Lesson 60: Finding Special Products of Binomials — Practice Questions

1. 1. Use the difference of squares pattern to find the product of $(5z + 2)(5z - 2)$. The simplified expression is ___.

2. 2. Which expression is the result of multiplying $(6k + 1)(6k - 1)$?

   • A. $36k^2 + 1$
   • B. $12k^2 - 1$
   • C. $36k^2 - 1$
   • D. $36k^2 - 12k - 1$

3. 3. What is the product of $(2x - 5y)$ and $(2x + 5y)$? The result is ___.

4. 4. When $(8 - 3m)(8 + 3m)$ is simplified, what is the result?

   • A. $64 - 9m^2$
   • B. $64 + 9m^2$
   • C. $16 - 6m$
   • D. $64 - 3m^2$

5. 5. Find the product of $(y+10)$ and $(y-10)$. The simplified form is ___.

6. 6. Use the pattern for squaring a binomial to find the product. The expression $(y - 8)^2$ simplifies to ___.

7. 7. Which expression is equivalent to $(2z + 7)^2$?

   • A. $4z^2 + 49$
   • B. $4z^2 + 14z + 49$
   • C. $4z^2 + 28z + 49$
   • D. $2z^2 + 28z + 49$

8. 8. A square has a side length of $(5x - 2)$ units. The expression for the area of the square is ___.

9. 9. A student incorrectly simplified $(k - 10)^2$ to $k^2 - 100$. What term is missing from their simplified expression?

   • A. -10k
   • B. -20k
   • C. 20k
   • D. 100

10. 10. What is the correct expansion of $(x + 11)^2$?

    • A. $x^2 + 121$
    • B. $x^2 + 11x + 121$
    • C. $x^2 + 22x + 121$
    • D. 2x + 22