Math 1 Fall Final Review

Functions

100

Given f(x)=3x-1, find the output of f(3).

 8

200

Given f(x)=4x-1, find the output of f(-1).

 -5

300

How can you tell if a graph, table or equation is a function?

Each input has only one output or it passes the vertical line test.

400

Given f(x)=3x²-4x+5, find the output of f(-2).

25

500

Given f(x)=-3x-4, find the input when f(x)=8

-4

Exponents

100

Simplify x⁶x⁷

x¹³

200

(15x²y⁵)⁰

1

300

(a^12b^4)/(ab^3)

a¹¹b

400

x³y^-7

x³/y⁷

500

2(4a⁵b³)²

32a¹⁰b⁶

Linear Functions

100

identify the slope and y-intercept of

y=-3x+9

slope = -3

y-int = (0,9)

200

Write the equation of the line going through the point (0,-8) and with a slope of  

-2/3 

y=-2/3 x-8

300

Find the slope between the points

(-5,4) and (-3,-2)

-3

400

Write the equation of the line that goes through the point (1,5) and has a slope of 9

y=9x-4

500

Write the equation of the line that goes through the points

(3,5) and (4,-4)

y=-9x+32

Multiply Polynomials

100

Make an area model to multiply.  Write you answer as a sum.

12(3y-2)

36y-24

200

Make an area model to multiply.  Write you answer as a sum.

(x+6)(x+7)

x²+13x+42

300

Make an area model to multiply.  Write you answer as a sum.

(x-5)(x+3)

x²-2x-15

400

Make an area model to multiply.  Write you answer as a sum.

(3x+7)(x-4)

3x²-5x-28

500

Make an area model to multiply.  Write you answer as a sum.

(6x+2)(x-y)

6x²-6xy+2x-2y

Solving Equations

100

Solve the equation

5x-x=-24

x=-6

200

Solve the equation

-7(2x-8)=168

x=-8

300

Solve the equation

(10x)/4+14/12=22

x=8.3333333

400

(10x)/4+6/10=5.75

Solve the equation

x=2.06

500

Solve the equation

4^(7x-3)=4^(2x+7)

x=2