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Systems Word Problems Graphing

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Systems Word Problems Graphing
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12 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

t: # of tacos
m: # of glasses of milk

t: Cost of each taco
m: Cost of each glass of milk

t: total cost
m: # of food items

t: Cost of each glass of milk
m: Cost of each taco

Tags

CCSS.8.EE.C.8C

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

t + n = 54
t = 3n + 8

t + n = 54
n = 3t + 8

t + n = 54
t = 3n - 8

t + n = 8
t = 3n + 54

Tags

CCSS.HSA.CED.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the solution?
(Hint:  Both lines are graphed over each other)

One Solution

No solution

Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a system of equations has infinitely many solutions, what does the graph look like?

intersecting lines

the same line

skew lines

parallel lines

Tags

CCSS.8.EE.C.8A

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A large pizza at Rocky Lake Pizza costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Rocky Lake is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

y = 6.80 + .65x y=7.30+.90x

x + y = 6.80 x + y = 7.30

y = 6.80+.90x y = 7.30 + .65x

y + .90x = 6.80 y + .65x = 7.30

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

CPA is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

1s + 3c = 38 2s + 3c = 52

3s + 1c = 38 3s + 2c = 52

s + c = 38 s + c = 52

3s + 3c = 38 1s + 2c = 52

Tags

CCSS.HSA.CED.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Kaleb graphed two lines in order to find the solution to a given system of equations. What is the solution?

(-3,-8)

(-8,-3)

(3,-8)

(8,3)

Tags

CCSS.8.EE.C.8B

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