Systems Elimination and Word Problems
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
10c + 5d = 14.25
5c + 10d = 16.50
10c + 5d = 16.50
5c + 10d = 14.25
c + d = 10
5c + 10d = 16.50
c + d = 5
5c + 10d = 16.50
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104
(10, 11)
(12, 9)
(11, 10)
(9, 12)
Tags
CCSS.8.EE.C.8C
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
4x + 8y = 20
-4x + 2y = -30
(-7,1)
(2,-5)
(-2,5)
(7,-1)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?
x - y = -10
x + y = -2
x = -2
y = 5
x + y = -2
x - y = -10
x + y = -10
x - y = -2
Tags
CCSS.HSA.CED.A.3
5.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Which of the following could be a correct first step in solving the system shown? Select all that apply.
Multiply the first equation by 2, then add the result to the third equation.
Multiply the second equation by 2, then add the result to the third equation.
Add the first and second equation.
Add the first and third equation.
Add the second and third equation.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve using Elimination Method:
x - y = 11
2x + y = 19
(10,-1)
(-1,10)
(3,-4)
(6,7)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve using Elimination Method:
9x - 4y = 7
x - 4y = -17
(-1,5)
(-7,5)
(7,5)
(3,5)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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