I can use the distributive property to expand and factor expressions.Puedo usar la propiedad distributiva para desarrollar y factorizar expresiones.
MissionMisión · Home FieldCancha local
Train like a champion.Entrena como un campeón.
Welcome to Home Field! The team store is packing bundles for opening day, and every order can be counted two ways. Show that both ways match and the coach will sign off.
¡Bienvenidos a Cancha local! La tienda del equipo prepara paquetes para el día inaugural, y cada pedido se puede contar de dos maneras. Demuestra que las dos coinciden y el entrenador lo aprobará.
Word bankBanco de palabras 5 words5 palabrasdistributive property, expand, factor, …propiedad distributiva, desarrollar, factor, …
- distributive propertypropiedad distributiva
- Multiplying a sum by a number is the same as multiplying each part and adding: a(b + c) = ab + ac.Multiplicar una suma por un número es lo mismo que multiplicar cada parte y sumar: a(b + c) = ab + ac.
- expanddesarrollar
- To multiply out the parentheses, like 3(x + 4) = 3x + 12.Multiplicar lo que está dentro del paréntesis, como 3(x + 4) = 3x + 12.
- factorfactor
- A number that divides another evenly. To factor an expression is to pull out a common factor: 3x + 12 = 3(x + 4).Un número que divide exactamente a otro. Factorizar una expresión es sacar un factor común: 3x + 12 = 3(x + 4).
- equivalentequivalente
- Expressions that always have the same value, whatever the variable is.Expresiones que siempre tienen el mismo valor, sin importar cuál sea la variable.
- coefficientcoeficiente
- The number in front of a variable, like the 3 in 3x.El número que está delante de una variable, como el 3 en 3x.
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 student says 3(x + 4) = 3x + 4. Test 3(x + 4) and 3x + 4 at x = 2 and at x = 5. Write the correct expanded form and explain why the 3 must multiply both terms inside the parentheses.
- Which expression finds 7 × 23 by splitting 23 into 20 + 3?
- 7 × 20 + 3 × 1
- 7 × 20 + 7 × 3
- 7 × 20 × 3
- 7 + 20 + 3
- What is 3(10 − 4)?
- What is the greatest common factor of 16 and 40?
- 4
- 2
- 80
- 8
- 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.
- Expand 6(n + 3) using the distributive property.
- 6n + 18
- 6n + 3
- 6n + 9
- n + 18
- Expand 4(5 − 2) using the distributive property.
- 9
- 12
- 20 − 2
- 22
- Expand 3(x + 4) using the distributive property.
- 3x + 12
- 3x + 4
- 7x
- x + 12
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.
- Fill in the table
- Match each factored form to its expanded form.
- Spot the Common Mistake
- What is the best next move?
- Write 15x + 2.
- Multiply 5 by 3x and 5 by 2.
- Combine 3x + 2 into 5x, then multiply by 5.
- Add 5 + 3x + 2 to get 3x + 7.
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.
- Distribute: 8(12 + 9) = ?
- 8 × 12 + 8 × 9
- 8 × 12 + 9
- 8 + 12 × 9
- 8 × 21 × 8
- What is the total cost for 8 practice rooms?
- $21
- $96
- $105
- $168
- A student wrote 8(12 + 9) = 8 × 12 + 9 = 105. What went wrong?
- They added instead of multiplying
- They used the wrong prices
- They forgot to multiply the 9 by 8 as well
- They distributed too many times