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WorksheetsSystem of Linear Equations M2T3 Practice
Total questions: 18
Worksheet time: 36mins
Solve the system of equations by substitution.
y = 2x - 3
x = 4
(a)
Solve the system of equations by substitution.
2x + y = 9
y = 5x + 2
(a)
Solve the system of equations by substitution. Determine whether the system is consistent or inconsistent.
y = 3x - 2
y - 3x = 4
(3,2), consistent
No Solution, inconsistent
(-3,-2), consistent
(3,4), consistent
Write a system of equations to represent the following problem situation. Solve the system of equations using any method. Rachel needs to print some of her digital photos. She is trying to choose between Lightning Fast Foto and Snappy Shots. Lightning Fast Foto charges a base fee of $5 plus an additional $0.20 per photo. Snappy Shots charges a base fee of $7 plus an additional $0.10 per photo. Determine the number of photos for which both stores will charge the same amount.
y=0.20x+5, y=0.10x+7, (20,9)
y=0.20x+7, y=0.10x+5, (20,9)
y=0.20x+5, y=0.10x+7, (9,20)
y=0.20x+7, y=0.10x+5, (9,20)
Write a system of equations to represent the following problem situation. Solve the system of equations using any method.
Raja is trying to decide which ice cream shop is the better buy. Cold & Creamy Sundaes charges $2.50 per sundae plus an additional $0.25 for each topping. Colder & Creamier Sundaes charges $1.50 per sundae plus an additional $0.50 for each topping. Determine the number of toppings for which both vendors charge the same amount.
(a)
Write a system of equations to represent the following problem situation. Solve the system of equations using any method.
Alicia has a booth at the flea market where she sells purses and wallets. All of her purses are the same price and all of her wallets are the same price. The first hour of the day, she sells 10 purses and 6 wallets for a total of $193. The second hour, she sells 2 purses and 1 wallet for a total of $37.50. How much does Alicia charge for each purse and each wallet?
(a)
Write a system of equations to represent the following problem situation. Solve the system of equations using any method.
Ms. Williamson woke up one morning to find that her water heater had sprung a leak. She called two different plumbers to get their rates. The first plumber charges sixty-four dollars just to walk in the door plus twenty-four dollars an hour. The second plumber charges a flat fifty-six dollars an hour. After how many hours will the cost for both plumbers be the same?
(a)
Solve the system of equations. -8x - 8y = -10 x = 3.25
3.25,-2
-2,3.25
-3.25,-2
-3.25,2
Solve the system of equations and plot the solution on the graph. -1.5x + 0.5y = -2 y + 7 = 3(x + 1)
One Solution
No Solution
Infinite Solution
Two Solutions
Solve the system of equations using the linear combinations method:
3x + 5y = 8
2x - 5y = 22
(a)
Solve the system of equations using the linear combinations method:
4x - y = 2
2x + 2y = 26
(a)
Solve the system of equations using the linear combinations method:
10x - 6y = 26
5x - 5y = 5
(a)
Solve the system of equations using the linear combinations method:
2x - 4y = 4
-3x + 10y = 14
(a)
Solve the system of equations:
3x + 2y = 14
4x + 5y = 35
(a)
Solve the system of equations:
1.5x + 1.2y = 0.6
0.8x - 0.2y = 2
(a)
Write a system of equations to represent the following problem situation. Solve the system of equations using any method.
Asna works on a shipping dock at a tire manufacturing plant. She loads a pallet with 4 Mudslinger tires and 6 Roadripper tires. The tires on the pallet weigh 212 pounds. She loads a second pallet with 7 Mudslinger tires and 2 Roadripper tires. The tires on the second pallet weigh 184 pounds. How much does each Mudslinger tire and each Roadripper tire weigh?
(a)
Write a system of equations to represent the following problem situation. Solve the system of equations using any method.
The Pizza Barn sells one customer 3 large pepperoni pizzas and 2 orders of breadsticks for $30. They sell another customer 4 large pepperoni pizzas and 3 orders of breadsticks for $41. How much does the Pizza Barn charge for each pepperoni pizza and each order of breadsticks?
(a)
Write a system of equations to represent the following problem situation. Solve the system of equations using any method.
Dave has 2 buckets that he uses to fill the water troughs on his horse farm. He wants to determine how many ounces each bucket holds. On Tuesday, he fills an empty 2000-ounce water trough with 7 large buckets and 5 small buckets of water. On Thursday, he fills the same empty water trough with 4 large buckets and 10 small buckets of water. How many ounces does each bucket hold?
(a)
