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

Commutative Property of Addition

Associative Property of Multiplication

Simplifying Expressions by Combining Like Terms 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. Simplify the expression by combining like terms: $4x + 6y + 2x - 3y$. The simplified expression is ___.
7. Simplify the following expression: $7a - 3b - 9 + 2a + 8b$. The simplified form is ___.
8. Simplify the expression $c + 8d - 5c - 3d$. The simplified expression is ___.
9. After combining like terms, the expression $12x - 7y - 15 - 5x + 7y$ simplifies to ___.
10. Which expression is equivalent to $k - 4m - 6k + 3m$?
- A. -5k - m
- B. 7k - 7m
- C. -5k - 7m
- D. 5k + m