WorksheetsSystems of Equations Word Problems
Total questions: 20
Worksheet time: 3600secs
2x + 4y = 450
2x + 4y = 315
3x + 4y = 450
1z = 0.75
3q + 1z = 0.75
q + z = 0.75
3q + 1z = 1.32
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. The price of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
4y = 3x + 64
8y = x + 68
4y = 3x + 64
8y = x + 60
3x + 4y = 64
x + 8y = 68
3x + 4y = 64
x + 8y = 60
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. Write a system of equations for this scenario.
5c + 10d = 16.50
5c + 10d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
2s + 3c = 52
3s + 2c = 52
s + c = 52
1s + 2c = 52
Which of the following is not a method for solving systems of equations
Elimination
Substitution
Estimation
Graphing
The sum of two numbers is 28. The difference of the two numbers is 2. What are the two numbers? What equation reflects this scenario?
x + y = 2
x - y = 28
x + y = 28
x - y = 2
28 + x = y
x - y = 2
28 + x = y
x + y = 2
13.5x - 13y = 6
x - y = 6
3x + 7y = 13.5
3x - 7y = 13.5
Your family goes to a concert. There are 6 people in your family. The adult tickets cost $14.80, and the student tickets cost $17. If the total cost 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
The sum of two numbers is 30. The difference of the two numbers is 6. Write a system of equations for this scenario.
x + y = 30
x - y = 6
x + y = 6
x - y = 30
30 + x = 6
6 - y = x
30 + 6 = x
x + y = 30
A vending machine has nickels and dimes. The vending machine has 32 coins in total, with a value of $2.60. What equation models the scenario?
n + d = 32
.05n + .10d = 2.60
n + d = 2.60
.05n + .10d = 32
n + d = 32
.10n + .25d = 2.60
n + d = 2.60
.10n + .25d = 32
A piggy bank has dimes and quarters. The piggy bank has 25 coins, and has a value of $4.90. What system of equations models this scenario?
d + q = 25
.10d + .25q = 4.90
d + q = 4.90
.10d + .25q = 25
d + q = 25
.05d + .10q = 4.90
d + q = 4.90
.05d + .10q = 25
You sell 15 rolls of wrapping paper for a fundraiser. Shiny wrapping paper costs $4 and regular wrapping paper costs $2. The total for the 15 rolls was $44. Which system of equations represents the situation?
4x + 2y = 44
x + y = 44
4x = y + 15
x - y = 15
.10d + .05n = 80
d + n = 6.60
.10d + .05n = 6.60
.05d + .10n = 6.60
13.5x - 13y = 6
x - y = 6
3x + 7y = 13.5
3x - 7y = 13.5
3S + 4A = 1740
4S + 3A = 1740
3S + 4A = 530
4S + 3A = 530
20x + 50y = 49
10x + 5y = 1430
20x + 50y = 1430
x + y = 1430
Little Timmy has saved coins in his piggy bank. He has 40 dimes and nickels worth $3.35.
n+d=3.35
0.05n+0.10d=40
n+d=40
0.05n+0.10d=3.35
n+d=40
5n+10d=3.35
n+d=40
0.10n+0.05d=3.35
Dominic is selling cookies for $1 and cupcakes for $5 to raise money for the basketball game. He raised a total of $532 from selling 248 deserts. Write a system to determine how many cookies, x, and cupcakes, y, he sold
x+y=532
x+5y=248
x+y=248
5x+y=532
x+y=532
5x+y=248
x+y=248
x+5y=532
