Graphing
Word Problem #1
Word Problem #2
100
When graphing a system of equations, the solution lies at the point of ______________?
What is "intersection"?
100
A couple of friends decide to race each other. Eliana can run 4 yards per second, whereas Christina can run 8 yards per second. Because she is slower, Eliana also gets a head start of 40 yards. Shortly after they start running, Christina will catch up to Eliana. How long will that take?
Identify the variables x & y for this word problem.
x= seconds
y=yards
100
Cindy and her friend Francesca are knitting scarves for the homeless. Cindy had already completed 30 scarves and has committed to making 5 more scarves per day. Francesca, who has completed 10 scarves and can make 10 scarves per day. At some point, Francesca will catch up and they will both have completed the same number of scarves. How long will that take?
Write the x & y variables for this problem.
x= days
y= number of scarves
200
What does a system of linear equations, with no solution, look like?
What is "parallel lines"?
200
A couple of friends decide to race each other. Eliana can run 4 yards per second, whereas Christina can run 8 yards per second. Because she is slower, Eliana also gets a head start of 40 yards. Shortly after they start running, Christina will catch up to Eliana. How long will that take?
x= seconds
y= yards
Make a linear equation to represent Christina's distance traveled over time.
y = 8x
OR
y=8x+0
200
Cindy and her friend Francesca are knitting scarves for the homeless. Cindy had already completed 30 scarves and has committed to making 5 more scarves per day. Francesca, who has completed 10 scarves and can make 10 scarves per day. At some point, Francesca will catch up and they will both have completed the same number of scarves. How long will that take?
x= scarves
y=days
Write a linear equation that represents the speed at which Cindy makes scarves.
y = 5x + 30
300
What do the linear equations, in a system, share if their point of intersection is "no solution"?
What is "the same slope"?
300
A couple of friends decide to race each other. Eliana can run 4 yards per second, whereas Christina can run 8 yards per second. Because she is slower, Eliana also gets a head start of 40 yards. Shortly after they start running, Christina will catch up to Eliana. How long will that take?
x= seconds
y= yards
Make a linear equation to represent Eliana's distance traveled over time.
y=4x+40
300
Cindy and her friend Francesca are knitting scarves for the homeless. Cindy had already completed 30 scarves and has committed to making 5 more scarves per day. Francesca, who has completed 10 scarves and can make 10 scarves per day. At some point, Francesca will catch up and they will both have completed the same number of scarves. How long will that take?
x= scarves
y=days
Write a linear equation that represents the speed at which Francesca makes scarves.
y = 10x + 10
400
What does a system of linear equations, with infinitely many solutions, look like when graphed?
What is "the same line multiple times"?
400
DAILY DOUBLE:
A couple of friends decide to race each other. Eliana can run 4 yards per second, whereas Christina can run 8 yards per second. Because she is slower, Eliana also gets a head start of 40 yards. Shortly after they start running, Christina will catch up to Eliana. How long will that take?
x= seconds
y= yards
Graph both lines and state the point of intersection.
(Use the graph given)
1st equation: y = 8x
2nd equation y = 4x + 40
Answer will be checked by the teacher on the graph. 
400
DAILY DOUBLE:
Cindy and her friend Francesca are knitting scarves for the homeless. Cindy had already completed 30 scarves and has committed to making 5 more scarves per day. Francesca, who has completed 10 scarves and can make 10 scarves per day. At some point, Francesca will catch up and they will both have completed the same number of scarves. How long will that take?
x= scarves
y=days
1st equation: y=5x+30
2nd equation: y=10x+10
(4, 50)
500
To name the solution of a system of linear equations, with one solution, what would you use?
What is "an ordered pair"?
500
A couple of friends decide to race each other. Eliana can run 4 yards per second, whereas Christina can run 8 yards per second. Because she is slower, Eliana also gets a head start of 40 yards. Shortly after they start running, Christina will catch up to Eliana. How long will that take?
Explain what the point of intersection means in the context of the problem.
It will take 10 seconds for Christina to run 80 yards and catch up to Eliana.
500
Cindy and her friend Francesca are knitting scarves for the homeless. Cindy had already completed 30 scarves and has committed to making 5 more scarves per day. Francesca, who has completed 10 scarves and can make 10 scarves per day. At some point, Francesca will catch up and they will both have completed the same number of scarves. How long will that take?
x= scarves
y=days
1st equation: y=5x+30
2nd equation: y=10x+10
Explain what the point of intersection (4,50) means in the context of the problem
After 4 days, both Cindy and Francesca will have knitted 50 scarves.