A2S Solving Quadratic Equations

Solve by Factoring

100

Use the Zero Product Property to solve the following quadratic equation. 

(x - 7)(x + 2) = 0

x = 7 , -2

200

Solve the following quadratic equation by factoring. 

x² + 3x + 2 = 0

x = -2 , -1

300

Solve the following quadratic equation by factoring.

 x² - 6x + 5 = 0

x = 5 , 1

400

Solve the following quadratic equation by factoring. 

x² - 6x - 27 = 0

x =9, -3

500

Solve the following quadratic equation by factoring. 

2x² - 5x - 3 = 0

x = -1/2 , 3

Equations with Fractional Coefficients

100

Solve the following equation: 

⁶/₇+³/₂x=⁸/₇

x = ⁴/₂₁

200

Solve the following equation: 

-¹/₂-¹/₂x=¹/₂

x=-2

300

Solve the following equation: 

-²/₃+3x=⁵/₆

x = ¹/₂

400

Solve the following quadratic equation by using square roots: 

²/₃+¹/₄x=²/₅

x=-¹⁶/₁₅

500

Solve the following equation: 

⁴/₃-²/₅x=⁸/₃

x = -¹⁰/₃

Evaluating Functions

100

f(x)=x+2

find f(3)

f(3)=5

200

h(x)=7-2x

solve for x when h(x)=15

x=-4

300

f(x)=5-x

Find f(-8)

f(-8)=13

400

h(x)=-x²⁺2x+5

find h(-4)

h(-4)= -19

500

g(x)=x²-6x-18

Solve for x when g(x)=9

x=9,-3

Exponents

100

(5gc³)(2g⁵c)³

40g¹⁶c⁶

200

9u⁸y³ / 6u⁵y⁷

3u³ / 2y⁴

300

3p² / (2p)⁴

3 / 16p²

400

(3k⁴)⁵ / -15k¹⁰

81k¹⁰ / -5

500

15qy⁸ / 3(y^-1)²

5y¹⁰q

Multiplying Polys

100

(x-7)(x+2)

x²-5x-14

200

(x+1)(x+2)

x²+3x+2

300

(2x+1)(x-3)

2x²-5x-3

400

(x+2)(x²-5x+3)

x³-3x²-7x+6

500

(-3x-5)(3x²+x-1)

-9x³-18x²-2x+5