I can show that two expressions are equivalent by simplifying and combining like terms.Puedo mostrar que dos expresiones son equivalentes simplificando y combinando términos semejantes.
MissionMisión · Pixel ArcadeArcade de píxeles
Clear every level.Supera todos los niveles.
At the Pixel Arcade, two game designers wrote different score formulas for the same level. Your job is to find out which formulas always give the same score, so no player is cheated. Test, simplify, and catch the fakes.
En el Pixel Arcade, dos diseñadores de juegos escribieron fórmulas de puntaje diferentes para el mismo nivel. Tu trabajo es descubrir qué fórmulas siempre dan el mismo puntaje, para que ningún jugador salga perjudicado. Prueba, simplifica y atrapa las falsas.
Word bankBanco de palabras 5 words5 palabrasequivalent expressions, like terms, simplify, …expresiones equivalentes, términos semejantes, simplificar, …
- equivalent expressionsexpresiones equivalentes
- Expressions that have the same value for every value of the variable, even if they look different.Expresiones que tienen el mismo valor para todo valor de la variable, aunque se vean diferentes.
- like termstérminos semejantes
- Terms with the same letter to the same power, like 2n and 5n.Términos con la misma letra elevada a la misma potencia, como 2n y 5n.
- simplifysimplificar
- To rewrite an expression in a shorter form that has the same value.Reescribir una expresión en una forma más corta que tiene el mismo valor.
- combinecombinar
- To add or subtract like terms to make one term.Sumar o restar términos semejantes para formar un solo término.
- counterexamplecontraejemplo
- One test value that shows two expressions are not equivalent.Un valor de prueba que muestra que dos expresiones no son equivalentes.
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.
- Two designers write 2x + 6 and 3x. Predict whether they match. Then test x = 6 and x = 2. Explain why matching at one value does not prove two expressions are equivalent.
- Evaluate 4n + 3 when n = 5.
- 23
- 27
- 35
- 45
- Which expression means '7 more than a number x'?
- x + 7
- 7x
- x − 7
- 7 − x
- A ticket costs $9. Which expression gives the cost of t tickets?
- 9t
- t + 9
- 9 + t
- t ÷ 9
- 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.
- Which expression is equivalent to 4x + 3x?
- 7x
- 7x²
- 12x
- 43x
- Which expression is equivalent to 2(m + 5)?
- 2m + 10
- 2m + 5
- 7m
- m + 10
- Which property is shown: 3(x + 7) = 3x + 21?
- Commutative
- Distributive
- Associative
- Identity
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.
- Match each expression to its simplified equivalent.
- Fill in the table
- Spot the Combining Mistake
- What is the best next move?
- Add every number: 2 + 5 + 1 = 8, so the first is 8x.
- Combine the like terms 2x + 5x, then compare.
- Test only x = 0 and, since both give 1, say they are equivalent.
- Say they are different, because one has more terms.
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.
- Simplify 4h + 2h + 30.
- 4h + 32
- 6h + 30
- 6h + 30h
- 36h
- Are the two pricing formulas equivalent?
- Yes — 4h + 2h + 30 simplifies to exactly 6h + 30
- No — Client A pays more
- No — Client B pays more
- Only when h = 0
- Test it: what does each expression equal when h = 5?
- A = 50 and B = 60
- Both equal 60
- A = 60 and B = 55
- Both equal 90