MTH 121 Exam Review

Simplifying Exponents

100

x^3*x^5

x^8

200

a^4/a^9

1/a^5

300

(2x^3y^2)^2

4x^6y^4

400

(x^-3y^4)/(x^2y^-2)

y^6/x^5

500

(2x^-2y^3)^2/ (4x^-5y^-1)

xy^7

Expanding & SimplifyingPolynomials

100

3(x+4)

3x+12

200

(x+3)(x+5)

x^2+8x+15

300

(5x+8)(5x-8)

25x^2-64

400

(4x-3)(2x^2+5x-7)

8x^3+14x^2-43x+21

500

(6x-5)^2

36x^2-60x+25

Factoring Polynomials

100

6x^2+9x

3x(2x+3)

200

x^2+7x+12

(x+3)(x+4)

300

x^2+10x+25

(x+5)^2

400

2x^2+7x+6

(2x+3)(x+2)

500

6x^3+18x^2+5x+15

(x+3)(6x^2+5)

Solving Quadratic Equations

100

SOLVE BY FACTORING:

x^2+2x-15=0

x=3

x=-5

200

SOLVE BY FACTORING

2x^2-7x-15=0

x=5

x=-3/2

300

SOLVE BY COMPLETING THE SQUARE

x^2-8x-10=0

x=4+-sqrt(26)

400

SOLVE USING QUADRATIC FORMULA

3x^2+5x-7=0

x=(-5+-sqrt109)/6

500

SOLVE BY COMPLETING THE SQUARE

4x^2-12x-7=0

x=7/2,-1/2

Mixed Topics (Double Points)

100

SIMPLIFY

((6x^-2y^3)^2(3x^4y^-1)) / (18x^2y^2)

(6y^3) / x^2

200

EXPAND

(4x - 7)(3x^2 + 5x - 6)

12x^3 - x^2 - 59x + 42

300

FACTOR COMPLETELY

12x^2 - 17x - 5

(3x - 5)(4x + 1)

400

SOLVE BY COMPLETING THE SQUARE

7x^2 - 42x - 19 = 0

x = 3 ± sqrt(82/7)

500

SIMPLIFY COMPLETELY

[(x^2 - 25)(x^2 + 6x + 9)] / [(x^2 + 10x + 25)(x + 3)]

((x - 5)(x + 3)) / (x + 5)