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Solving Equations

100

Solve for x:

6x-8-6-8x = 4

x=-9

200

Solve for x:

-8(x+8)=-56

x=-1

300

Solve for x:

6(x+8)-2x = 4(x+12)

infinitely many solutions

400

Solve for x:

4/x =12/24

x=8

500

Solve for x:

3/x = 9/(x-4)

x= -2

Linear Equations

100

Find the slope of the line passing through (2,-7), (4,-5)

m=1

200

The slope of a vertical line is_____

undefined

300

Equation of a line that passes through (10,-8) and has slope 2/5

y=2/5x-12

400

Write an equation of a line that passes through (2,11) and (0,5)

y=3x+5

500

Write an equation for a line that passes through (-6,7) and is perpendicular to y=1/4x-1

y=-4x-17

Functions

100

The collection of all input values is called the______

Domain

200

Determine whether a function or not:

(6,3) (3,1) (0,2) (3,4)

Not a function

300

Find f(-3) when f(x)= 10x+3

f(-3)= -27

400

Find the value of x so that the function has the value y=9.

f(x)=x+12

x=-3

500

How do I determine a function by looking at a graph?

The vertical line test

Systems of Equations

100

Solve the system of equations:

y=x-7

y=x+4

No Solution

200

Solve the system of equations:

y=x-1

y=-1/4x+4

(4,3)

300

x+4y=0

3x+2y=20

(8,-2)

400

3x+3y=9

5x+4y=10

(-2,5)

500

6x-5y=-45

2x+2y=-4

(-5,3)

Factoring

100

Factor:

3x+12

3(x+4)

200

Factor:

x²+3xy

x(x+3y)

300

Factor:

x²-64

(x-8)(x+8)

400

Factor:

25x²-49y²

(5x-7y)(5x+7y)

500

Factor:

3y²-15y+12

3(y-4)(y-1)