Name: ____________________________________________________ Date: ____________
Review Sheet
1. Simplify the following expressions:
2. Simplify the following expressions:
a. (x + 3) + (x – 3) =
a. (2𝑥 ! – 3 ) – ( 𝑥 ! + 2) =
b. 2𝑥 ! - 2x+ 5 + (3𝑥 ! + x – 6 ) =
b. (2𝑥 ! − 2x – 5) – (𝑥 ! – 3x + 2) =
3. Simplify the following expressions:
a. -4 (2r + 3) =
b. -4x (4𝑥 ! + 8x - 2) =
5. Write each number as the product
of its primes:
a. 32
4. Simplify the following expression:
!"! ! !!! ! !!!
a.
!!
b. 7 – 5(x – 1) =
6. Factor the following expressions
using the GCF:
a. 16𝑥 ! + 4 =
b. 10𝑎! + 15a =
b. 54
c. 𝑦 ! − 5𝑦 ! + 2𝑦 =
7. Simplify each
8. Factor each of the trinomials:
a. (x - 3)(x + 2) =
a. 𝑥 ! – 3x + 10 =
b. (2x – 3)(x + 2) =
b. 𝑥 ! + 2x – 24 =
c. (𝑥 + 5)! =
c. 𝑥 ! + 11x + 30 =
d. (6𝑥 ! )! =
9. The length of a rectangle is 2 more
than twice is width.
a. Find an expression (in simplest
form) that represents the area of
the rectangle.
d. 𝑥 ! - 3x - 40 =
b. Find an expression (in simplest
form) that represents the
perimeter of the rectangle.