Writing Equations
The sum of 3 and g is 7
3 + g = 7
6 + a = 10
a = 4
q = 4
Which variable means it is not effected by the other variable?
independent varaible
At the fair, Braden bought a jumbo bag of Meyer's Mini Donuts to share with his friends. He divided the
m mini donuts evenly onto 6 plates. Braden put 5 mini donuts on each plate.
What equation models the story? Solve.
m / 6 = 5
m = 30
The product of 45 and s is 90
45s = 90
w - 7 = 13
w = 20
7x = 42
x = 6
Which variable means it is determined by the other variable?
dependent variable
Jasmine has a bike odometer that shows how far she travels. On Sunday, she biked m miles to Mandy's house. Later, she biked 9 miles to the beach. When they arrived, Jasmine's odometer showed that she had biked 15 miles in all.
What equation models this story? Solve.
m + 9 = 15
m = 6
568 is 345 and b more.
568 = 345 + b
t - 24 = 91
t = 115
9k = 27
k = 3
Identify the independent variable...
Sally is clearing space in the garden to plant some vegetables. The number of vegetables she can plant will depend on the area available.
p = the number of vegetables Sally can plant
a = the area available for planting
A =area
Devon's cat, Daisy, is missing! Now, Devon and her friends are making flyers to hang up around town. The 5 of them worked quickly, and each person made f flyers. Devon and her friends made 40 flyers altogether.
What equation models the story? Solve.
5f = 40
f = 8
The quotient of x and 4 is 28
x/4 = 28
157 + n = 213
n = 56
v / 13 = 25
v = 325
Identify the dependent variable...
Kim is scheduling wrestling matches for a tournament. The number of competitors registered for the tournament dictates how many matches will take place.
c = the number of competitors
m = the number of matches
m = # of matches
Every time Johnny visits a new city, he buys a souvenir key chain. Johnny's goal is to collect k key chains in all. So far, he has 37 key chains. He needs 13 more key chains to reach his goal.
What equation models the story?
k - 37 = 13
k = 50
6 fewer than h is 41
h - 6 = 41
y + 256 = 876
x = 620
14b = 70
b = 5
Identify both the independent and dependent variable...
Zoe is getting ready for a hike. The number of hours she expects to be gone will affect how many snacks Zoe packs.
h = the number of hours Zoe expects to be gone
s = the number of snacks Zoe packs
h = # of hours gone = independent
s = # of snacks = dependent
Ernesto volunteers at the puppy shelter near his house. At dinnertime, he gives 8 ounces of food to each of the p puppies. In all, Ernesto gives them 72 ounces of food.
What equation models the story? Solve.
8p = 72
p = 9