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Graphs
Solving Systems
Word Problems
All, Some, or None
100

Which equation represents a proportional relationship?

A) y=mx+b 

B) Ax+By=C 

C) y=mx 

D) y=b 

C

y=mx

100

Graph the equation 

y=2x

100

Solve the system of equations.

y=x-3

y=-x+5

(4,1)

100

Mt. Laguna got 26 inches of snow overnight. Every hour, 1.5 inches of snow melts. How long will it take for the snow to melt to 14 inches? 

8 hours

100

How many solutions does this system of equations have?

Infinite solution

200

Identify the slope and y-intercept of the equation 

y=4x-7

Slope = 4

y-intercept = -7

200

Graph the equation 

y=-1/3x+2

200

Solve the system of equations. 

y=-2x+9

y=4x-3

(2,5)

200

Mary and Kevin are each saving money.

- Mary starts with $80 and saves $12 every week.

- Kevin starts with $120 and saves $5 every week. 

After 5 weeks, who has more total money? 

Kevin saved more.

Mary saved $140

Kevin saved $145

200

How many solutions does this system of equations have?

No solution 

300

What is the slope of the line  x=3 ?

No slope

Undefined

300

Write an equation for the graph

y=1/2x-1

300

Solve the system of equations.

y=1/2(8x-4)

y=3x+9

(11, 42)

300

Vicente and Dennis are each saving money.

- Vicente starts with $75 and saves $10 every week.

- Dennis starts with $90 and saves $5 every week. 

When will they have the same total amount saved? How much money with they have?

They will both have $105 saved at week 3.

300

How many solutions does this system of equations have?

y=2x-8

y=2(x-4)

Infinite solutions

400

Identify the slope of the graph. 

1/5

400

Write an equation for the graph

y=-3x+7

400

Solve the system of equations. 

13x-5y=7

y=2x+1

(4,9)

400

A car is traveling 85 mph. A truck is 12 miles a head going 65 mph. How long will it take for the car to catch up to the truck? 

0.6 hours or 36 minutes

400

How many solutions does this system of equations have?

y=1/3(9x+18)

y=3x-18

No solution

500

Identify the slope and y-intercept of the graph.

Slope =  -1/3 

y-intercept = 4

500

Solve by graphing the system of equation

y=1/2x+2

y=-1/4x+5

500

Solve the system of equations. 

6x+2y=12

x-2y=-5

(1,3)

500

A piggy bank hold $4.50 worth of quarters and nickels. If there are 38 coins total, how many quarters and nickels are there? 

13 quarters and 25 nickels

500

How many solutions does this system of equations have?

-9x+9y=4

y=-x+13

One solution