Write and Solve One-Step Equations
-12 = 4 + c
c = -16
19 = 4x + 3
x = 4
The current temperature is 48 degrees Fahrenheit. It is expected to drop 1.5 degrees F each hour. Determine in how many hours the temperature will be 36 degrees Fahrenheit.
4 - 1.5h = 36
8 hours
4(x + 8) = 44
x = 3
Javier bought 3 bags of balloons for a party. He used 8 balloons from each bag. Determine how many balloons were originally in each bag if there were 21 balloons left over.
3(b - 8) = 21
15 balloons
-7x = 56
x = -8
-6x - 7 = 17
x = -4
A taxi service charges $1.50 plus $0.60 per mile for a trip to the airport. The total charge is $13.50. Determine how many miles it is to the airport.
0.60m + 1.50 = 13.50
20 miles
0.4(x - 7) = 18
x = 52
Vera and her three sisters received the same amount of money to go to the school festival. Each girl spent $12. Afterward, the girls had $24 altogether. Determine the amount of money each girl received.
4(m - 12) = 24
$18
-1/3 = -5/6 + w
w = 1/2
3.8 = 2x - 11.2
x = 7.5
-17 = 5w + 3
w = -4
1/2(x - 4) = 5
x = 14
9 1/4 + x = 2 3/8
-6 7/8 or
-55/8
-0.8n = 2.8
n = -3.5
-1/2x - 7 = 18
x = -50
Jonelle spends $22.50 at a library book sale. She spends $4.50 on paperback books and buys 6 hardcover books of equal value. Determine the cost of each hardcover book.
4.50 + 6b = 22.50
b = $3.00
-0.8(10 - x) = 36
x = 55
Clara is training for a race in the summer. Every day she jogs the same number of miles. She also rides her bicycle 5.5 miles each day. During a 5-day training period, she jogs and rides a total of 50 miles. How many miles does Clara jog each day during training?
5(m + 5.5) = 50
m = 4.5
A diver is at a certain depth in the ocean. After ascending 10 3/4 feet, the diver is now at a depth of -56 1/2 feet. Write and solve an equation to determine the diver's initial depth.
d + 10 3/4 = -56 1/2
-67 1/4 ft
2 + 1/6x = -4
x = -36
The solution to the equation 24 = 3(x + 3) is?
x = 5
The reading rug in Mrs. Shaw's room has a perimeter of 28 meters. The length can be represented by (x + 3.3) and the width by (x + 3.3). If the equation 4(x + 3.3) = 28 can be used to find the perimeter of the rug, what is the value of x?
3.7
Tamara makes 12 identical flower arrangements, each with three roses and an equal number of carnations. She uses a total of 96 flowers. Determine how many carnations are in each arrangement.
12(3 + c) = 96
5 carnations