Rachel buys 3 tricycles and 4 bicycles for a total of $72. Joe bought 5 tricycles and 2 bicycles for $50. Which system models this scenario?
Setting Up System of Equations Word Problems

Quiz
•
Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
3B + 5T = 72
2T + 4B = 50
3T + 4B = 72
5T + 2B = 50
3T + 4B = 50
5T + 2B = 72
y = 3x + 4
y = 5x + 2
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
There are two taxi companies in Kara's town. The total cost for a ride in a taxi from TaxiTown includes a fixed fee of $4 and then $0.75 per mile. The cost for Quick Ride is given in the table. Which system represents the situation?
y = .75x + 4
y = .50x + 5
y = 4x + .75
y = 5x + .50
y = .75x + 4
y = 5.50x + .50
.50x + .75y = 5
.75x + .50y = 4
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza 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 = .90x + 6.80
y = .65x + 7.30
y + .90x = 6.80
y + .65x = 7.30
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
y = 10x + 13
y = 10x + 13.50
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza 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
6.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Two college friends rent an apartment. They have to pay the landlord two months rent and a $500 security deposit when they sign the lease. The total amount they pay the landlord is $2800. What is the rent for one month.
500 + 2x = 2800
500 - 2x = 2800
2x - 500 = 2800
2800 - 500 = x
7.
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 = 9.65x - 43
y = 8.40x - 58
y = 9.65x + 43
y = 8.40x + 58
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