Forms of Linear Equations

Writing Equations

100

Write an equation that passes through (2, 0) and has a slope of - 5.

y=-5x+10

200

Write an equation that passes through (0, -4) and (5, -3)

y= 1/5x-4

300

Write the equation of a line through point (9,-4), slope -2/3

y=-2/3x+2

400

Write an equation that passes through (2, -1) and is slope is 4.

y + 1 = 4(x - 2)

500

Write the equation of a line through (-4,0) and slope is 1/2

y =1/2x+2

Slope-Intercept

100

Find the slope of y = -3x + 2

m = -3

200

Find the intercept of the equation, y = ^-5⁄₃x - 4.

b = -4

300

A Caribbean nation produced 0.7 million tons of cane sugar. Annual production was projected to decrease by 0.05 million tons each year. Write an equation to model the situation.

y = 0.7 - 0.05x

400

Write the equation 5x - 4y = 20 in slope-intercept form.

y = ⁵⁄₄x - 5

500

Write a direct variation equation where y = 3 and x = 9.

y = (¹⁄₃)x

Standard

100

Find the y intercept of the equation, x + y = 3.

y = 3

200

Find the x intercept for the following equation, 3x + y = 9

x = 3

300

Find the x intercept of the equation, 8x - 4y = 16.

x = 2

400

Write an equation in standard form that passes through the points (0, -4) and (5, 3).

x - 5y = 20

500

Find the x intercept of the equation, 7x + 4y = 12.

¹²⁄₇

Writing Equations from Data

100

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  If Will spent $26, write and solve a linear equation to find how many songs he downloaded.

y = 0.95x + 7.95

19 songs

200

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing dogs and cats.  If 6 cats were washed and, write and solve a linear equation to find how many dogs were washed.

5x + 7.50y = 60

4 dogs were washed

300

For a new customer, a video store charges $10 for a rental card plus $2 per movie.  Write and solve a linear equation to find the cost for a new customer to rent 6 movies.

y = 2x + 10

$22

400

Keisha is catering a luncheon.  She has $30 to spend on a mixture of Cheddar and Swiss cheeses. Cheddar costs $3per pound and Swiss is $5 per pound. Write and solve the equation to see how much cheddar cheese she can buy if she buys 3 pounds of swiss.

30=3x + 5y

5 pounds of cheddar

500

Gianna wants to buy a new computer for $840.  She is considering two payment plans that require weekly payments.  Which plan will pay for the computer faster?  Write and solve a linear equation for each.

Plan A) $180 down and $60 per week payments

Plan b) $0 down and $70 per week payments

Plan A) y=60x+180                11 weeks to payoff

Plan B) y=70x                        12 weeks to payoff

Plan A is faster to payoff.

Disney Trivia

100

Name all 4 parks at Disney World. 

**Bonus Points if you can also name the 2 parks at Disney Land**

Magic Kingdom, EPCOT, Hollywood Studios, Animal Kingdom

**DisneyLand and California Adventure**

200

What new pixar movie is being released straight to Disney+ on Christmas day?

a) Rhythm and Blues

b) Soul

c) Frozen 2

d) Toy Story 5

b) Soul

300

What is the name of the restaurant and gaming place that Andy goes to in Toy Story?  The truck also makes an appearance in every Pixar movie.

Pizza Planet

400

What are the names of Ursula's pet eels?

a)Flotsam and Jetsam

b) Sparks and Rickson

c) Sebastian and Flounder

d) Buzz and Woody

a) Flotsam and Jestsam

500

How long was the Genie stuck in the lamp in Aladdin?

a) 400 years

b) 1000 years

c) 10,000 years

d) 1,000,000 years

c) 10,000 years