Which property justifies rewriting the expression $10x + 5 + 8x$ as $10x + 8x + 5$?

Commutative Property of Addition

Associative Property of Multiplication

Writing Equivalent Expressions Practice — Grade 7 math

1. Simplify the expression by combining like terms: $9a + 8b - 4a + 2b$. The simplified form is ___.
2. Simplify the expression by rearranging the factors: $\frac{4}{9} \cdot \frac{5}{13} \cdot \frac{9}{4} = $ ___.
3. Simplify the expression: $\frac{3}{10} + \frac{5}{7} + (-\frac{3}{10})$.
- A. $1$
- B. $\frac{5}{7}$
- C. $0$
- D. $1\frac{5}{7}$
4. Simplify the expression $6y + 15 - 4y - 8$. The result is ___.
5. Which property justifies rewriting the expression $10x + 5 + 8x$ as $10x + 8x + 5$?
- A. Commutative Property of Addition
- B. Associative Property of Multiplication
- C. Distributive Property
- D. Inverse Property of Addition
6. Factor the expression by finding the greatest common factor: $6x + 24 = \_\_\_$
7. Which of the following is the correct factorization of the expression $-8a - 32$?
- A. 8(a+4)
- B. -8(a+4)
- C. -8(a-4)
- D. 8(-a-4)
8. Factor the expression completely: $42 + 7z = \_\_\_$
9. To factor the expression $15m + 45$, what is the greatest common factor (GCF) that should be used?
- A. 3
- B. 5
- C. 15
- D. 45
10. Factor the expression by factoring out the negative GCF: $-12 - 4p = \_\_\_$