I can write an equation for a real situation and check whether a given value is a solution by substituting it.Puedo escribir una ecuación para una situación real y comprobar si un valor dado es una solución sustituyéndolo.
MissionMisión · Sound StudioEstudio de sonido · night shiftturno de noche
Mix the track, then check the math.Mezcla la pista y revisa las matemáticas.
It is the late session. The producer hands you a stack of rough mixes with tricky levels, and every claim about a solution has to be proved before the tracks go out.
Es la sesión de la noche. El productor te da una pila de mezclas con niveles difíciles, y cada afirmación sobre una solución debe demostrarse antes de que salgan las pistas.
Word bankBanco de palabras 4 words4 palabrasequation, variable, solution, …ecuación, variable, solución, …
- equationecuación
- A math sentence with an equal sign that says two sides have the same value.Una oración matemática con un signo igual que dice que dos lados tienen el mismo valor.
- variablevariable
- A letter that stands for a number that is unknown or can change.Una letra que representa un número desconocido o que puede cambiar.
- solutionsolución
- A value that makes an equation true when you put it in place of the variable.Un valor que hace verdadera una ecuación cuando lo pones en lugar de la variable.
- substitutesustituir
- To replace a variable with a number so you can check the equation.Reemplazar una variable con un número para poder comprobar la ecuación.
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
- Write a real-world situation that can be modeled by the equation n / 5 = 9. Explain what n represents and verify your equation makes sense.
- Dara's playlist is 45 minutes long. It opens with an 18-minute intro, then t minutes of songs. She writes 18 + t = 45. Which value of t is the solution?
- t = 63
- t = 45
- t = 27
- t = 18
- Kofi checks mixing levels in the equation 3m = 42. For each test value m, fill in 3m. Then fill in how far 3m is from 42. A distance of 0 means the value is a solution.
- Ines needs a whole number t so that 2t = 26. She tries t = 10 and the left side is too small. She tries t = 15 and it is too big. Which whole number between 10 and 15 makes the equation true?
- Mateo says: 'After I gave away 9 stickers, I had 15 left.' He lets s be the number of stickers he started with. Which pair of statements is correct?
- s − 9 = 15, and s = 6 is a solution
- s + 9 = 15, and s = 6 is a solution
- 9 − s = 15, and s = 24 is a solution
- s − 9 = 15, and s = 24 is a solution
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.
- The value is x = 6. Sort each equation by whether x = 6 is a solution of it.
- Write an addition equation for a real situation, such as saving money or collecting items. Say what the variable means. Name one value that is a solution and one value that is not. Show the substitution for both and tell how you know.
- 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.
- Tariq writes an equation for 'a number decreased by 8 equals 5'.
- Lena tests whether w = 6 is a solution of w + 3 = 10.
- Jun tests whether c = 5 is a solution of 4c = 20.
- Amara and Dev test t = 9 in the equation t ÷ 3 = 3. Amara says 9 ÷ 3 = 3, so it is a solution. Dev says it is not a solution because 9 is not equal to 3. Who is right?
- Dev, because the value must match the right side.
- Both, because 9 and 3 are both in the problem.
- Amara, because 9 ÷ 3 = 3 makes both sides equal.
- Neither, because a solution must be less than 9.
- What is the best next move?
- Parts add to the whole.
- Write r + 35 = 17.
- Write r = 17, since 17 is the number that is known.
- Write r − 17 = 35.
- 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.
- The studio had some microphones. After 6 were sold, 11 were left. Which equation matches the story, with m for the starting number?
- m + 6 = 11
- 6 − m = 11
- m − 6 = 11
- 6m = 11
- A value p makes the equation p ÷ 4 = 9 true. What is p?
- Which value is a solution of 7y = 56?
- y = 49
- y = 63
- y = 392
- y = 8
- Which equation has n = 12 as a solution?
- n ÷ 4 = 3
- n + 9 = 3
- n − 5 = 17
- 2n = 14
- How many of these equations have w = 14 as a solution? w + 5 = 19, w − 5 = 9, 5w = 70, w ÷ 2 = 28.
- Make up a short story about a band or a recording studio that can be written as an equation. Write the equation, pick a number for the variable, and show by substituting whether that number is a solution.