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Graphing
Substitution
Elimination
Word Problems
Just Because
100
Solve the system by graphing: y = (13/6)x + 8 y = (1/3)x - 3
(-6, -5)
100
Solve using substitution: y = 12x - 28 y = 11x - 26
(2, -4)
100
Solve using elimination: -2x - 3y = -18 2x + 5y = 30
(0, 6)
100
The sum of two numbers is 78. Their difference is 14. Find the numbers.
32 and 46
100
What is the world's fastest dog?
Greyhound
200
4x + 5y = -25 y = (3/5)x + 2
(-5, -1)
200
Solve using substitution: y = 12x + 23 -9x - 8y = 26
(-2, -1)
200
Solve using elimination: -5x + 8y = -23 5x - 8y = -25
no solution
200
Nicole and Pranav are selling pies for a school fundraiser. Customers can buy blueberry pies and blackberry pies. Nicole sold 7 blueberry pies and 4 blackberry pies for a total of $129. Pranav sold 7 blueberry pies and 41 blackberry pies for a total of $610. Find the cost each of one blueberry pie and one blackberry pie.
Blueberry: $11 Blackberry: $13
200
In the Marvel Comics world, who has an assistant named Pepper Potts?
Tony Stark
300
Solve by graphing: x + y = 5 2x + 9y = -18
(9, -4)
300
Solve using substitution: y = -8x + 13 6x + 12y = -24
(2, -3)
300
Solve using elimination: 21x + 27y = -33 -7x - 9y = 11
infinite number of solutions
300
Krystal and Brenda each improved their yards by planting rose bushes and ornamental grass. They bought their supplies from the same store. Krystal spent $660 on 50 rose bushes and 21 bunches of ornamental grass. Brenda spent $255 on 25 rose bushes and 3 bunches of ornamental grass. What is the cost of one rose bush and the cost of one bunch of ornamental grass?
Rose bush: $9 Ornamental grass: $10
300
What is the highest hand in poker?
Royal flush
400
2x + y = 5 x + y = -2
(7, -9)
400
Solve using substitution: -x + 8y = 26 2x + y = 16
(6, 4)
400
Solve using elimination: 4x + 4y = 8 -11x - 9y = -28
(5, -3)
400
The school that Mofor goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 11 adult tickets and 40 student tickets for a total of $397. The school took in $185 on the second day by selling 7 adult tickets and 17 student tickets. What is the price each of one adult ticket and one student ticket?
adult: $7 student: $8
400
What common item is usually made up of twelve pentagons and twenty hexagons?
A soccer ball
500
Solve by graphing: 11x + 3y = 27 2x - y = 8
(3, -2)
500
Solve using substitution: x - 9y = 26 -3x + 6y = 6
(-10, -4)
500
Solve using elimination: 11x - 11y = 0 -10x + 13y = 18
(6, 6)
500
The senior classes at High School A and High School B planned separate trips to the county fair. The senior class at High School A rented and filled 35 vans and 40 buses with 1670 students. High School B rented and filled 19 vans and 3 buses with 420 students. Each van and each buscarried the same number of students. How many students can a van carry? How many students can a bus carry?
Van: 18 Bus: 26
500
The popular caterpillar sushi roll features unagi, the Japanese word for what type of sea creature?
Eel