Linear Equations Quiz

Evelyn and Priya are trying to solve a system of equations to determine the number of apples (x) and oranges (y) they have. They came up with the following equations based on their count: 2x + 3y = 7 (Evelyn's count) 4x - 5y = -1 (Priya's count)

Oliver decided to help them by using the substitution method. What did he find?

• x = 16/11 (apples), y = -15/11 (oranges)

• x = 16/11 (apples), y = 15/11 (oranges)

• x = -16/11 (apples), y = -15/11 (oranges)

• x = -16/11 (apples), y = 15/11 (oranges)

Noah, Olivia, and Aria are trying to split the cost of a group gift. They decide to use the following system of equations to determine how much each person should contribute: 3x (Noah's contribution) - 2y (Olivia's contribution) = 5 2x (Noah's contribution) + 3y (Aria's contribution) = 1

• Noah contributes 17/13, Olivia contributes -7/13

• Noah contributes 17/13, Olivia contributes -7

• Noah contributes 17/13, Aria contributes 7

• Noah contributes 17/13, Aria contributes 7/13

Daniel went to a boutique that sells two types of shirts: regular shirts for $15 each and premium shirts for $25 each. Elijah bought a total of 5 shirts and spent $95. Can you figure out how many regular shirts Daniel bought for Elijah?

• 2

• 3

• 1

• 4

Benjamin, Arjun, and James went to a bakery. They bought 3 muffins and 2 cookies for a total of $7.50. If they found out that a cookie costs $2, can you help them find out how much did they pay for a muffin?

• 1.17

• $1.25

• $1.75

• $2.50

Elijah, Anika, and Benjamin are trying to split the cost of a group gift. They decide to use the following system of equations to determine how much each person should contribute: 3x - 2y = 8 (Elijah's contribution minus twice Anika's equals 8) 5x + 4y = 7 (Five times Elijah's contribution plus four times Anika's equals 7)

• Elijah contributes 50/33, Anika contributes -19/22

• Elijah contributes 2, Anika contributes 3

• Elijah contributes 0, Anika contributes 0

• Elijah contributes -1, Anika contributes 4

Avery, Harper, and Rohan are trying to split a bill after a meal. They decide to use the following system of equations to determine how much each person should pay: 2x (Avery's share) + 3y (Harper's share) = 10 (total bill) 4x (Avery's share) - 6y (Harper's share) = 12 (total tip)

• Avery pays $2, Harper pays $1/3

• Avery pays $4, Harper pays $2/3

• Avery pays $6, Harper pays $1/2

• Avery pays $3, Harper pays $1/4

Oliver, Avery, and William went to a local movie theater where the ticket price for adults is $8 and for children is $5. They noticed that the theater sold a total of 100 tickets for a total amount of $650. How many of those tickets were sold to adults?

• 30

• 50

• 60

• 40

Aiden, Anika, and Mason went to a local market to buy some fruits. They bought 4 apples and 3 oranges. The total cost of these fruits was $6. If they bought an apple for $1.50 and an orange for $0.75, find the cost of an orange.

• 1.25

• 0.50

• 0.75

• 1.00

David and Emma are trying to solve a system of equations to figure out the number of apples (x) and oranges (y) they have. The equations are as follows: David says that twice the number of apples minus thrice the number of oranges equals 4. Emma says that thrice the number of apples plus twice the number of oranges equals 1. Can you help Jackson to solve this system using the substitution method?

• x = 14/13, y = 4/13

• x = 14/13, y = -4/13

• x = -14/13, y = -4/13

• x = 14/13, y = 4/3

Olivia, Benjamin, and James are trying to solve a problem. They have a system of equations representing the number of apples (x) and oranges (y) they have. The equations are as follows: 5x + 2y = 9 3x - 4y = -5

They want to find out how many apples and oranges they have. Can you help them solve this system using the elimination method?

• x = -1, y = -2

• x = 2, y = 1

• x = 3, y = 4

• x = 1, y = 2