Creating Equations with One Variable
500 students went on picnic trip. 10 students travelled in each car. Find out how many cars were used for the picnic trip?
What is 10x=500
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Set up the system of linear equations. Use x for senior tickets and y for child tickets
What is 3x+y=38 and 3x+2y=52?
Solve
Y=-3x+5
5X-4Y=-3
What is x=1 and y=2?
Solve
2x-13=43
What is X=28?
Equation
What is an expression that is set equal to a value ?
John bought ten books all at the same price. The total cost of the books was $242. He gave two books to his friend. What was the value of the books that he gave to his friend?
What is (10x)/2=242
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Make a system of equations to figure out how many students are in each van and each bus. Use x for vans and y for buses.
What is 8x+8y=240 and 4x+y=54?
Solve
-7x-2y=-13
X-2y=11
What is x=3 and y=-4
Solve
9x/4=27
What is x=12?
System of Equations
What is a set of multiple equations that share variables?
Ron works 5 hours total and made $300. He deposits all his money into his account and is trying to save up for a $500 TV. How many hours will Ron have to work to buy the TV?
What is 60x=500?
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
What is 3x+14y=203 and 11x+11y=220
Solve
Y=5x-7
-3x-2y=-12
What is x=2 and y=3?
Solve 3x-17= 28
What is x= 15
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Jorge Handsmith is one of the Football league star players. He is also somewhat of a statistical phenomena. For every point he scores, he has 3 receiving yards, and 5 rushing yards. Write an equation that would help you determine the number of yards Jorge score in the game, if he had 21 points.
What is 1/8x=21?
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
What is x+6y=372 and 4x+12y=780?
Solve
-4x+y=6
-5x-y=21
What is x=-3and y=-6
Solve (7x+6)/2= 3
What is x=0?
How many variables are necessary to make a solvable equation?
What is 1?
Jolly had some burgers. He ate two burgers and then he divided the remaining burgers amongst his friends. He has five friends. Every friend received two burgers. How many burgers did Jolly start with?
What is (x-2)/5=2?
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?
What is 3x+9y=75 and 8x+5y=67?
Solve
-5x+y=-3
3x-8y=24
What is x=0 and y=-3?
Solve 1/2x+5=37
What is x=64?
The name of a constant multiplied to a variable
What is a coefficient?