Algebra B Final Review

Equations

100

Solve: x+2=15

x=13

200

Solve: 2x-13=15

x=9

300

Solve: 4x=3x-10

x=-10

400

Solve: 3(2x+5)=3

x=-2

500

Solve: 5(3x+1)=10x-25

x=-6

Polynomials

100

Simplify: 2y² * 3y⁹

6y¹¹

200

Simplify: 15y³x⁶/5yz²

3y²z⁴

300

Add: (3x+4) + (8x-10)

11x-6

400

Subtract: (2x²-4x+10) - (x²+8x+10)

x²-12x

500

Multiply: (3x-5)(2x+7)

6x²+11x-35

Functions

100

Is this relation a function?

{(1,2), (4,7), (2,7), (-1,2), (7,4)}

Yes - the x-values have exactly one y-value (they do not repeat!)

200

Given f(x)=x²-9x+10, find f(5).

f(5)=-10

300

Identify the type of function:  y=3x+1

Linear

400

Identify the type of function: (1,1), (2,4), (3,5), (4,4), (5,1)

Quadratic

500

Identify the type of function: y=2(0.5)^x+7

Exponential Decay

Factoring GCF

100

Factor: 2x+6

2(x+3)

200

Factor: 15x+25y

5(3x+5y)

300

Factor: 9x²-3x

3x(3x-1)

400

Factor: 36xy²-48x²y

12xy(3y-4x)

500

Factor: 63a³bc²-72a²bc

9a²bc(7ac-8)

Factoring Trinomials

100

Factor: x²+4x+3

(x+3)(x+1)

200

Factor: x²+9x+8

(x+8)(x+1)

300

Factor: x²-10x+25

(x-5)(x-5)

400

Factor: x²+11x-60

(x-15)(x+4)

500

Factor Completely: 2x³+10x²+8x

2x(x+4)(x+1)