Solving System of Equations Applications
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
Used 4+ times
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19 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 3 pts
A movie theater sells adult tickets for $10 each and child tickets for $6 each. If a total of 100 tickets were sold for $800, write a system of equations to represent this scenario and solve for the number of adult and child tickets sold.
The number of adult tickets sold is 60, and the number of child tickets sold is 40.
The number of adult tickets sold is 80, and the number of child tickets sold is 20.
The number of adult tickets sold is 50, and the number of child tickets sold is 50.
The number of adult tickets sold is 70, and the number of child tickets sold is 30.
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Graph the system of equations: x + y = 5 and 2x - y = 3. Identify the point of intersection.
(1, 4)
(2, 3)
(4, 1)
(3, 2)
Tags
CCSS.8.EE.C.8B
3.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Solve the system of equations by substitution method: 3x - 2y = 7 and 5x + 4y = 11.
x = 3, y = -2
x = 2, y = 3
x = 5, y = 2
x = -1, y = 4
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Graph the system of equations: 2x + y = 4 and x - y = 1. Identify the point of intersection.
(1, 4)
(3, 2)
(5, 1)
(2, 3)
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the solution(s) to the system.
(0,-3)(-1,-2)
(0,-3)
(-2,0)(2,0)
No solution
Tags
CCSS.HSA.REI.C.7
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the exact real solutions to the system
no real solutions
(0, 5)
(-10, 11)
(5, 0)
Tags
CCSS.HSA.REI.C.7
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system of equations by substitution method: 4x - 3y = 10 and 2x + y = 5.
x = 2, y = 1
x = 5, y = 3
x = 1, y = 4
x = 3, y = 2
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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