Lesson 2: Adding and Subtracting Linear Expressions — Practice Questions

1. 1. Factor the expression $8x + 24$ by finding the greatest common factor. The factored form is ___.

2. 2. Which expression is the correctly factored form of $y^2 - 5y$?

   • A. y(y - 5)
   • B. $5(y^2 - y)$
   • C. y(y - 5y)
   • D. 5y(y - 1)

3. 3. Factor the expression $15z^2 + 20z$ completely. The result is ___.

4. 4. What is the greatest common factor (GCF) of the terms in the expression $14a + 21b$?

   • A. 7
   • B. 7ab
   • C. 14
   • D. 3

5. 5. When the expression $9m^2 - 12m$ is factored completely, the result is ___.

6. 6. Use the distributive property to expand the expression $5(3x + 4)$. The expanded expression is ___.

7. 7. Which expression is equivalent to $-4(2x - 5)$ after using the distributive property?

   • A. -8x + 20
   • B. -8x - 20
   • C. 8x + 20
   • D. 8x - 20

8. 8. Simplify the expression $6(y - 3) + 2y$ by expanding and combining like terms. The result is ___.

9. 9. A student incorrectly expanded $7(x+2)$ as $7x+2$. What is the correct expansion?

   • A. 7x + 14
   • B. 7x + 2
   • C. x + 14
   • D. 9x

10. 10. Simplify the expression $10 - (x - 5)$. The simplified expression is ___.