Solve for X
2y - 3x=7
5x=4y - 12
Solve for x
x = -2
y = 1/2
2x - 9y=32
4x + y=-12
Solve for y
x = -2
y = -4
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night, you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
(35, 52) is the solution.
x is the number of hot dogs and x = 35. That means 35 hot dogs were sold.
y is the number of sodas and y = 52. That means 52 sodas were sold.
Define function.
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.
4x - 4y=-4
3x + 2y=12
Solve for x
x = 2
y = 3
7x + 8y=23
8x + 7y=22
Solve for y
x = 1
y = 2
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your bill totals $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?
(1.25, 2.5) is the solution
x = the price of 1 soft taco and x = 1.25.That means 1 soft taco costs $1.25.
y = the price of 1 burrito and y = 2.5. That means 1 burrito costs $2.50.
Define X-intercept & Y-intercept
The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.
2y=16 + 4x
3x + 5y=27
Solve for x
x = -1
y = 6
y + 2x = 65
y − 2x = 10
Solve for Y
x = 0
y = 2
Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip, the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
Plane: 135 km/h
Wind: 23 km/h
Define slope
Slope is the 'steepness' of the line, also commonly known as rise over run. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
3x + 4y=12
18 - 2x=6y
Solve for x
x = 0
y = 3
3x + y = 95
x + 4y = 22
Solve for Y
x = 2
y = 3
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. Find the price of a senior citizen ticket and the price of a child ticket.
Senior citizen ticket: $8
Child ticket: $14
Define mode.
The score or data point found most often in a set of numbers.
4y - 6x=10
6y=15 + 9x
The system is dependent. Any ordered pair (x, y) satisfying 2y = 3x + 5 is a solution.
x – y = −6
x + y = 8
Solve for Y
x = 1
y = 7
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?
Van: 18
Bus: 59