Lesson 8.38.3 Small Group · Group 1
Start hereWords, worked example, and sentence starters
Learning target With my small group, I can solve one-step multiplication and division equations using inverse operations — one step at a time, with support.
Why This Matters This is your support small group for Lesson 8.3. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| Inverse operationSpanish: Operación inversa | Two math actions that undo each other, like × and ÷. | × and ÷ |
| MultiplySpanish: Multiplicar | To add equal groups again and again. | 3 × 7 = 21 means 3 groups of 7 equals 21 |
| DivideSpanish: Dividir | To split into equal groups. | 20 ÷ 4 = 5 |
| IsolateSpanish: Despejar | To get the letter by itself on one side. | get p by itself |
| CoefficientSpanish: Coeficiente | The number in front of a letter, like the 3 in 3x. | the 3 in 3x |
| SolutionSpanish: Solución | A number that makes the equation or inequality true. | x = 3 is the solution of 6x = 18 because 6 × 3 = 18. |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
5 boxes each hold the same number of pencils, 45 in all. Solve 5b = 45.
- Divide both sides by 5: 5b ÷ 5 = 45 ÷ 5.
- Simplify: b = 9.
- Check: 5 × 9 = 45.
Answer: Each box holds 9 pencils.
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
Solve x ÷ 4 = 9.
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- The variable is multiplied by , so I both sides by it.
- My equation is because each group holds .
- The solution means in this problem.
- I checked my answer by multiplying and .
Word bank equationcoefficientmultiplydivideinverse operationisolateboth sidesequal groupssolutioncheckundobalance
Watch out!A common mistake
A common mistake in Solve Multiplication and Division Equations is applying the SAME operation again instead of the inverse
Lesson 8.38.3 Small Group · Group 1
Group 1Supported practice
Learning target With my small group, I can solve one-step multiplication and division equations using inverse operations — one step at a time, with support.
Why This Matters This is your support small group for Lesson 8.3. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.
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1Complete each step, then write the final answer.
4 equal parts make 28. Solve 4x = 28.
- 14x means 4 times x. What undoes multiplying by 4?
- 2Divide both sides by 4. What is x?
- 3Check: put 7 in for x. What is 4 × 7?
Final answer: -
2Complete each step, then write the final answer.
x split into 5 equal parts gives 6 in each part. Solve x ÷ 5 = 6.
- 1Is x multiplied by 5 or divided by 5?
- 2Multiply both sides by 5. What is x?
- 3Check: put 30 in for x. What is 30 ÷ 5?
Final answer: -
3Complete each step, then write the final answer.
Solve 6x = 54.
Show your workHint 6x means 6 times x. Divide both sides by 6.
Final answer: -
4Complete each step, then write the final answer.
Solve n ÷ 7 = 12.
Show your workHint n is divided by 7. Do the inverse to both sides.
Final answer: -
5Complete each step, then write the final answer.
The total c splits into 8 equal shares of $9. 8 friends share the cost of a pizza party equally. Each friend pays $9. Write and solve an equation for the total cost c.
Show your workHint The total is divided by 8. Write c ÷ 8 = 9. Then undo the division.
Final answer: -
6Complete each step, then write the final answer.
Lia solved 3x = 45 and got x = 135. Is she right? What is x?
Show your workHint Check Lia's answer: what is 3 × 135? Then think about what undoes multiplying by 3.
Final answer:
Explain your thinkingLia multiplied when she should have divided. How do you decide whether to multiply or divide both sides?
Sentence starter x is ___ by the number, so I ___ both sides. · I know my answer is right because ___.