WorksheetsSystem of Equations Word Problems Slope Intercept Form
Total questions: 15
Worksheet time: 15mins
Nancy went to the grocery story. On Monday she purchased 4 apples (x) and 6 bananas (y) 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
Habiba sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Ruth 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
On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.
Adult $13
Child $5
Adult $10
Child $6
Adult $8
Child $16
Adult $12
Child $13
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
What will the grade be after 3 hours?
130
43
50
70
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
y=5x−20
y=20x+5
y=5x+20
y=20x−5
What is the solutions to the following system of equations?
(5,2)
(2, 5)
(0,3)
Infinitely Many Solutions
No Solutions
Yazzy won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Yazzy have? Which system best represents the situation?
x + y = 1430
20x + 50y = 49
x + y = 49
10x + 5y = 1430
x + y = 49
20x + 50y = 1430
x + y = 49
x + y = 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 = 9.65 + x
y = 8.40 + x
y = 9.65x + 43
y = 8.40x + 58
y =9.65x
y = 8.40x
y = 9.65x - 43
y = 8.40x - 58
Solve for x and y
y = 2x + 1
y = 4x - 1
(1,3)
(-1,-3)
(-1,3)
(3,1)
Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.
x + y ≥ 25
x + y ≤ 8
100x + 25 y ≤ 100
2x + 8y ≤ 14
x + y ≥ 100
8x + 25y ≤ 14
8x + 25y ≥ 100
x + y ≤ 14
JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?
b + t < 15
3b + 6t > 66
b + t > 15
3b + 6t < 66
3b + 6t > 15
b + t < 66
3b + 6t < 15
b + t < 66
Which shows the correct substitution?
6x + 10 = 3x + 1
6x + 10 = 6x + 10
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?
1.5x + 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
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?
1.5x+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
