MSTAR Practice Worksheet

Lesson 8-3: Write and Solve Equations Using Multiplication or Division

Grade 6 Mathematics · Standard 6.AT.8

Name: Date:

These are MSTAR-style questions written for this curriculum to rehearse the format. They are not official Maryland assessment items. MSTAR — Maryland's new state test, first given in spring 2027 — uses the same kinds of questions you see here: selected response, select-all, two-part evidence questions, and written responses.

Part A — Skills Check

Warm up with the lesson's core skills — one best answer each.

Question 1Selected response · 1 point

Solve: 6x = 42

  • Ax = 7
  • Bx = 36
  • Cx = 48
  • Dx = 252
Question 2Selected response · 1 point

Solve: n / 3 = 8

  • An = 3
  • Bn = 5
  • Cn = 11
  • Dn = 24
Question 3Selected response · 1 point

Solve: 9m = 63

  • Am = 7
  • Bm = 54
  • Cm = 72
  • Dm = 567
Question 4Selected response · 1 point

Solve: y / 7 = 5

  • Ay = 2
  • By = 7
  • Cy = 12
  • Dy = 35
Question 5Selected response · 1 point

A detective splits 54 clues equally among 9 case files. The equation 9c = 54 represents this. What is c?

  • Ac = 6
  • Bc = 9
  • Cc = 45
  • Dc = 63
Question 6Selected response · 1 point

Vault A is sealed with 4x = 32. Crack the lock: what is x?

  • Ax = 8
  • Bx = 28
  • Cx = 36
  • Dx = 128

Part B — Test-Format Questions

These match the state test's formats: two-part questions, select-all, and written responses.

Question 7Two-part question

Part A

What is the solution of 6m = 54?

Fill in the bubble next to the one best answer.

  • Am = 9
  • Bm = 48
  • Cm = 60
  • Dm = 324

Part B

Answer Part A before Part B — Part B asks about your reasoning.

Which reasoning justifies the step used to find that solution?

  • ADivision undoes multiplication, so dividing both sides by 6 isolates the variable.
  • BSubtracting 6 from both sides removes the 6 that is written next to the variable.
  • CMultiplying both sides by 6 isolates the variable because the same operation must be repeated.
  • DThe coefficient can simply be dropped because 6 is smaller than 54.
Question 8Select all that apply

Select ALL equations that have x = 8 as their solution.

Mark the box next to EVERY answer that is true. More than one is correct.

  • A4x = 32
  • Bx ÷ 2 = 4
  • C3x = 21
  • Dx ÷ 4 = 32
  • E56 = 7x

Part C — Show Your Thinking

Answer in writing, the way the state test's constructed responses work.

Question 9Written response · 2 points

A bakery packed muffins into boxes of 8. They made 96 muffins total. Write an equation, solve it, and explain why your answer is reasonable. Then write a different situation that uses division and has the same answer.

Write your answer in complete sentences. Show or explain your mathematical thinking.

⬇️ Download PDF