   4. 4
7. Solve for y: $(2 \* y) \* 3 = 2 \* (4 \* 3)$
   1. 2
   2. 3
   3. 4
   4. 5