Conversion to and from slope-intercept
Solutions and Coordinates
Word Problems
X- and Y- intercepts
Graphs and Tables
100

Convert to standard form: y=x+5



x-y=-5

100

Given: 6x-7y=42

Is (1,1) a solution?

No

100

A store sells gift cards in preset amounts. You can purchase gift cards for $10 or $25. You have spent $285 on gift cards. Write an equation in standard form to represent the situation. 

10x+25y=285


100

Find the x intercept of x+y=9.  Write as an ordered pair. 

(9,0)


100

Write the x - intercept as an ordered pair. 

(-2,0)

200

Convert into standard form: y=3x+4.

3x-y=-4

200

Given: 5x-2y=4

When y = 3 what is the value of x?

2

200

You are preparing a fruit salad. You want the total carbohydrates from pineapple and watermelon to equal 24g. Pineapple has 3g of carbohydrates per ounce and watermelon has 2g of carbohydrates per ounce. Write an equation in standard form and list two possible solutions.

x=pineapple

y=watermelon

3x+2y=24


200

Find the y intercept of: x-2y=2. Write as an ordered pair. 

(0,-1)

200

Write the y- intercept as an ordered pair. 

(0,3)

300

Convert into standard form: y=-2x+1.

2x+y=1

300

Given: 2x+y=5

When x =1 what is the value of y?

3

300

Suppose your school is having a talent show to raise money. You think that 200 students and 150 adults will attend. It will cost $200 to put on the talent show. What is an equation that describes the ticket prices you can set for students and adults to earn $1000?

x=students

y=adults

200x+150y=1200


300

Find the x intercept of: -3x+3y=7.  Write as an ordered pair.

(-7/3,0)

300

Given following ordered pairs, identify the x-intercept

(1,0)

(0,1)

(2,-1)

(1,0)

400

Convert to slope-intercept: 3x+4y=20.

**Solve for y***

y=-3/4x+5

400

Given:

9x+2y=-4

(?, 8)

? = -20/9

Or  -2 2/9

Or -2.2 repeating

400

A media download store sells songs for $1 and movies for $12. You have $60 to spend. How many movies can you download if you don't want any songs?

x=songs

y=movies

x+12y=60

0 songs, 5 movies

400

Find the x intercept of: 3x-5y=-20.

(-20/3,0) or (-6 2/3,0) or (-6.6, 0)

400

Given following ordered pairs, identify the x-intercept

(0,-2)

(0,-1)

(0,0)

(0,0)

500

Convert to slope-intercept: x+10y=15

**Solve for y**

y=1/10x+2/3

500

Given:

7x+3y=-8

(1/3, ?)

-31/9 

Or
-3 4/9

Or

-3.4 repeating

500

A store sells T-shirts for $12 each and sweatshirts for $15 each. You have $120 to spend. How many T-shirts can you buy if you buy 4 sweatshirts?

 5 shirts

500

Find the x and y intercepts of: 7x-y=21

(3,0)

(0,-21)

500

Write two equations for the two lines shown. 

y=-2

x=6