Algebra Core ReviewDay 7

Unit 15: Factoring

GCF:

Difference of Squares:

Perfect Square Trinomial:

1. Factor the following expression:

5x – 15

A) 5(3x – 1) B) 5(x – 15) C) 5(3x – 15) D) 5(x – 3)

2. Factor the following

expression:

x² + 8x + 12

A) (x + 3)(x + 4)

B) (x + 3)(x + 5)

C) (x + 2)(x + 6)

D) (x + 3)(x + 6)

3. Factor the following

expression:

x² – 64

A) (x + 8)(x + 8)

B) (x – 8)(x + 8)

C) (x – 8)(x – 8)

D) prime

4. Which of the following is a difference of squares binomial?

A) x² + 25

B) x² + 100

C) x² – 24

D) x² – 36

5. (x – 6)(3x + 2) is the correct factorization of what quadratic expression?

A) 3x² – 16x + 8

B) 3x² – 20x + 12

C) 3x² – 20x + 8

D) 3x² – 16x – 12

Unit 16: Quadratic Equations

Steps

1. Make sure you have ____________

2. Factor

3. Set each group ______________

4. Solve

*When solving quadratic equations you should get ___ answers.*

6. Solve for x in the following equation:

3x² – 27x = 0

A) {0, -9}

B) {0, 9}

C) {0, -3}

D) {0, 3}

7. Solve for x the following

equation:

x² – 5x – 24 = 0

A) {3, -8}

B) {3, 8}

C) {8, -3}

D) {-8, -3}

8. The length of one side of a rectangle is 5 in more than the width. The area of the rectangle is 36 in². What is the length? (Area = l x w)

A) 4 in

B) 9 in

C) 14 in

D) 26 in

A = 36 in²

x + 5 in

x in