Writing equations
Write the equation for the following problem.
Long’s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month, Jalissa spent $26.95 on a mug and refills. How many refills did she buy?
r = refills
26.95 = 8.95 + 1.5r
Solve x - 5 = 10
x = 15
Solve x/5 = 5
x = 25
Janice is going to see a movie at the theater and plans to buy some snacks from the concession stand as well. The ticket for the movie cost $8, and each snack from the concession stand is $1.50. If Janice brought $20 to the movie theater, how many snacks can she buy?
20 = 8 + 1.5s
s = 8
Evaluate the following expression for y = 4.
y^2 + 2y
24
Write the equation for the following problem.
Juan’s cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does Juan send in a month if his bill was $52?
t = text messages
52 = 0.5t+35
Solve x + 55 = 98
x = 43
Solve 4x = 43
x = 43/4
Jenny buys 22 sports drinks for her soccer team. They are on sale for $0.35 off per drink. Jenny paid $18.70 for the 22 sports drinks. How much did one sports drink cost?
$1.20
Divide 2/3 by 4/5
5/6
Write the equation for the following problem.
Friendship’s soccer team purchased uniforms and equipment for a total cost of $912. The equipment cost $612, and the uniforms cost $25 each.
u = number of uniforms
912 = 612 + 25u
Solve x - 9 = 9
x = 18
Solve 2.5x = 20
x = 8
Lana wants to bring cupcakes to her class of 30 students for her birthday. She plans to leave 5 cupcakes at home for her family and she wants to be able to give each student 2 cupcakes. How many cupcakes does Lana need to buy?
30 xx 2 = 60
60 + 5 = c
Divide 34 by 0.2
170
Write the equation for the following problem.
You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?
t = ticket price
Solve x - 15 = 2
x = 17
Solve x/12 = 0
x = 0
Jamal invites 15 people to his birthday party and orders enough cupcakes so that everyone (himself included) will get two cupcakes. How many cupcakes can everyone have if only 7 friends show up to Jamal's party?
15 xx 2 = 30
30 / 7 = 4 2/7
4 cupcakes
What is 30% of 240?
Write the equation for the following problem.
The sum of the measures of the angles of all triangles is 180˚. If one angle of the triangle measures 45˚, and the other two angles are equal, what is the measure of each of the other two angles?
m = measure
180 = 45 + m + m
or
180 = 45 + 2m
Solve x - 4.7 = 11
x = 15.7
Solve 2x/3 = 10
x = 15
Leilah has not yet studied 600 of her 2400 flashcards. She studies 40 new cards each day. How many days will it take her to study all of her remaining flashcards?
600/40 = 15
15 days
What property is this equation demonstrating?
a + b = b + a