Mixed Review

Factoring and Solving

100

Factor:

16x + 24x^2y

8x(1 + 3xy)

200

Solve:

2m^2 - 50 = 0

m = 5, m = -5 

300

Solve:

2n^2 - 4n - 70

n = -5, n = 7 

400

Factor:

3x^2 + 30xy + 27y^2

3(x + 9y)(x +y)

500

Factor:

3x^2y + 2x^2 - 8 - 12y

(3y + 2)(x - 2)(x +2)

Multiplying Polynomials

100

Simplify:

(n + 4)(n - 4)

n^2 - 16

200

Multiply:

4x(3x^2 - 12xy)

12x^3 - 48x^2y

300

Multiply:

(n + 2)^2

n^2 + 4n + 4

400

multiply:

- 1/2xy( 6x^3 - 12x^5y + 8)

-3x^4y + 6x^6y^2 - 4xy

500

Multiply and Simplify

2(4x^2y - 8x) - 4x(3xy - 2)

-4x^2y - 8x

Equations

100

Solve:

3x + 4(7x - 4) = 139

x = 15

200

Solve:

3x + 6(x - 8) = -129

x = -9 

300

Solve:

2x - 2(7x + 18) = -96 

x = 5 

400

Solve:

-6x - 4(-3x - 4) = -20 

x = -6 

500

Solve:

1/2(4x + 2) - 2/3(6x + 9) = 13

x = -9

Add/Subtract Fractions

100

Add:

3/5 + 1/3

14/15

200

Subtract

9/10 - 3/4

3/20

300

Add, answer must be written as a mixed number

3 3/4 - 2 1/5

1 11/20

400

Add, write your answer as a mixed number in simplest form.

4 3/4 + 5 2/3

10 5/12

500

Subtract, write your answer as a mixed number in simplest form. 

5 1/4 - 2 3/10

2 19/20

Factoring

100

Factor:

4x^2y + 14xy - 18y

2y(2x + 9)(x - 1)

200

Factor:

12x^2 - 43x +10

(4x - 1)(3x - 10)

300

Factor:

x^3 - x^2y - xy^2 + y^3

(x + y)(x-y)^2

400

Factor:

2x^5y - 14x^3y - 36xy

2xy(x^2+2)(x+3)(x−3)

500

Factor:

4x^3 - 12x^2y - 9x + 27y

(x - 3y)(2x - 3)(2x+3)