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Solving By Substitution
Solving By Elimination
Solving By Graphing
Word Problems
Mystery Questions
100
y = −2 4x − 3y = 18
What is (3, −2), or x=3 y=-2
100
−4x − 2y = −12 4x + 8y = −24
What is (6, −6), or x=6 y=-6
100
x = 7 y = −x + 9
What is (7, 2), or x=7 y=2
100
The senior classes at High School A and High School B planned separate trips to the state fair. The senior class at High School A rented and filled 10 vans and 6 buses with 276 students. High School B rented and filled 5 vans and 2 buses with 117 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?
What is Van: 15, Bus: 21
100
Solve by substitution: 2x − y = −9 5x + y = −5
What is (−2, 5), or x=-2 y=5
200
−3x − 4y = 2 3x + 3y = −3
What is (−2, 1), or x=-2 y=1
200
x − y = 11 2x + y = 19
What is (10, −1), or x=10 y=-1
200
y = −8x − 7 y = 9
What is (−2, 9), or x=-2 y=9
200
A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip back took 14 hours. Find the speed of the boat in still water and the speed of the current.
What is boat: 30 mph, current: 10 mph
200
A boat traveled 40 miles downstream and back. The trip downstream took 2 hours. The trip back took 4 hours. Find the speed of the boat in still water and the speed of the current.
What is boat: 15 mph, current: 5 mph
300
−5x + y = −2 −3x + 6y = −12
What is (0, −2), or x=0 y=-2
300
−2x − 9y = −25 −4x − 9y = −23
What is (−1, 3), or x=-1 y=3
300
y =(− 3/4)x − 9 y = 3x + 6
What is (−4, −6), or x=-4 y=-6
300
Heather and Perry each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $130 on 4 ft² of grass sod and 10 geraniums. Perry spent $115 on 12 ft² of grass sod and 5 geraniums. What is the cost of one ft² of grass sod and the cost of one geranium?
What is ft² of grass sod: $5, geranium: $11
300
Solve by elimination: −9x − 7y = 8 3x − 4y = −28
What is (−4, 4), or x=-4 y=4
400
y = 6x − 11 −2x − 3y = −7
What is (2, 1), or x=2 y=1
400
5x + y = 9 10x − 7y = −18
What is (1, 4), or x=1 y=4
400
y = (− 1/4)x − 9 y = (− 1/4)x + 4
What is No solution
400
The school that Kayla goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 6 senior citizen tickets and 7 student tickets for a total of $116. The school took in $26 on the second day by selling 4 senior citizen tickets and 1 student ticket. What is the price each of one senior citizen ticket and one student ticket?
What is senior citizen ticket: $3, student ticket: $14
400
Solve by graphing: y =(− 1/2)x − 6 y =(9/8)x + 7
What is (−8, −2), or x=-8 y=-2
500
−5x − 8y = 17 2x − 7y = −17
What is (−5, 1), or x=-5 y=1
500
2x + 8y = 6 −5x − 20y = −15
What is Infinite number of solutions
500
y =(5/7)x + 4 y = (− 1/7)x − 2
What is (−7, −1), or x=-7 y=-1
500
A plane traveled 352 miles to Berlin and back. The trip there was with the wind. It took 4 hours. The trip back was into the wind. The trip back took 8 hours. Find the speed of the plane in still air and the speed of the wind.
What is plane: 66 mph, wind: 22 mph
500
A plane traveled 800 miles to Tokyo and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. The trip back took 20 hours. What is the speed of the plane in still air? What is the speed of the wind?
What is plane: 60 mph, wind: 20 mph