1. Algebra Core Review Day 7

2. Unit 15: Factoring GCF: Difference of Squares:
Perfect Square Trinomial:

3. 1. Factor the following
expression:
5x – 15
A) 5(3x – 1)
B) 5(x – 15)
C) 5(3x – 15)
D) 5(x – 3)

4. 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)

5. 3. Factor the following
expression:
x² – 64
A) (x + 8)(x + 8)
B) (x – 8)(x + 8)
C) (x – 8)(x – 8)
D) prime

6. 4. Which of the following is a difference of squares binomial?
A) x² + 25
B) x² + 100
C) x² – 24
D) x² – 36

7. 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

8. 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.*

9. 6. Solve for x in the following equation:
3x² – 27x = 0
A) {0, -9}
B) {0, 9}
C) {0, -3}
D) {0, 3}

10. 7. Solve for x the following
equation:
x² – 5x – 24 = 0
A) {3, -8}
B) {3, 8}
C) {8, -3}
D) {-8, -3}

11. 8. The length of one side of a rectangle is 5 in more than the width
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