Solving Equations
x + 6 = 13
x = 7
Write an EQUATION and SOLVE.
6x = 18
x = 3
Gracie can type 40 words per minute. Based on her typing rate, complete the equation that can be used to predict the number of words, w, Gracie can type in m minutes.
______ = ______ ______
w = 40m
a mathematical statement that uses an equal sign
EQUATION
a letter that represents an unknown number
VARIABLE
3x = 57
x = 19
On Friday, Johnny had 324 subscribers on YouTube. He gained subscribers over the weekend. On Monday, Johnny had 560 subscribers. How many subscribers did Johnny gain over the weekend?
Write an EQUATION and SOLVE.
324 + s = 560
s = 236
A little league team hits the ball 15 times in 5 innings. Complete the equation that could be used to predict the number of hits, h, the team has after n innings.
_______ = _______ _______
h = 3n
operations that undo each other
INVERSE OPERATIONS
what you do to one side of the equation, you must do to the other side
BALANCE THE EQUATION
f + 0.8 = 2
f = 1.2
At a theme park, the waiting time for the roller coaster is 3 times as long as the waiting time for bumper cars. The park's website says that visitors should expect to wait 27 minutes for the roller coaster. How long is the wait for bumper cars?
Write an EQUATION and SOLVE.
3b = 27
b = 9
Delilah babysits the same number of hours each week. Her friend Laura babysits 5 hours more per week than Delilah.
Write an equation that models the total number of hours Laura babysits.
L = 5 + D
a value that can be substituted for a variable to make an equation true
SOLUTION
"for each ONE"
PER
427 + y = 533
y = 106
This morning, Jennifer had some bracelets in her backpack. She made 14 more bracelets in class. She then gave 7 away to friends. Jennifer now has 22 bracelets. How many bracelets did Jennifer have in her backpack this morning?
Write an EQUATION and SOLVE.
b + 14 - 7 = 22
b = 15
Franklin is traveling with his family on a road trip. They traveled 325 miles in 5 hours.
Write an equation that models the total distance traveled, d, with respect to the time traveled, t.
d = 65t
terms that can be combined
LIKE TERMS
OPERATIONS
7.2 = 0.9x
x = 8
Neva is training for a race. This week, she bikes 5 times as far as she runs. Her total distance running AND biking this week is 24 miles. How far did Neva run this week?
Write an EQUATION and SOLVE.
5r + r = 24
6r = 24
r = 4
The total weight of a delivery truck is equal to the weight of the empty truck plus the weight of the packages.
The truck weighs 8,200 pounds when empty. Write an equation that shows how to use the total weight of the truck, t, to find the weight of the packages, p.
p = t - 8,200
a variable whose value depends on the value of another variable
DEPENDENT VARIABLE
a variable whose value is used to find the value of another variable
INDEPENDENT VARIABLE