Equations
Number of Solutions
Proportional Relationships
y = mx
Non Proportional Relationships
y = mx +b
100

Find the value of x in the equation 5 (x - 2) = 3x + 10 

x = 10

100

How many solutions does the equation have? 


4x + 7 = 4x + 7 

Infinite solutions 

100

A store sells 3 notebooks for $6. What is the constant of proportionality 

2 dollars per notebook 

100

In the equation y = 3x +5. What is the y-intercept?

5

200

Find the value of x in the equation 4x + 7 = 2x + 17 

x = 5

200

How many solutions does the equation have? 

3(x - 2) = 3 x + 5 

No solution 

200

In the equation y = 3/5x, what is the slope? 

3/5

200

The equation y = -2x + 4. What is the slope? 

-2

300

Find the value of x in the equation 2(x + 4) +3x = 5x - 6 

x = 14

300

How many solutions does the equation have? 

5x - 8 = 2x + 13 

one solution 

300

A proportional relationship passes through the point (8,56). Write the equation in the form y = mx 

y = 7x

300

A line has a slope of 5 and a y-intercept of -2. Write the equation of the line. 

y=5x - 2 

400

3/4 (x + 8) - 2 = 1/2 (x - 4) +7

x = 16 

400

How many solutions does the equation have? 


4(x+3) - 2x = 2(x+6)  

Infinite solutions 

400

A proportional relationship passes through (12,-18). Write the equation in the form y = mx 

y = -1.5x

400
The line passes through (0,8) and (2,14). Write the equation in the form y = mx + b. 

y = 3x + 8 

500

- 1/2 (x + 4) +3 = 1/4x - 6 

x = 20/3 

500

How many solutions does the equation have? 


6(x - 2) + 4 = 3(2x+1) - 5 

no solution 

500

The equation is: 

y = 7/4x 

If y = 49, what is x?

28

500

A gym charges a $25 sign-up fee plus $15 per month. Write an equation that represents the total cost y after x months. 

y = 15x + 25