Quadratics

Multiplying algebraic expressions

100

Simplify:

3x² (5x³)

15x⁵

200

4x (2x - 3)

8x²-12x

300

Simplify

2x (3x - 4) + 5x  

6x² - 3x

400

Multiply:       6⁷(6^-7)

Express answer in standard form

1

500

Multiply

13x² (7x^-8)

51x^-6

Multiplying binomials

100

multiply:

(x + 4)(x - 3)

x² + x - 12

200

Multiply:

(x - 6)(x + 8)

x² + 2x - 48

300

Multiply

(2x - 3)(x + 5)

2x² + 7x - 15

400

Multiply 

(3x + 7)(2x - 1)

6x² + 11x - 7

500

Multiply:

(2x + 4)(3x² - 5x + 7)

6x³ - 2x² - 6x + 28

G.C.F. factoring

100

Factor:

2n² - 8n

2n (n - 4)

200

Factor

4x³ - 2x² + 12x

2x (2x² - x + 6)

300

What is the G.C.F. of...

16x²y⁴ - 8xy² + 24xy⁶

8xy²

400

Factor 

16x²y⁴ - 8xy² + 24xy⁶

8xy²(2xy² - 1 + 3y⁴)

500

Solve for both answers

2x² - 4x = 0

x = 0 and x = 2 

Factoring Trinomials

100

factor

x² + 10x + 16

(x + 8)(x + 2)

200

Factor

x² - 20x + 36

(x - 18)(x - 2)

300

factor

x² - 5x - 24

(x - 8)(x + 3)

400

Factor 

x² - 36 

(x+6)(x-6)

500

Factor 

6x² - x - 12

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

Solving Quadratics

100

Solve for both answers

x² = 16

x=-4 and x=4

200

Find both answers

x² - 25 = 0

x=-5 and x=5

300

Solve for both answers

x² - 13x + 36 = 0

x=4 and 9

400

Find both answers

x² + 13x - 48 = 0 

x = -16 and x = 3

500

Find all 3 answers

2x³ + 4x² - 30x = 0

x=0,x=-5, and x=3