Solving One-Step Equations
x + 55 = 100
x = 45
Actualmente hay 47 árboles en el parque. Los trabajadores del parque plantarán más árboles hoy. Cuando terminen, habrá 57 árboles en el parque. ¿Cuántos árboles plantaron los trabajadores?
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? / Actualmente hay 47 árboles en el parque. Los trabajadores del parque plantarán más árboles hoy. Cuando terminen, habrá 57 árboles en el parque. ¿Cuántos árboles plantaron los trabajadores?
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
x - 80 = 30
x = 110
Después de pagar $7 por una pila de brownies, a Lacey le quedan $71. ¿Cuánto dinero tenía antes de comprar los 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? / Después de pagar $7 por una pila de brownies, a Lacey le quedan $71. ¿Cuánto dinero tenía antes de comprar los brownies?
x - 7 = 71
x = $78
What operation is the inverse of division?
Multiplication
4x = 24
x = 6
424 estudiantes fueron de viaje al zoológico. Los 7 autobuses estaban llenos y 4 estudiantes tienen que viajar en coches. ¿Cuántos estudiantes había en cada autobús?
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
x/3 = 12
x = 36
Después de comer en un restaurante, Fred, Sam y Janice decidieron dividir la cuenta en partes iguales. Si cada persona pagó $42, ¿cuál fue el total de la factura?
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
-x/4 = 5
x = -20
Una pista de patinaje cobra una tarifa fija de $16 más $7 por hora para una fiesta. Laurie pagó $79 para alquilar la pista. ¿Cuántas horas pagó para hacer su fiesta?
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