System of Equations Graphing Word Problems
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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10 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
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
y = 9.65 + x
y = 8.40 + x
y = 9.65x + 43
y = 8.40x + 58
y =9.65x
y = 8.40x
y = 9.65x - 43
y = 8.40x - 58
Tags
CCSS.8.EE.C.8C
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
Which of the following is not a method for solving systems of equations
Elimination
Substitution
Estimation
Graphing
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If a system of equations has no solution, what does the graph look like?
intersecting lines
parallel lines
skew lines
intersecting lines
Tags
CCSS.8.EE.C.8A
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
There are 15 animals in a barn. These animals are horses (x) and chickens (y). There are 44 legs in all. Which system of equations represents the situation?
x + y = 15
4x + 2y = 44
4x + 2y = 15
x + y = 44
x = 2y + 44
4x = y + 15
2x - 4y = 44
x - y = 15
Tags
CCSS.8.EE.C.8C
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