Algebraic manipulation

Advanced Math 7 · Unit 4 · expand-factor-7

expand-factor-7

Name ______________________________Date ______________

1.
Simplify $\dfrac{1}{2}x + \dfrac{3}{4}x - 2x$ . Enter the coefficient of $x$ in the result.
Answer: ______________
2.
Expand and simplify $(2x - 3)(x + 5)$ .
Answer: ______________
3.
Factor $xy + 2x + 3y + 6$ completely.
Answer: ______________
4.
Expand $-2(x - 5)$ .
1. (A)
  $-2x - 10$
2. (B)
  $2x - 10$
3. (C)
  $-2x + 10$
4. (D)
  $-2x - 5$
5.
When $(2x + 3)(x - 4)$ is expanded and written as $ax^2 + bx + c$ , what is $a + b + c$ ?
1. (A)
  $-15$
2. (B)
  $-10$
3. (C)
  $-3$
4. (D)
  $1$
5. (E)
  $15$