Writing Two-Step Equations
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
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
x = 10 trees
What is a variable?
a symbol (usually a letter) standing in for an unknown numerical value in an equation
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
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
x = $78
What operation is the inverse of division?
Multiplication
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 = 15
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 = 60 Students
What is the reciprocal of 1/3?
3 or 3/1
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
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
x = $126
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
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
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
x = 9 hours
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