 # Algebra Core Review Day 7

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Algebra Core Review Day 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

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
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