I can model and solve real-world problems using equations and inequalities.Puedo representar y resolver problemas de la vida real usando ecuaciones y desigualdades.
MissionMisión · Case FilesExpedientes
Follow the numbers to the truth.Sigue los números hasta la verdad.
Welcome to the Case Files. Every clue hides a number, and some clues give an exact value while others give only a limit. Pick the right model, solve it, and check that your answer makes sense.
Te damos la bienvenida a los expedientes. Cada pista esconde un número, y algunas pistas dan un valor exacto mientras que otras solo dan un límite. Elige el modelo correcto, resuélvelo y comprueba que tu respuesta tenga sentido.
Word bankBanco de palabras 4 words4 palabrasmodel, constraint, reasonableness, …modelar, restricción, razonabilidad, …
- modelmodelar
- To show a real-life situation with an equation or an inequality.Mostrar una situación de la vida real con una ecuación o una desigualdad.
- constraintrestricción
- A limit in a problem that tells what values are allowed.Un límite en un problema que dice qué valores se permiten.
- reasonablenessrazonabilidad
- Checking whether an answer makes sense in the story.Comprobar si una respuesta tiene sentido en la historia.
- inequalitydesigualdad
- A math sentence that compares two sides with <, >, ≤ or ≥.Una oración matemática que compara dos lados con <, >, ≤ o ≥.
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.
- A locker holds at most 36 pounds, and each box weighs 4 pounds: 4b ≤ 36. Predict whether b = 9 and b = 10 are solutions. Test both by substituting. Then write what changes if the clue says the boxes weigh exactly 36 pounds.
- Solve: x − 4 < 11
- x < 7
- x > 15
- x = 15
- x < 15
- Solve: x + 6 > 14
- x < 8
- x = 8
- x > 8
- x > 20
- Solve: x + 10 ≥ 25
- x ≥ 15
- x ≤ 15
- x = 15
- x ≥ 35
- 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.
- A museum has some paintings. After adding 12, they have 45. Which equation models this?
- p + 12 = 45
- p − 12 = 45
- 12p = 45
- p / 12 = 45
- A detective needs more than 8 hours to finish the investigation. She has already worked 3 hours. Which inequality represents the additional hours h she needs?
- 3 + h > 8
- 3 + h = 8
- h > 3
- 8 + h > 3
- Which model is correct for: 'A number divided by 6 equals 7'?
- n / 6 = 7
- 6n = 7
- n − 6 = 7
- n + 6 = 7
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.
- A student solved 4n = 52 and got n = 13. Is the answer reasonable if n represents the number of notebooks in a box?
- No — 13 is too many notebooks
- No — the answer should be 48
- Yes — 13 notebooks per box is reasonable
- Yes — but only if n is a fraction
- Spot the Common Mistake
- Room 2: The vault keypad clue reads, 'A number of stolen coins plus 6 equals 14.' Solve x + 6 = 14 to find the code x.
- x = 2
- x = 6
- x = 8
- x = 20
- What is the best next move?
- Write 85 + c = 200, because 200 is the number to reach.
- Write 85 + c ≤ 200.
- Compare 85 + c with the 200 goal.
- Write c − 85 ≥ 200.
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.
- 5 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.
- Solve 320 + r ≤ 500.
- r ≤ 180
- r ≥ 180
- r ≤ 500
- r ≤ 820
- Solve 4f = 60.
- f = 15
- f = 56
- f = 64
- f = 240
- Why is one an equation and the other an inequality?
- Because equations are for money and inequalities are for counting
- Because 4 is smaller than 320
- There is no real difference
- The flashlights cost exactly $60, but the budget is a limit she must stay under