Solving One-Step Equations
-5 = b + 8
b = -13
5x + 3 = 13
x = 2
12 more than a certain number is -32. What is the number?
x + 12 = -32
x=-44
Tina had her birthday party at the movies. It cost $27 for pizza and $8.50 per friend for the movie tickets. Write and solve an equation to determine how many friends Tina had at her party if she spent $78
8.50x + 27 = 78
x = 6
Solve
5/x=18/24
x=6 2/3
-7 = x + 4
x = -11
2x + 3 = 9
x = 3
The highest recorded temperature in Warsaw, Missouri, is 118 degrees Fahrenheit. This is 185 degrees greater than the city's lowest recorded temperature. What is the lowest recorded temperature?
x + 185 = 118
x=67
Cassidy went to a football game with some of her friends. The tickets cost $6.50 each and they spent $17.50 on snacks. The total amount paid was $63. Write and solve an equation to determine the number of people p that went to the game.
6.50p + 17.50=63
p =7
x/15=4/16
x=3 3/4
x - 4 = -2
x = 2
-3x +5 = 14
x = -3
At the end of the week, Madison had -$55.98 in her checking account. This is $202.64 less than the amount she had at the beginning of the week. How much money did Madison have at the beginning of the week?
x - 202.64 = -55.98
x=$146.66
A caterer is preparing dinner for a party. She charges an initial fee of $16 dollars and $8.25 per person. How many people can attend a dinner that costs $131.50?
8.25x + 16=131.50
x = 14
An 8 ft. post casts a shadow of 5 ft. Max is 5 ft. tall. What is the length of Max's shadow?
3 1/8 feet
q - 8 = -9
x = -1
-2y - 7 = 3
y = -5
Rob had $4.50 in his checking account at the end of the day. This is $95.50 less than the amount he had at the beginning of the day. Write and solve an equation to determine the balance at the beginning of the day.
x - 95.50 = 4.50
x = $100
Amelia started with $54, and spent $6 each day at camp. She has $18 left. Write and solve an equation to find out how many days d she was at camp.
18+6d=54
d = 6
Levi's dad, who is 6 ft. tall, stood next to Big Ben. His dad casts a shadow of 5 ft., while Big Ben casts a shadow of 262.5 ft. How tall is Big Ben?
315 feet
-8y = 24
y = -3
5x - 3.8 = -6.4
x = -0.52
7 less than a number is 26. What is the number?
x-7=26
x=33
Diego's aquarium contains 30 1/2 gallons of water. He drains the water at a rate of 5 gallons per minute for cleaning. Write and solve an equation to determine in how many minutes the amount of water will reach 10 1/2 gallons.
10 1/2 + 5m = 30 1/2
m = 4
The sum of two consecutive even integers is 178. What are the two numbers?
88 and 90