Grade 6 Mathematics · Unit 8: Equations & InequalitiesStandard 6.AT.8

Lesson 8.38.1–8.3 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 8.1–8.3 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 8.1–8.3: 8.1 Understand Equations and Their Solutions, 8.2 Write and Solve Equations Using Addition or Subtraction, 8.3 Write and Solve Equations Using Multiplication or Division. Work one example from each lesson, then prove you're caught up in the mixed practice.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
EquationSpanish: Ecuación A math sentence with an equal sign showing both sides are the same. n + 8 = 20 means 'some number plus 8 equals 20'
VariableSpanish: Variable A letter that stands for a number that is unknown or can change. In n + 3 = 10, the letter n stands for the unknown number (n = 7)
Equal signSpanish: Signo igual The = sign, showing both sides are the same. 7 + 3 = 10 — both sides equal 10
ExpressionSpanish: Expresión A math phrase with numbers and letters, but no equal sign. 2x + 5 is an expression; it becomes an equation when you write 2x + 5 = 15
ConstantSpanish: Constante A fixed number in an expression or equation that does not change. In x + 7 = 12, the numbers 7 and 12 are constants; only x can change.
UnknownSpanish: Incógnita The value you are trying to find, usually shown with a variable. In n + 5 = 12, n is the unknown; you solve to find n = 7.

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.

  1. Divide both sides by 5: 5b ÷ 5 = 45 ÷ 5.
  2. Simplify: b = 9.
  3. 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.

Which value is a solution of n + 5 = 9: 3 or 4?

Answer:

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

Grade 6 Mathematics · Unit 8: Equations & InequalitiesStandard 6.AT.8

Lesson 8.38.1–8.3 Catch-Up

Catch-UpSkill bridge

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can show I am caught up on Lessons 8.1–8.3 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 8.1–8.3: 8.1 Understand Equations and Their Solutions, 8.2 Write and Solve Equations Using Addition or Subtraction, 8.3 Write and Solve Equations Using Multiplication or Division. Work one example from each lesson, then prove you're caught up in the mixed practice.

  1. 1Complete each step, then write the final answer.

    Which value is a solution of n + 4 = 11: 6 or 7?

    Show your work

    Hint Replace n with 6, then with 7. Which one makes 11?

    Final answer:
  2. 2Complete each step, then write the final answer.

    Which value is a solution of n − 2 = 8: 6 or 10?

    Show your work

    Hint Replace n with each value. Subtract 2. Which one gives 8?

    Final answer:
  3. 3Complete each step, then write the final answer.

    Solve n + 12 = 30.

    Show your work

    Hint 12 is added to n. Subtract 12 from both sides.

    Final answer:
  4. 4Complete each step, then write the final answer.

    Solve x − 9 = 16.

    Show your work

    Hint 9 is subtracted from x. Add 9 to both sides.

    Final answer:
  5. 5Complete each step, then write the final answer.

    Solve 2x = 18.

    Show your work

    Hint 2x means 2 times x. Divide both sides by 2.

    Final answer:
  6. 6Complete each step, then write the final answer.

    Solve x ÷ 3 = 5.

    Show your work

    Hint x is divided by 3. Multiply both sides by 3.

    Final answer:

Explain your thinkingHow do you decide whether to multiply or divide to solve an equation?

Sentence starter When I see ___ in the equation, I know to ___ both sides because the inverse of ___ is ___.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help