Quarter 3 Review

Laws of Exponents

100

Simplify: (x⁴)³

x¹²

200

Simplify: (3x⁴)²

9x⁸

300

Simplify: 15x³  / (3x²)³

5 / 9x³

400

Simplify: (3x⁴y⁵)³

27x¹²y¹⁵

500

Simplify: -2(a⁵)³

-2a¹⁵

Factor by GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Factoring trinomials a=1

100

Factor: x²+8x+12

(x+6)(x+2)

200

Factor: m²-11m+18

(m-9)(m-2)

300

Factor: x²+5x-24

(x+8)(x-3)

400

Factor: y²-6y-7

(y-7)(y+1)

500

Factor: x²-x-56

(x-8)(x+7)

Factoring Trinomials a>1

100

Factor: 2x²+7x+3

(2x+1)(x+3)

200

Factor: 5n²+26n+5

(5n+1)(n+5)

300

Factor: 3x²-10x+7

(3x-7)(x-1)

400

Factor: 7x²-36x+5

(7x-1)(x-5)

500

Factor: 2x²-11x+5

(2x-1)(x-5)

Quadratics

100

What is the vertex of the following quadratic?

y=(x+1)²+9

(-1,9)

200

What is the vertex of the following quadratic?

y=x²-4

(0,-4)

300

Solve the following quadratic:

(x-1)(x+5)=0

x={-5,1}

400

Solve by factoring:

x² - x + 20=0

x={-4,5}

500

Solve by factoring.

5x²+2x=7

x={-7/5, 1}