Lesson 18: Combining Like Terms — Practice Questions

1. 1. Simplify the expression by combining like terms: $8p^5 + 5p^5 - 2p^5 = \_\_\_$.

2. 2. Which expression is equivalent to $5x^3 + 2x^2 - 3x^3$?

   • A. $2x^3 + 2x^2$
   • B. $4x^5$
   • C. $4x^3$
   • D. $7x^3 - 3x^3$

3. 3. Simplify the expression by combining like terms: $4a^2b - 2ab^2 + 5a^2b + 3ab^2 = \_\_\_$.

4. 4. When simplifying $9k^4 + 3k^4$, what is the correct result?

   • A. $12k^8$
   • B. $27k^4$
   • C. $12k^4$
   • D. $27k^8$

5. 5. Simplify the following expression: $6c^3 - 2d^2 + 4c^3 + 5d^2 - c = \_\_\_$.

6. 6. Which of the following terms is a like term with $-4y^2$?

   • A. $6y^2$
   • B. $4y$
   • C. $-4x^2$
   • D. $y^4$

7. 7. Simplify the expression by combining the like terms: $9a - 12a = \_\_\_$

8. 8. Simplify the expression by combining all like terms: $4m + 7n - m + 2n = \_\_\_$

9. 9. Which of the following is an *unlike* term when compared to $8p^5$?

   • A. $p^5$
   • B. $-3p^5$
   • C. $8p^2$
   • D. $10p^5$

10. 10. Simplify the following expression: $6b + 10 - 4b + 3c - 5 = \_\_\_$