Setting Up System of Equations Word Problems

Setting Up System of Equations Word Problems

9th Grade

20 Qs

quiz-placeholder

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Setting Up System of Equations Word Problems

Setting Up System of Equations Word Problems

Assessment

Quiz

Mathematics

9th Grade

Hard

Created by

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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?

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

Media Image

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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