Distributive
3(x-4) = 0
x=4
5x+24=2x+15
x = -3
m/k=x for m
m=xk
x - 3 = x + 3
no solution
A Tow Truck Driver charges $35 for a service call plus $70 per hour of service. Write an equation for the amount of hours (h) of service if the total cost was $385.
35 + 70h = 385
5 hours
2(x-1) = 30
x = 16
8g + 9 = 4g + 1
g = -2
Solve for x:
A = (x+2y)/6
6A-2y = x
8x - 2x + 4 = 6x - 1
no solution
A Surf Shop charges a $10 membership fee and $3.75 for each Board rented. Write an equation to model this situation. If the total revenue is $47.50, how many surf boards must have been rented?
3.75x + 10 = C
10
2(4x - 6) = 16
x=7/2
9x-8+4x=7x+16
x = 4
Solve for b:
d = (a+b+c)/5
5d - a - c = b
6a - 3 = 3(2a - 1)
infinite solutions
An attorney charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equation and use it to determine the amount of hours worked if the total charge was $3,250.
20
4x +2(x + 18) = 24
x = -2
3x + 10 + 2x = 2(x + 8)
x = 2
Solve for E:
R = EI/Y
RY/I = E
6-2x-1=4x+8-6x-3
Infinite Solutions
Amy has a small business making dessert baskets. She estimates that her fixed weekly COSTS for rent and electricity are $400. The ingredients for one dessert basket COST $5. If Amy's total costs are $800, how many baskets must she have made?
80
4x - 3(4x + 1) = -3
x=0
2(x + 8) = 2(2x + 1)
x = 7
Solve for y: (Simplify)
12x-4y=20
y = -5 + 3x
3(2x-1)+5=6(x+1)
no solution
Amy has a small business making dessert baskets. She estimates that her fixed weekly costs for rent and electricity are $400. The ingredients for one dessert basket cost $5. Her total costs for the week were $1,025. How many dessert baskets did she make the week before?
285 baskets