Free Printable Writing Systems of Equations from verbal

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Writing Systems of Equations from verbal

Total questions: 15

Worksheet time: 4hrs 45mins

Name

Class

Date

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

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?

3x + 2y = 315
2x + 4y = 450

3x + 2y = 450
2x + 4y = 315

2x + 2y = 315
3x + 4y = 450

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

x + y = 15
4x + 2y = 44

4x + 2y = 15
x + y = 44

x = 2y + 44
4x = y + 15

2x - 4y = 44
x - y = 15

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

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?

1.5N+0.5S=78.5

N+S=87

1.5N+0.5S=78.5

1.5N+0.5S=87

N+S=78.5

1.5N+0.5S=87

N+S=78.5

N+S=87

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child ticket

3S+C=38

3S+2C=52

3S+C=52

3S+2C=38

3C+S=38

3C+2S=52

3C+S=52

3C+2S=38

The 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 = 0.75

5q + 2z = 1.32
3q + 1z = 0.75

q + z = 1.32
q + z = 0.75

5q + 2z = 0.75
3q + 1z = 1.32

You have a total of 17 coins. All of your coins are nickels and dimes. The total value of the coins is $1.35. Which system of equations represents this situation?

n+d=17
.05n+.10d=1.35

.05n+.10d=17
n+d=1.35

.25n+.10d=1.35
n+d=17

Lizzy has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Which system of equations models this situation?

D + Q = 4.80

0.10D + 0.25Q = 30

D + Q = 30

0.10D + 0.25Q = 4.80

D + Q = 30

0.25D + 0.10Q = 4.80

D + Q = 4.80

0.25D + 0.10Q = 30

10.

Tania had 35 coins in pennies and nickels. She had $1.03. Which system of equations could be used to determine the number of coins she has?

.01p + .05n = 35

p + n = 103

1p + 5n = 1.03

p + n = 35

.01p + .05n = 1.03

p + n = 35

.05p + .01n = 1.03

p + n = 35

11.

Edwin bought 3 cd's and 7 dvd's for $80. Jessica bought 6 cd's and 3 dvd's for $63.75. Which system of equations could be used to determine how much one cd and one dvd costs?

3x + 7y = 80
6x + 3y = 63.75

3x + 3y = 80
6x + 7y = 63.75

3x + 7y = 63.75
6x + 3y = 80

6x + 7y = 80
3x + 3y = 63.75

12.

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

13.

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. Let h represent the number of haircuts given and d represent the number of hair dyes done. Which system of equations represents the situation?

3h + 2d = 315

2h + 4d = 450

3h + 2d = 450

2h + 4d = 315

3h + 2d = 450

3h + 2d = 315

2h + 2d = 135

14.

A bag contains 20 coins consisting of quarters and dimes. The total value of the coins is $3.00

Which systems of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

$0.10q+0.25d=3.00$
$q+d=20$

$0.10q+0.25d=20$
$q+d=3.00$

$0.25q+0.10d=3.00$
$q+d=20$

$0.25q+0.10d=20$
$q+d=3.00$

15.

Michael spent $50 for 6 tigerfish and 8 goldfish. Shaun spend $5 more than Michael for 5 tigerfish and 10 goldfish. Write a system of equations that could be use the find t, the price of a tigerfish and g, the price of a goldfish.

$8t+6g=50$
$10t+5g=55$

$6t+8g=50$
$5t+10g=45$

$6t+8g=50$
$5t+10g=55$

$8t+6g=50$
$10t+5g=45$

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Writing Systems of Equations from verbal

Total questions: 15

Worksheet time: 4hrs 45mins

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