Line Equations
Graphs
Rates
100

True or False. The coordinate pair (2,3) is a point on the line 2x+4y=20.

False. 2(2)+4(3)=20

4+12=16, not 20.

100

 What is the missing number? (0, ____). Which intercept is it?

20. The y - intercept.

100

It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.

If she downloads 6 songs, how many albums can she buy?

3 Albums

200

Write the equation for the red line.

y=4

200

What is the coordinate pair of the x intercept on this graph? 

(5,0)

200

A sandwich store charges a $10 delivery fee and $4.50 for each sandwich. What is the total cost (sandwiches and delivery charge) if an office orders 7 sandwiches?

$41.50

300

Write an equation for the blue line.

x=-4

300

What is the slope of this line? 

-4

300

It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.

What equation represents how to solve for x songs and y albums?

0.5x+5y=15

400

Which sets of points are on the line 2x+4y=20?

(0,5)   (0,10)   (1,2)   (1,4)   (5,0)   (10,0)

(0,5) and (10,0)

400

Write an equation for this data, then answer how much money Priya will have left over if she buys 3 comics. 

(the equation is y=-4x+20) If x=3, then y=-4(3)+20. So y=8. Priya will have $8

400

Sally's Sandwiches uses the equation -4.5x + y = 10 to determine the customer's cost.

Bob's Deli uses the equation y = 4.5x + 5 to determine its customers' cost.

What conclusions can you make about the two sandwich shops in relation to each other? 

(You must have at least 2 answers to get this question correct.)

The rate of the two shops is the same.

Bob's Deli has a lower delivery fee ($5) than Sally's Sandwiches ($10).

On a graph, the two lines will be parallel.

500

Write the equation for the green line. 

y=x-1

500

For two weeks, the highest temperature each day was recorded in four different cities. Lines ℓ, m, n, and p are graphs of the temperature over time in Lubbock, Memphis, New Orleans, and Phoenix. What statement can you make about Memphis?

The high temperature in Memphis decreased steadily.

500

Which marathon runner has the fastest speed? Here's how they recorded their info:

Runner 1

Runner 2's distance, d in miles with time, t: t=8.5d

Runner 3:   Distance     Time (minutes)

                     2                 18

                     4                 36

                     6                 54


Runner 2

600

Write an equation for the black line. 

y=-2x+4

600

Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin. 

Draw a graph to represent this relationship. Remember to label your axes.

BONUS: Draw two different graphs to represent this data!

600

A truck is shipping jugs of drinking water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper towels weighs 16 pounds. The truck can carry 2,000 pounds of cargo altogether. Write an equation that can solve for any amount of these products.

BONUS: How many jugs of water can the truck hold if there are 50 cases of paper towels? AND How many cases of paper towels can the truck hold if there are 50 jugs of water?

jugs of water = w  & cases of towels = t

40w + 16t = 2000

30 cases of water and 50 cases of towels

50 cases of water and 0 cases of towels

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