Algebra Skills Review

Combining Like Terms

100

Simplify

3x-7+5x+2

8x-5

200

-7y-2x-5x+3y

-7x-4y

300

Simplify

3x²-5x+2y

3x²-5x+2y

400

Simplify

-14x+12x-7x+5x-2-4x

-8x-2

500

Simplify 

-24y+17+2y-10+12y-3+5y-4+5y

0

Distributive Property

100

3(x-2)

3x-6

200

2x(x-7)

2x²-14x

300

2-(4x+3)

-4x-1

400

7+4x(x²+5)

4x³+20x+7

500

4-3x(2x²+12x-5)

-6x³-36x²+15x+4

Multiplying Polynomials

100

(x+3)(x+2)

x²+5x+6

200

(x-3)(x-4)

x²-7x+12

300

(2x-5)(x+3)

2x²+x-15

400

(2x+7)(2x-7)

4x²-49

500

(x+3)(x²+3x-6)

x³+6x²+3x-18

Factoring out a common factor

100

Factor

3x-6

3(x-2)

200

Factor

12x²+8x

4x(3x+2)

300

Factor

9x²-4x

x(9x-4)

400

Factor

4x³+18x²-22

2(2x³+9x²-11)

500

3ab²-18a²b²-21a²b

3ab(b-6ab-7a)

Factoring Quadratic Expressions

100

Factor into 2 binomials

x²+7x+12

(x+3)(x+4)

200

factor into 2 binomials

x²-2x-8

(x+2)(x-4)

300

factor into 2 binomials

x²-14x+45

(x-9)(x-5)

400

factor into 2 binomials

x²-81

(x+9)(x-9)

500

Factor into 2 binomials

2x²-x-6

(2x+3)(x-2)