Write and Solve Equations Using Multiplication or Division
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 / Término | Definition / 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
Read each task. Show your work in the spaces provided and explain how you know.
1. Solve: 6x = 42
- A x = 7
- B x = 36
- C x = 48
- D x = 252
Answer:
2. Solve each equation, show your work, and check.
Complete each empty cell. Show your reasoning below.
| Equation | Work | Solution | Check |
|---|---|---|---|
| 8m = 56 | |||
| y / 6 = 11 | |||
| 12k = 96 |
3. A detective splits 54 clues equally among 9 case files. The equation 9c = 54 represents this. What is c?
- A c = 6
- B c = 9
- C c = 45
- D c = 63
Answer:
4. Find the Equation Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: