WorksheetsApplication of Systems of Linear Equations
Total questions: 21
Worksheet time: 1hrs 15mins
3S + 4A = 1740
4S + 3A = 1740
3S + 4A = 530
4S + 3A = 530
Pilar had brochures printed for a new business venture. Pilar 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, Pilar 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
Saulo 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, Saulo made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
1.5x+0.5y=78.5
x+y=87
1.5x+0.5y=78.5
1.5x+0.5y=87
x+y=78.5
1.5x+0.5y=87
x+y=78.5
x+y=87
19s+16b=28
16s+19b=478
16s+19b=28
19s+16b=478
A store sells oatmeal cookies for $2 and chocolate cookies for $3. On a busy day, the store sold 8 more oatmeal cookies than chocolate cookies and made $156. Which system of equations can be used to determine how many of each kind of cookies were sold.
2x + 3y = 156
x = y + 8
2x + 3y = 156
y = x + 8
2x + 3y = 156
x + y = 156
2x + 3y = 156
x + y = 8
14c + 17s = 99
14c + 17s = 6
17c + 14s = 99
17c + 14s = 6
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
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. Choose the system that can be used to determine Erin and Alex's age.
y = 2x - 3
x = 2y - 3
x = 3 - 2y
x = 33 - 2y
WRITE a system where T= # of $20 and F = # of $50.
20T + 50F = 49
10T + 5F = 1430
20T + 50F = 1430
T + F = 1430
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 = 8.40 + x
y = 8.40x + 58
y = 8.40x
y = 8.40x - 58
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=7.30+.90x
x + y = 7.30
y = 7.30 + .65x
y + .65x = 7.30
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
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 for 1 large candle and 8 small candles.
Which system of equations can be used to find the price in dollars of each large candle and each small candle?
4y = 3x + 64
8y = x + 68
4y = 3x + 64
8y = x + 60
3x + 4y = 64
x + 8y = 68
3x + 4y = 64
x + 8y = 60
There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
4d + 2c = 50
4d + 2c = 174
2d + 4c = 174
2d + 4c = 50
2x + 4y = 450
2x + 4y = 315
3x + 4y = 450
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
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Which system of equations could be used to determine the number of yards each running back rushed?
y = 4x
y = x + 4
y = 4x
y = x + 4
x + y = -2
y = 5
x - y = -10
x - y = -2
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
5c + 10d = 16.50
5c + 10d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
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. Which system of equations could be used to find the exact number of dimes and nickels?
.10d + .05n = 80
d + n = 6.60
.10d + .05n = 6.60
.05d + .10n = 6.60
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
t = 3n + 8
n = 3t + 8
t = 3n - 8
t = 3n + 54
