Topics 12, 15, and 14 Review

Exponent Rules

100

x⁴ * x⁶

x¹⁰

200

(3y²)⁰

1

300

(2xy³)³

8x³y⁹

400

(4x^-6y¹²)/(12x⁴y²)

y¹⁰/(3x¹⁰)

500

(44x^-5y¹²¹)/(99x⁴²y²⁸)

(4y⁹³)/(9x⁴⁷)

Add/Subtract Polynomials

100

(4x³-2x²+7)+(x³+5x-6)

5x³-2x²+5x+1

200

(2x²+3x+3)+(-5x²+x-4)

-3x²+4x-1

300

(8x²-9x-10) - (3x²+7x-8)

5x²-16x-2

400

(12x²+20x-7) - (10x²-3x+6)

2x²+23x-13

500

Find the perimeter of the triangle that has the following side lengths:

3x²-1

2x²+7x-13

x²+3x+1

6x²+10x-13

Multiply Polynomials

100

2x(x+7)

2x²+14x

200

(x+5)(x-3)

x²+2x-15

300

(2x-3)(2x+3)

4x²-9

400

(5x-2)(x-8)

5x²-42x+16

500

(3x+6)²

9x²+36x+36

Factor Trinomials

100

x²+12x+32

(x+4)(x+8)

200

x²-49

(x+7)(x-7)

300

3x²+14x-5

(3x-1)(x+5)

400

4x²-20x+25 

(2x+5)(2x-5)

500

5x²+55x+150

5(x+5)(x+6)

Graph Quadratics in Standard Form

100

Find the y-intercept:

y=x²+2x+4

(0,4)

200

Find the axis of symmetry:

y=x²+2x+4

x = -1

300

Find the vertex:

y=x²+2x+4

(-1,3)

400

Graph:

y=x²-4x+4

Vertex (2, 0)

A.O.S.: x = 2

y-int.: (0,4)

Opens up

500

Graph:

y=-x²-6x-3

Vertex (-3, 6)

A.O.S.: x = -3

y-int.: (0, -3)

Opens down