Translating Equations
7 times a number is 84
7x=84
Independent Variable: The number of lawns you mow.
Dependent Variable:?
The amount of money you make.
1.02b =8.16
b=8
You want to know the side length of the square swimming pool. find the side length if the perimeter is 100 square yards.
100=4s
s=25 yards
Is (2,3) a solution to y=x+4
No it is not because 2+4=6 not 3.
(10*8) + p=102
p+ (10*8)=102
Your video membership cost $14 per month for10 video rentals. Each additional rental is $2. What are the independent and dependent variables represented in this scenario?
Independent: The number of video rentals
Dependent: The monthly cost of video rentals
4=x/11
x=44
You have been saving $12 each week for may weeks. One day, you decide to count your savings and find that you have saved $384. Write and solve a multiplication equation to find how many weeks w you have been saving.
384= 12w
w= 32 weeks
Is (3,12) a solution to the equation?
y=3x+3
Yes
Create an equation based on the given scenario:
The area of a rectangle with a length of 8.
Area= 8 * width
A=8w
Each ticket to the school dance is $4. The total amount collected in ticket sales is $332. If the dependent variable is the total of ticket sales what is the independent variable?
Independent Variable; Number of tickets sold
7g=17.5
g=2.5
A 14-inch pepperoni pizza is sliced into 8 equal slices. one slice contains 352 calories Write and solve an equation to find the total number of calories c in the pizza.
352*8 =c
c=2816 calories
Find the solution.
y= 7x-11 (?, 3)
(2,3) is the solution.
Create an equation based on the given situation:
The perimeter of a square with a side length of x
Perimeter = 4*x
P=4x
Your choir has 300 tickets to sell. You are responsible for distributing 10 tickets to each choir member to sell.
Write an equation in two variables that represents the number of remaining tickets left to distribute. What are the independent and dependent variables?
Remaining tickets= 300-10m
m=members
Independent: number of members who have already received tickets
Dependent: Remaining tickets to pass out
(5x)/7=30
x=42
Before swallowing a large rodent, a python weighs 152 pounds. After swallowing the rodent, the python weighs 164 pounds. Write and solve an equation to find the weight of the rodent.
152 + w =164
w=12 pounds
Find the solution.
y=6x+5 (0,?)
(0,5) is the solution.
Together you and a friend have $52. You have $28. Write an equation representing how much money your friend has.
28 + x =52
52-28=x
A soccer team sells t-shirts for a fundraiser. The company that makes the shirts charges $10 per shirt plus a $20 shipping fee per order. Write an equation that represents the total cost c (in dollars) of ordering t t-shirts.
What are the independent and dependent variables?
c=10t + 20
Independent: Number of T-shirts ordered
Dependent: Total cost of order
3/20w =12
x=80
Write an equation that represents the total cost c in dollars of a $36 dollar meal, with tip t that is a percent of the check total.
Solve the equation to find the total cost of the meal when the tip is 15%.
c= 36+t
t=15% of 36
c=36+ (.15*36)
c=$41.40
You answer 12 emails in 15 minutes. How many emails can you answer in 2 hours?
96 emails.
The solution is (96,120)