Math project: by Pablo and chase

Quadratics

100

(x+3)(x+1)=0

x=[-3,1]

200

x²-8x=0

x=[0,8]

300

x²-10x+49=4x+1

x=[6,8]

400

5x²+8x=-3

x=[-1,-3/5]

500

2x²+7x-9=0

x=[1,-9/2]

Factoring

100

21cd-3d

3d(7c-1)

200

5x-7y

prime

300

3x³+30x²+63x

3x(x+7)(x+3)

400

200b³-162b

2b(10b+9)(10b-9)

500

20x²-52x-24

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

Radicals

100

√75

5√3

200

5 ³√40

2 ³√5

300

√x⁴

x²

400

√288x¹³y⁸

12x⁶ y⁴√2x

500

3√2 • 5√26

30√13

Law of Exponents

100

zero rule

x⁰=1

200

(2x⁴)² • 3x³

4x⁸ • 3x³ = 12x¹¹

300

negative exponent rule

x^-a=1/x^a

400

Power rule

(x^a)^b=x^a•b

500

(3x³y)²•3x

9x⁶y²•3x-27x⁷y²

System of Equations

100

A system of equations is a set of how many equations?

Two

200

The solution of a system of equations is an order pair that makes both equations what?

Makes both equations true

300

x + 4y = 13

x - y = 3

(5,2)

400

3x + 3y = 9

5x + 4y = 10

(4, -2)

500

The cost of 12 oranges and 7 apples is $ 5.36. Eight oranges and five apples cost $ 3.68. Find the cost of an apple and an orange.

apple = $ 0.26

orange =$ 0.32