I can solve one-step addition and subtraction equations using inverse operations.Puedo resolver ecuaciones de suma y resta de un paso usando operaciones inversas.
MissionMisión · Home FieldCancha local · night shiftturno de noche
Train like a champion.Entrena como un campeón.
The stadium lights are on and the stats crew has a stack of tricky scoreboards. The head coach wants every missing number solved, balanced on both sides, and checked before the game.
Las luces del estadio están encendidas y el equipo de estadísticas tiene una pila de marcadores difíciles. El entrenador quiere cada número faltante resuelto, equilibrado en los dos lados y comprobado antes del juego.
Word bankBanco de palabras 4 words4 palabrasinverse operation, isolate, solution, …operación inversa, despejar, solución, …
- inverse operationoperación inversa
- An operation that undoes another one. Addition and subtraction are inverses.Una operación que deshace otra. La suma y la resta son inversas.
- isolatedespejar
- To get the variable by itself on one side of the equation.Dejar la variable sola en un lado de la ecuación.
- solutionsolución
- A number that makes the equation true when it replaces the variable.Un número que hace verdadera la ecuación cuando reemplaza a la variable.
- balanceequilibrio
- Keeping both sides equal by doing the same thing to each side.Mantener iguales los dos lados haciendo lo mismo en cada uno.
Stage 1 of 5Etapa 1 de 5
Start StrongEmpieza fuerte
Each rung is harder than the last, and the numbers change every time.
Cada peldaño es más difícil que el anterior y los números cambian cada vez.
- 6 fresh problems with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Stretch Your ThinkingAmplía tu pensamiento
Plan, solve, then check that your answer makes sense.
Planea, resuelve y revisa que tu respuesta tenga sentido.
- Find the Equation Error
- A detective solved x + 25 = 60 and got x = 35. Another detective solved y − 25 = 60 and got y = 35. Are both correct? Explain using inverse operations and check each answer.
- Theo's team has scored 28 points and needs 50 to win. He writes 28 + p = 50, where p is the points still needed. Which step solves it, and what is p?
- Add 28 to both sides, so p = 78
- Subtract 50 from both sides, so p = −22
- Subtract 28 from both sides, so p = 22
- No step is needed, so p = 50
- Kwame's best long jump last season was 4.1 meters, which is 0.35 meters shorter than his best jump j this season. The equation is j − 0.35 = 4.1. How many meters is his jump this season?
- Solve each stat equation. Type the value of s.
- Two equations are on the coach's board: a + 9 = 30 and b − 9 = 30. Which statement about their solutions is true?
- a = 21 and b = 39
- a = 39 and b = 21
- a = 21 and b = 21
- a = 39 and b = 39
Stage 3 of 5Etapa 3 de 5
InvestigateInvestiga
Use the model to test an idea. Then check it.
Usa el modelo para probar una idea. Luego compruébala.
- Match each equation to the first step that gets the variable alone.
- Build a mistake detector. Write a subtraction equation about a real situation, such as a price after a coupon. Show the wrong answer a classmate gets by subtracting again, prove it is wrong by substituting, then show the correct steps.
- 4 fresh problems with new numbers each time (interactive only).
Stage 4 of 5Etapa 4 de 5
Find and FixEncuentra y corrige
Somebody made a mistake. Find the step and fix it.
Alguien cometió un error. Encuentra el paso y corrígelo.
- Wen solves y − 9 = 24.
- Diego solves n + 12 = 35.
- Aaliyah solves p + 2.4 = 9.1.
- Beatriz and Hamza both found a solution for y − 6 = 14. Beatriz got y = 20 and checked 20 − 6 = 14. Hamza got y = 8 and checked 8 + 6 = 14. Whose check proves the solution?
- Hamza's, because 8 + 6 = 14 is true.
- Beatriz: 20 − 6 = 14 checks the equation.
- Both, because both checks end in 14.
- Neither, because a check cannot prove a solution.
- What is the best next move?
- Work out 2.5 − 7.5 to find y.
- Add 2.5 to both sides.
- Rewrite it as y − 2.5 = 7.5 first.
- Subtract 2.5 from both sides.
- 1 fresh problem with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Prove Your UnderstandingDemuestra tu comprensión
Say how sure you are, solve, then create a problem of your own.
Di qué tan seguro estás, resuelve y luego crea un problema tuyo.
- Which equation has m = 18 as its solution?
- m + 7 = 11
- m + 7 = 18
- m − 7 = 11
- m − 7 = 25
- Solve q + 3.6 = 10.2.
- Pita's relay team must swim 36 laps in all. They have done d laps and 15 laps are left. Which equation fits the story and gives the right value of d?
- d + 15 = 36, so d = 21
- d − 15 = 36, so d = 51
- d + 15 = 36, so d = 51
- d + 15 = 36, so d = 15
- Emre's team lost 9 yards on a play and is now at the 34-yard line. The equation is y − 9 = 34, where y is the line where the play started. What was y?
- Which equation has the greatest solution?
- w + 4 = 20
- w − 4 = 20
- w + 14 = 20
- w − 14 = 20
- Write your own sports problem that fits an equation like x + a = b or x − a = b. Solve it with an inverse operation on both sides, then check your answer in the original equation.