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- 1. Multiple Choice
The Maplewood Symphony Orchestra sold 146 tickets and collected a total of $1036 in ticket sales. Admission was $5 for children and $8 for adults. Write two equations that would be used to solve the system.
c+a=146
5c+8a=1036
c-a=146
8c+5a=1036
c+a=1036
8c+5a=146
c+a=146
5c-8a=1026
- 2. Multiple Choice
The manager of a movie theater wants to know the number of adults and children who go to the movies. The theater charges $8 for each adult and $4 for each child. At a showing where 200 tickets were sold, the theater collected $1304. Write two equations that would be used to solve the system.
a+c=1304
8a+4c=200
a+c=200
4a+8c=1304
a+c=200
8a+4c=1304
a-c=200
4a+8c=1304
- 3. Multiple Choice
J. P. is thinking of two numbers. The sum of the numbers is 163, and their difference is 33. Write two equations that would be used to solve the system.
x+y=33
x+y=163
x+y=163
x-y=33
x-y=33
x-y=163
x+y=33
x-y=163
- 4. Multiple Choice
The school’s photographer took pictures of couples at this year’s prom. She charged $3.25 for wallet-size pictures and $10.50 for portrait-size pictures. Crystal and Dan bought a total of 10 pictures for $61.50. Write two equations that would be used to solve the system.
10.50w+3.25p=10
w+p=61.50
3.25w+10.50p=10
w+p=61.50
10.50w+3.25p=61.50
w+p=10
3.25w+10.50p=61.50
w+p=10
- 5. Multiple Choice
On Friday, 3247 people attended the county fair. The entrance fee was $5 for adults and $3 for children 12 or under. The fair collected a total of $14,273. Write two equations that would be used to solve the system.
3a+5c=3,247
a-c=14,273
5a+3c=14,273
a+c=3,247
3a-5c=3,247
a+c=14,273
5a+3c=3,247
a+c=14,273
- 6. Multiple Choice
Each day Mario prepares a large basket of self-serve tortilla chips in his restaurant. On Monday, 40 adults and 15 children ate 10.8 lb of chips. On Tuesday, 35 adult and 22 children ate 12.29 lb of chips. Write two equations that would be used to solve the system so that Mario would know whether adults or children eat more chips on average.
15a-40c=12.29
35a+22c=10.8
40a+15c=10.8
35a+22c=12.29
15a+40c=10.8
35a-22c=12.29
40a+15c=12.29
35a+22c=10.8
- 7. Multiple Choice
Eric has some quarters and nickels in his pocket. He has 8 more nickels than quarters. The total value is $3.70. Write two equations that could be used to solve the system.
0.25q+0.05n=3.70
q=n+8
0.05q+0.25n=3.70
n=q+8
0.25q+0.05n=3.70
n=q+8
0.25q-0.05n=3.70
n=q-8
- 8. Multiple Choice
Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
4x + 6y = 3
13.5x - 13y = 6
x + y = 4
x - y = 6
4x + 6y = 13
3x + 7y = 13.5
4x - 6y = 13
3x - 7y = 13.5
- 9. Multiple ChoiceThe cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.5q + 2z = 1.32
1z = 0.755q + 2z = 1.32
3q + 1z = 0.75q + z = 1.32
q + z = 0.755q + 2z = 0.75
3q + 1z = 1.32 - 10. Multiple Choice
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
3H + 2D = 315
2H + 4D = 450
3H + 2D = 450
2H + 4D = 315
2H + 4D = 315
3H + 2D = 450
3H + 2D = 315
2H + 2D = 135
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