Systems of Equations
Solve:
x+y=5
x-7=7
x=6
y=-1
PV = nRT for T
PV/nR
Write an equation for a line that passes through (6,5) and (7,1).
y=-4x+29
A flight costs $15,000 to operate, regardless of the number of passengers. Each ticket costs $212. Express the profit P as a linear function of the number of passengers on the flight. How many passengers are needed to make a profit?
Answer on the Board.
Solve:
3x-4y=7
y=4x-5
x=1
y=-1
A=P(1+rt) for r
A/(tP)-1 = r
Write an equation of a line that passes through (-1,-8) and is parallel to y=5x-2.
y=5x-3
Clint is buying large bottles of lemonade and small bottles of soda for a party. Each bottle of lemonade costs $6 and each bottle of soda costs $2. He wants to spend exactly $40 on drinks. Write an equation to represent the situation.
Answer on the Board
Solve:
20n+50m=15
70m+30n=22
m=
1/10
n=
1/2
F = (mv2)/R for R
(mv2)/F = R
Write an equation of a line that passes through (12,20) and is perpendicular to y= -4x-3.
y=1/4 x+17
You are considering hiring a plumber to do some work for the new house you are building. The plumber charges $75 per hour plus a base fee of $299. If C represents the total cost to hire the plumber, and H represents the number of hours of time, what is the relationship between C and H?
Answer on Board
At a restaurant, the price for an adult seafood platter is $19, and the price for a child seafood platter is $8. One day a total of 32 seafood platters were served, and the restaurant made a total of $487 from seafood platter sales. How many adult platters and child platters were sold?
Adult = 21
Child = 11
1/R = 1/R1 + 1/R2 for R
The Answer is on the Board.
Write an equation of a line that is perpendicular to the equation 2x-3y=24, but passes through the point (1,1).
x = .008, -125
\text{Solve: }5y+7+3y=5(2y+1)-8
y=5
Last month a fitness club sold 55 new memberships. The Gold memberships sold for $10.50 each and the Platinum memberships sold for $15.50 each. If the total sales for new memberships was $682.50 last month, how many of each type of membership were sold?
Gold = 34
Platinum = 21
v=-g t+v_0 \text{ for t}
Answer on the Board.
An equation has a slope of zero and runs through the point (3,4). What's the equation?
y=4
Solve:
2(8x-28)+4=-4(-11x-9)-4
x=-3