Lesson 4: Expanding Expressions using the Distributive Property — Practice Questions

1. 1. Use the distributive property to simplify the expression: $-5(2x + 3) = \_\_\_.

2. 2. Simplify the expression by distributing the negative sign: $-(p + 9) = \_\_\_.

3. 3. Use the distributive property to simplify the expression: $-9(3k - 7) = \_\_\_.

4. 4. Simplify the following expression: $-(-x + 8) = \_\_\_.

5. 5. When simplifying the expression $-8(x - 3)$, what is the result of multiplying $-8$ by the second term, $-3$?

   • A. 24
   • B. -24
   • C. 11
   • D. -11

6. 6. Use the distributive property to simplify the expression $5(a + 6)$. The simplified expression is ___.

7. 7. Use the distributive property to expand the expression $p(4p + 9)$. The result is ___.

8. 8. Simplify the expression $7(2m - 3)$ using the distributive property. The result is ___.

9. 9. Use the distributive property to simplify the expression $-6(k + 2)$. The result is ___.

10. 10. Applying the distributive property to the expression $a(b - c)$ results in which equivalent expression?

    • A. $ab - c$
    • B. $ab - ac$
    • C. $a - bc$
    • D. $a - b - c$