Pre-Cal Fundamentals Review

Factoring

100

Factor

x²-4

(x-2)(x+2)

200

Factor

20x²y³+5xy⁴

5xy³(4x+5y)

300

Factor

x²-13x+12

(x-1)(x-12)

400

Factor

2x²+7x+5

(x+1)(2x+5)

500

Factor

20x²-66x-14

2(5x+1)(2x-7)

Exponent Rules

100

Simplify

3x⁴y² * 4x³y⁷

12x⁷y⁹

200

Simplify

(4a⁵b³)⁴

256a²⁰b¹²

300

Simplify

36x⁶y³z/6x⁴y

6x²yz

400

Simplify. 

No Negative Exponent in answer.

(2x⁰y^-1z⁵)⁴

16z²⁰/y⁴

500

Simplify. 

No Negative Exponent in answer.

5x¹⁰y⁴z¹⁶/25x⁸y⁵z¹⁸

1x²/5yz²

Polynomial Operations

100

Simplify

(6x²-5+3xy) + (3x²-4xy)

9x²-xy-5

200

Simplify

(3x³+3x²+9) - (5x³ - 7x² +6x -9)

-2x³ + 10x² -6x +18

300

Multiply

(x+4)²

x²+8x+16

400

Multiply

(-9x³y)(-8x²y³)

72x⁵y⁴

500

Multiply

(2x-5)(5x²+4x+7)

10x³-17x²-6x-35

Solving Equations

100

Solve

2x + 3 = -7

x = -5

200

Solve

3x + 4 = 4x +6

x = -2

300

Solve

-5x + 4 = -4x +9

x = -5

400

Solve 

-2(x-1)-4x+4 = 42

x = -6

500

Solve

-3(2x-6) = -5 - (x-8)

x = 3

Evaluating Functions

100

Evaluate

h(x)= - x - 5  , h(3)

h(3) = -8

200

Evaluate

f(x) = 2x²-6 ,  f(7)

f(7) = 92

300

Evaluate

f(x) = -x²-5, f(-1)

f(-1) = -6

400

Evaluate

g(x) = 2x³ + 3x -4 , g(2)

g(2)=18

500

Evaluate

h(x) = 4x³-3x²+5x+12, h(-1)

h(-1) = 6