Free Printable Solving Systems of Equations

Worksheets

Solving Systems of Equations

Total questions: 10

Worksheet time: 50mins

Name

Class

Date

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, 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

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.

35 nachos, 52 sodas

18 nachos, 69 sodas

52 nachos, 35 sodas

61 nachos, 26 sodas

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?

40 nickels, 40 dimes

52 nickels, 28 dimes

28 nickels, 52 dimes

30 nickels, 50 dimes

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

$10

$15

$20

Manassas Park is selling tickets for their fall musical. On the first day of sales, we sold 3 adult tickets and 9 student tickets. They made $75. On the second day of sales, we sold 8 adult tickets and 5 student tickets and made $67. How much does an adult and a student ticket cost?

An adult ticket costs $4 and a student ticket costs $7.

An adult ticket costs $7 and a student ticket costs $4.

An adult ticket costs $6 and a student ticket costs $3.

An adult ticket costs $3 and a student ticket costs $6.

A movie theater charges $10 for each adult ticket and $5 for each child ticket. At a showing where 150 tickets were sold, the theater collected $1200. How many child and adult tickets were sold?

There were 90 adult tickets and 60 child tickets sold.

There were 60 adult tickets and 90 child tickets sold.

There were 50 adult tickets and 40 child tickets sold.

There were 40 adult tickets and 50 child tickets sold.

You and a friend go to Chick-Fil-A. You order 2 chicken sandwiches and 5 cookies. Your bill is $17. Your friend orders 3 chicken sandwiches and 2 cookies. Their bill is $20. How much does a chicken sandwich and a cookie cost?

A sandwich costs $6 and a cookie costs $1.

A sandwich costs $1 and a cookie costs $6.

A sandwich costs $5 and a cookie costs $2.

A sandwich costs $2 and a cookie costs $5.

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures.
Which system represents this situation?

x+y=134
x+y=120

3x+3y=134
4x+3y=120

4x+3y=134
3x+3y=120

7xy=134
6xy=120

10.

7x + 4y = -6
-7x - 6y = 30

(6, -12)

(6, 12)

(-12, 8)

(12, -8)

100 %

Solving Systems of Equations

Total questions: 10

Worksheet time: 50mins

Similar Resources on Wayground