Solving One-Step Equations
x + 55 = 100
x = 45
There are 47 trees currently in the park. Park workers will plant more trees today. When they're done, there will be 57 trees in the park. How many trees did the workers plant?
47 + x = 57
6x + 11 = 65
x = 9
What is a variable?
a symbol (usually a letter) standing in for an unknown numerical value in an equation
Jake tossed a six-sided die. What is the probability that he will roll a 2?
1/6
x - 80 = 30
x = 110
After paying $7 for a stack of brownies, Lacey has $71 left. How much money did she have before buying the brownies?
x - 7 = 71
9x - 21 = 60
x = 9
What operation is the inverse of division?
Multiplication
Jake tossed a six-sided die. What is the probability that he will roll an odd number?
3/6 or 1/2
4x = 24
x = 6
424 students went on a trip to the zoo. All 7 buses were filled, and 4 students have to travel in cars. How many students were in each bus?
7x + 4 = 424
x/2 - 5 = 25
x = 60
What is the reciprocal of 1/3?
3 or 3/1
Jake tossed a six-sided die. What is the probability that he will roll a 7?
0/6 or 0
x/3 = 12
x = 36
After eating at a restaurant, Fred, Sam, and Janice decided to divide the bill evenly. If each person paid $42, what was the total of the bill?
x/3 = 42
g/-5 + 3 = -13
g = 80
Complete the process of solving the equation.
Fill in the missing term on each line. Simplify any fractions.
2d+4=12
2d=
2d=8
d=4
Jake tossed two coins. What is the probability that both coins will land on heads?
1/4
-x/4 = 5
x = -20
A roller-skating rink charges a $16 fixed fee plus $7 an hour for a party. Laurie paid $79 to rent the rink. How many hours did she pay to have her party?
16 + 7x = 79
2/3x + 4 = 16
x = 18
The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for 9 days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of $25 applied to their rental cost. The Logans will pay $920 in all.
9d-25=920
Jake tossed ten coins. What is the probability that all 10 coins will land on heads?
1/1024