Unit 4 Review

Simplifying Polynomials

100

Simplify the expression:

(x² + 3x) - (2x² - 4x)

-x² + 7x

200

Simplify the expression:
(x + 4) + 3(x² - 2x)

3x² - 5x + 4

300

Simplify the expression:

2(x² + 2x) - (x² - 3x +1)

x² +7x - 1

400

Simplify the expression:

3(4x - 1) - 2(x² - 4x + 5)

-2x² + 20x - 13

500

Simplify the expression:

4x(2x + 3) - 3(2x² - 6x + 7)

2x² + 30x - 21

GCF

100

Factor out the GCF: 

3x - 12

3(x - 4)

200

Factor out the GCF:

5x² - 30

5(x² - 6)

300

Factor out the GCF:

12x² - 16x

4x(3x - 4)

400

Factor out the GCF:

9x² - 24x + 15

3(3x² - 8x + 5)

500

Factor out the GCF:

6x² - 36x + 39

3(2x² - 12x + 13)

Factoring Quadratics

100

Factor completely:  x² + 9x + 8

(x+8)(x+1)

200

Factor completely:  x² + 5x - 36

(x+9)(x-4)

300

Factor Completely: 2x² + 8x + 6

2(x+3)(x+1)

400

Factor Completely: 2x² - 5x + 3

(2x+1)(x-3)

500

Factor Completely: 8x² + 18x +9

(2x+3)(4x+3)

Solving Quadratics

100

Solve for x:  3x² -21x

x=0, x=7

200

Solve for x:  x² - 6x - 7

x= -1, x=7

300

Solve for x: 2x² - 12x - 16

x=4, x=2

400

Solve for x: 2x² + 5x - 12

x= 3/2, x = -4

500

Solve for x: 3x² + 5x - 12

x= 4/3, x= -3

D.O.T.S

100

Factor completely:  x² - 9

(x+3)(x-3)

200

Factor Completely: 4x²-81

(2x+9)(2x-9)

300

Factor Completely: 9x² - 25y²

(3x+5y)(3x-5y)

400

Factor Completely: 4x² - 64

4(x+2)(x-2)

500

Factor Completely: 12x³ - 75x

3x(2x+5)(2x-5)