Rearranging Equations (solve for y)
13x + 5y = - 40
y = -13/5x - 8
The temperature is 15 degrees and is expected to fall 2 degrees each hour during the night.
y = 15 - 2x
Chelsea has $45 to spend at the fair. She spends $20 on admission and $15 on snacks. She wants to play a game that costs $0.65 per game. Write an inequality to find the the maximum number of times she can play the game
0.65x + 35 ≤ 45
12x = 4(x+5)
x = 20/8 OR x = 2.5
3x - y = 3
y = 3x - 3
A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?
c = 0.05d + 60
A prom ticket at HSES is $120. Daniel is going to save money for the ticket by walking his neighbor's dog for $15 per week. If Daniel already has saved $22, write an inequality that could be used to determine the minimum number of weeks Daniel must walk the dog to earn enough pay for the prom ticket.
15x + 22 ≥ 120
7/4(x - 1) = 7/8
x = 1.5
11x + 4y = 10
y = -11/4x + 5/2
The school that Yennely 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. Write both equations.
3x + y = 38
3x + 2y = 52
Ms. Hill has a maximum $110 dollars to spend on a party for her class. She knows she wants to buy pizza which costs $15 per pie and she wants to buy 5 bottles of soda which cost $3.29 each. Write an inequality that could be used to determine how many pizza pies Ms. Hill will be able to purchase.
15x + 16.45 ≤ 110
y = 6x - 11
-2x - 3y = -7
(2, 1)
12x - 5y = - 44
y = 12/5x + 44/5
Billy has a bank that sorts coins as they are dropped into it. A panel in the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. If Billy only collects dimes and quarters, write a system of equations that could be used to model this situation.
x + y = 90
0.10x + 0.25y = 17.55
A car rental agency rents cars for $26.20 per day plus $0.22 per mile driven. If your travel budget is $200, write an inequality that could be used to determine the maximum number of miles you can drive during a 1-day rental.
0.22x + 26.20 ≤ 200
8x + 14y = 4
-6x - 7y = -10
(4, -2)