Write and Solve Equations Using Multiplication or Division

6.AT.8 · Unit 8 · Lesson 3

Name   Period

Objectives / Objetivos

Content Objective: I can solve one-step multiplication and division equations using inverse operations.

Language Objective: I can explain my steps using the words inverse operation, multiply, divide, and isolate.

Key Idea / Idea clave

Solving Multiplication & Division Equations. Formula: ax = b → x = b/a | x/a = b → x = a · b. 1. Identify the operation applied to the variable. 2. Use the inverse operation: Divide to undo multiplication; multiply to undo division. 3. Balance: Apply the inverse operation to both sides to isolate the variable

I Notice / Observo

  • What does the 3 represent in the equation?
  • What does x represent?

I Wonder / Me pregunto

  • What if there were 5 boxes instead of 3?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Solve Multiplication and Division Equations
Resolver ecuaciones de multiplicación y división		Use inverse multiplication or division to isolate the variable.
Usar la multiplicación o división inversa para aislar la variable.
Inverse operation
Operación inversa		Two math actions that undo each other, like × and ÷.
Dos operaciones que se deshacen entre sí, como × y ÷.
Multiply
Multiplicar		To add equal groups again and again.
Sumar grupos iguales una y otra vez.
Divide
Dividir		To split into equal groups.
Repartir en grupos iguales.
Isolate
Despejar		To get the letter by itself on one side.
Dejar la letra sola en un lado.
Coefficient
Coeficiente		The number in front of a letter, like the 3 in 3x.
El número frente a una letra, como el 3 en 3x.

Practice Preview / Vista previa de práctica

  1. Solve: 6x = 42
    1. x = 7
    2. x = 48
    3. x = 36
    4. x = 252
  2. Solve each equation, show your work, and check.
  3. A detective splits 54 clues equally among 9 case files. The equation 9c = 54 represents this. What is c?
    1. c = 6
    2. c = 63
    3. c = 45
    4. c = 9
  4. Find the Equation Error
    1. Step 1: Equation — x / 5 = 12
    2. Step 2: Identify inverse — Inverse of division is division
    3. Step 3: Apply to both sides — x / 5 / 5 = 12 / 5
    4. Step 4: Simplify — x = 2.4

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: