I can write an equation to represent the relationship between two variable quantities and use it to solve a real problem.Puedo escribir una ecuación para representar la relación entre dos cantidades variables y usarla para resolver un problema real.
MissionMisión · Robot LabLaboratorio de robots
Test, measure, improve.Prueba, mide, mejora.
The Robot Lab runs on budgets and batteries. Each machine follows an equation, so you can substitute what you know, solve for what you do not, and check that the answer makes sense before the lab commits to a plan.
El Laboratorio de Robots funciona con presupuestos y baterías. Cada máquina sigue una ecuación, así que puedes sustituir lo que sabes, resolver lo que no sabes y comprobar que la respuesta tiene sentido antes de que el laboratorio se comprometa con un plan.
Word bankBanco de palabras 5 words5 palabrassolution, substitute, at least, …solución, sustituir, al menos, …
- solutionsolución
- A value of the variable that makes the equation true, like h = 8 in 6h = 48.Un valor de la variable que hace verdadera la ecuación, como h = 8 en 6h = 48.
- substitutesustituir
- To replace a variable with a number so you can compute.Reemplazar una variable por un número para poder calcular.
- at leastal menos
- That amount or more. The boundary number counts.Esa cantidad o más. El número límite cuenta.
- predictpredecir
- To use an equation or a pattern to find an amount you have not measured yet.Usar una ecuación o un patrón para hallar una cantidad que todavía no has medido.
- justifyjustificar
- To explain why your answer or recommendation makes sense, using the math.Explicar por qué tu respuesta o recomendación tiene sentido, usando las matemáticas.
Stage 1 of 5Etapa 1 de 5
Get ReadyPrepárate
Wake up what you know, then explore today's model.
Activa lo que sabes y luego explora el modelo de hoy.
- Dara has $40 and each item costs $5, so 5n = 40. She multiplies both sides by 5 and gets n = 200. Predict whether her answer is right. Test it by substituting. Then solve by working backward and say why 200 does not make sense in the story.
- A table pairs x = 1, 2, 3 with y = 4, 8, 12. Which equation fits?
- y = x + 3
- y = 4x
- y = x + 4
- y = x ÷ 4
- A bike travels 12 miles every hour. Which equation gives distance d after h hours?
- d = 12h
- d = 12 + h
- d = h ÷ 12
- d = 12 − h
- In the equation y = 5x, what is y when x = 6?
- 5
- 11
- 30
- 56
- 1 fresh problem with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Try ItInténtalo
Use the hints when you need them. Every wrong answer tells you why.
Usa las pistas cuando las necesites. Cada respuesta incorrecta te dice por qué.
- The assembly line produces 2.5 cars per hour. How many cars does it produce in one 8-hour shift?
- 10.5 cars
- 16 cars
- 20 cars
- 25 cars
- Let h = hours of operation and c = cars produced. Which equation represents the assembly line?
- c = 2.5h
- c = 2.5 + h
- h = 2.5c
- c = h ÷ 2.5
- Using the table (1 hour, 2.5 cars; 8 hours, 20 cars; 16 hours, 40 cars), how many cars are produced in 24 hours?
- 26.5 cars
- 40 cars
- 50 cars
- 60 cars
Stage 3 of 5Etapa 3 de 5
On Your OwnPor tu cuenta
Tables, mistakes to find, and problems with a few steps.
Tablas, errores por encontrar y problemas de varios pasos.
- The order requires 1,000 cars. Using 2.5h = 1,000, how many hours will the plant need?
- 40 hours
- 400 hours
- 997.5 hours
- 2,500 hours
- The plant needs 400 hours to fill the order. Running 24 hours a day, about how many days is that?
- 4 days
- About 17 days
- 50 days
- 400 days
- The goal is $500 at $12 per car. Using 12n = 500, at least how many cars must be washed?
- 40 cars
- 41 cars
- 42 cars
- 50 cars
- What is the best next move?
- Subtract 9 from 117 and call the result the hours.
- Put 117 in for h: p = 9 × 117.
- Put 117 in for p, giving 117 = 9h, and solve for h.
- Stop, because the equation p = 9h already gives the answer.
Stage 4 of 5Etapa 4 de 5 · OptionalOpcional
Practice MorePractica más
Optional extra practice. Press New numbers for another problem on the same skill.
Práctica extra opcional. Toca Números nuevos para otro problema de la misma habilidad.
- 6 fresh problems with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Show What You KnowDemuestra lo que sabes
Show what you learned today. Take your time; you can try again.
Muestra lo que aprendiste hoy. Tómate tu tiempo; puedes intentarlo otra vez.
- Bakery A charges $2 per cupcake plus a $10 delivery fee, so its cost equation is c = 2n + 10, where n is the number of cupcakes. Substituting Yelina's $110 budget, which equation should she solve to find n?
- 2n + 10 = 110
- 2n + 10 = 100
- 2n = 110 + 10
- n = 2(110) + 10
- Solving 2n + 10 = 110 for Bakery A, how many cupcakes can Yelina buy?
- 45 cupcakes
- 50 cupcakes
- 55 cupcakes
- 60 cupcakes
- Bakery B charges $2.50 per cupcake with no fee: cost = 2.5n. Solving 2.5n = 110 gives n = 44 cupcakes. Which bakery should Yelina choose to get more cupcakes within her $110 budget?
- Bakery A, because 50 cupcakes is more than 44 cupcakes
- Bakery B, because 2.5 is greater than 2
- Bakery A, because it has a delivery fee
- They are the same, because both cost exactly $110