Linear Equations and Systems of Equations

Slope-Intercept Form

100

What is the y-intercept of the following equation?

y=2x+3

3

200

What is the slope of the following equation?

y=4x-3

4

300

What is the slope of the following equation?

y=1/3x-2

1/3

400

Will the line increase or decrease? Explain.

y=1/2x-4

Increase because the slope is positive. 

Standard Form

100

Which equation is in standard form?

1. 3x+2y=6

2. y=4x+2

1. 3x+2y=6

200

What is the y-intercept for the following equation?

3x+2y=6

y-intercept=3

300

What is the x-intercept of the following equation?

5x+2y=10

x-intercept=10

400

MC is moving to a new house and needs to buy more forks and knives. Each fork in Target costs $5, and each knife costs $4. She only has $36 to spend. Write an equation to represent the situation. 

5x+4y=36

Or whatever variables you used for forks and knives.

Rewriting Equations

100

Rewrite the following equation into standard form. 

-x+y=3

y=x+3

200

Rewrite the following equation in slope-intercept form.

4x+4y=8

y=-x+2

300

Rewrite the following equation into slope-intercept form.

 2x+4y=16

2x+4y=16

400

Rewrite the following equation in slope-intercept form. 

-2x+18y=36

y=1/9x+2

Systems of Equations

100

If the lines are parallel, how many solutions are there?

None

200

How many solutions can a system of equations have?

One, none or infinite.

300

How many solutions with the following equations have?

y=3x-1 

y=2x-2

One

400

How many solutions does the following system of equations have. 

2x-3y=6

y=2/3x-2

Infinite. They are the same equation! 

500

A customer at the mall is shopping for birthday gifts and is considering having them wrapped. He can get them wrapped at the department store, which charges $6 per gift. Alternatively, the customer can pay his friend a flat fee of $30 to wrap all of his gifts. Which is the cheaper option?

Charge $6 per gift if you have 5 gifts or less. More than 5 gifts, pay the flat fee.