Algebra Review

Simplifying Polynomials

100

Combine Like Terms

3x+ 4y + 5x + 8y

8x + 12y

200

Combine Like Terms

(3x² + 7x -4) - (8x² - 5x + 7)

-5x² +12x - 11

300

Combine Like Terms

7x + 4x² + 5x + 9x²

12x + 13x² 

400

Simplify

(9x² + 6x + 5) + (3x² - 5x - 9) 

12x² + x - 4 

500

Simplify

3√2 + 5√7 + 8√2 + 3√7

11√2 + 8√7

Distributive Property

100

Solve

7x(x² + 2x -3) 

7x³ + 14x² - 21x

200

Solve

(3x - 4)(2x +7)

*Hint: FOIL

6x² + 13x -28

300

Solve

(2x - 5)(4x +7)

8x² -6x -35

400

Solve

5x²(3x⁴ - 6x³ +5x - 8)

15x⁶ - 30x⁵ + 25x³ - 40x²

500

Solve

(2x-3)²

4x² - 12x + 9

Exponents

100

Solve

x³ ⋅ x⁴

x⁷

200

Solve

x⁹/x⁴

x⁵

300

Solve

(x⁷)⁶

x⁴²

400

Solve

x⁴/x⁷

x^-3 or 1/x³

500

Solve

(3x⁴y⁵)(5x⁶y⁷)

15x¹⁰y¹²

Solving Linear Equations

100

Solve

3x +5 = 11

x = 2

200

Solve

2(x - 1) + 6 = 10

x = 3

300

Solve

5 - 3(x+4) = 7 + 2(x-1) 

x = -12/5

400

Solve

2/3x + 5 = 8

x = 9/2

500

Solve

x² - 25 = 0

x = 5 or -5

Factoring

100

Factor and Solve

2x² - 18 = 0

x = 3 

x = -3

200

Factor and Solve

3x² - 48 = 0

x = 4

x = -4

300

Factor and Solve a Trinomial

x² - 5x +6

x = 3 and x = 2

400

Factor and Solve a Trinomial

x² - 2x - 15

x = 5 and x =-3

500

Factor and Solve

x² + 3x - 28

x = -7 and x=4