Creating Equations with Two Variables
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 ?
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?
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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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?
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?