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Multi-Step Equations
Problem Solving
The Distributive Property
Decimal Equations
Variables on Both Sides
100
7n-2n-1=29
6
100
Your class is selling subs to raise money for a field trip. The cost of the food to make the subs is $150. You sell each sub for $2.50. How many subs must your class sell to raise $600? Show algebraic equation and solve.
300 subs
100
-3(y+4)=18
-10
100
29t-17=-86
-2.38
100
7y=3(5y-8)
3
200
2y-5y+4=10
-2
200
You and your friends go canoeing on a river. The first canoe leaves at 11:00AM and goes 4mi/h. Your canoe leaves an hour later and goes 6mi/h. When will you catch up to the first canoe? Show algebraic equation and solve.
2:00PM
200
3x+2(X+8)=21
1
200
0.19t-1.57=0.46t
-5.81
200
4(7+y)=16-2y
-2
300
12=3t-t+4
4
300
You are trying to choose between two internet providers. Provider A charges $9.95 for the first five hours of use, and $2.95 for ever hour after that. Provider B charges $4.95 for the first hour of use, and $2.50 for every hour after that. What is the verbal model of this equation?
Cost of first five hours + cost of each additional hour (number of additional hours)=cost of first hour + cost of each additional hour (number of additional hours)
300
5r-7(1+r)=5
-6
300
3.14x+17.5=9.77x+24.1
-1.00
300
3/5t+9=12+8/5t
t=-3
400
-31=2/3x-26+1/3x
-5
400
You are trying to choose between two internet providers. Provider A charges $9.95 for the first five hours of use, and $2.95 for ever hour after that. Provider B charges $4.95 for the first hour of use, and $2.50 for every hour after that. If I used 40 hours of the internet a month, which provider would be the better option.
Provider B
400
1/2(x+12)=-8
-28
400
2.16(3.47x-8.60)=17.59
4.83
400
A rectangle and triangle have the same perimeter. What is the perimeter if each shape has the following dimensions? Rectangle: Side 1= x+3, Side 2= x-1 Triangle: Side 1=x+1, Side 2=x+5, Side 3=x+3
x=5, Perimeter equals 24
500
300=5n-(270+2n)
190
500
You are trying to choose between two internet providers. Provider A charges $9.95 for the first five hours of use, and $2.95 for ever hour after that. Provider B charges $4.95 for the first hour of use, and $2.50 for every hour after that. At how many hours will they be the same cost? Show algebraic equation and solve.
16.1
500
You sell medical equipment. You earn $30,000 salary, plus a bonus. Your bonus is 1/30 of the amount by which your sales exceed $500,000. How much must you sell to earn $40,000? Set up equation and solve.
To earn $40,000 you must sell $800,000 of medical equipment. Equation: 40,000=30,000 + 1/30(total sales-500,000)
500
You purchase an item. The sales tax rate is 0.05 and the total cost of the item is $2.61. Set up an equation and solve to find the cost of the item.
$2.49
500
The cost of seeing x movies at the theater is 7x dollars. Buying a VCR and renting x movies cost 350 + 3x dollars. Solve this equation and tell me what your answer represents within the problem.
87.5, x represents the number of movies you would have to see before buying the VCR and renting movies becomes cheaper than seeing movies at the theater.