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System of Equations Word Problem Break Even

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

System of Equations Word Problem Break Even
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Sugar Cookies $5 
Oatmeal Cookies $3

Sugar Cookies $4
Oatmeal Cookies $8

Sugar Cookies $2
Oatmeal Cookies $6

Sugar Cookies $3
Oatmeal Cookies $6

Tags

CCSS.8.EE.C.8C

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

(35, 52)

(18, 69)

( 52, 35) 

(61, 26)

Tags

CCSS.8.EE.C.8C

3.

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

4x - 6y = 13
3x - 7y = 13.5

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

Solve the following system by graphing.  What is the solution?

Infinite number of solutions

(3, 3)

(3, -3)

(-3, 3)

Tags

CCSS.8.EE.C.8B

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

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

S + A = 530
3S + 4A = 1740

S + A = 530
4S + 3A = 1740

S + A = 1740
3S + 4A = 530

S + A = 1740
4S + 3A = 530

Tags

CCSS.HSA.CED.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Your family goes to a restaurant for dinner. There are people in your family. Some order the chicken dinner (x) for $14.80, and some order steak (y) for $17. If the total bill was $91, which system best represents the situation? 

x + y = 6

14.80x + 17y = 91

x + y = 91

14.80x + 17y = 6

x + y = 6

14.80y + 17x = 91

x + y = 91

14.80x + 17y = 6

Tags

CCSS.HSA.CED.A.3

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