Solving
Graphing
Slope
Systems
Key Features
100

Solve the equation 

(x+2)/5=10

25

100

Draw the shape of a linear function

A line

100

Find the slope of the graph: 

2/3

100

Identify the solution to the system graphed: 

(-3, -1)

100

Identify the slope and y-intercept from the equation: 

f(x)=10x+2

y-int=2, m=10 

200

Solve the equation: 

2(x+3)=3(2x-5)

21/4


200

Draw a sketch of the function 

x^2

u shape 

200

Find the slope using the two points. 

(2, 3), (5, 9)

2

200

Identify where  f(x)=g(x) 

(-1, 1)

200

Identify the slope and y-intercept of the graph: 

2/3, 1

300

Solve the inequality: 

-2/3x>10

x<-15

300

draw a sketch of an absolute value function

v shape

300

Calculate the slope using 

f(3)=-5, f(-2)=4

-9/5

300

Solve. 

x-y=4

x=21/5, y=1/5

300

Identify if this is a function and how you know. 

yes, passes vertical line test 

400

Solve. 

abs(2x+3)=-7

No solution

400

Draw a shape of the function 

f(x)=x

a line

400

Identify the slope from the equation: 

y=-5x+10

-5

400

Find  f(x)=g(x)  when  f(x)=y=3x-7, g(x)=-1/2x+5/2 

x=19/7, y=16/7

400

Which coordinate would you need to take out to make this a function? 

(0, 1), (2, 5), (8, 9), (10, 9), (-2, 5), (2, 5), (0, 10)

(0, 10) OR (0, 1) 

500

Solve. 

abs(2x+3)=abs(4x-5)

4, 2/6 or 1/3

500

Draw a shape of the function 

y=abs(x)

v shape

500

Identify the slope from the equation: 

2y+4x=3

-2

500

What would the first step be for solving this by elimination? 

-4x+6y=-10, 4x+2y=1

Add the equations

500

Identify all positive intervals: 

(-3, -1), (2, inf)