WorksheetsSolving System of Linear Equation Word Problems
Total questions: 12
Worksheet time: 12mins
Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill 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 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
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
x + y = 33
y = 2x - 3
x + y = 33
x = 2y - 3
x + y = 33
x = 3 - 2y
x + y = 3
x = 33 - 2y
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?
(35, 52)
(18, 69)
( 52, 35)
(61, 26)
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
What is the solution to the system?
(0, 3)
(1, -1)
(-3, 1)
(1, 3)
The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?
Van 43
Bus 14
Van 11
Bus 21
Van 14
Bus 43
Van 17
Bus 45
How many solutions will this system have?
No solution
One Solution
I Don't Know
Infinitely Many Solutions
The solution (x, y) to a system of equations is the point where they...?
Run off the graph
Don't touch
Intersect
Exist
Solve the following system by graphing. What is the solution?
Infinite number of solutions
(3, 3)
(3, -3)
(-3, 3)
How many solutions will this system have?
No Solution
Infinitely Many Solutions
No Clue
One solution
What is the solution to the system?
(0, 3)
(1, -1)
(-3, 1)
(1, 3)
