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Solve a multistep mathematics problem

About 29 minutes · 7 reading + 22 practice and checks
Time includes reading, practice, and questions. Extra videos or further study are optional.
See this course’s project requirements

Assemble your original subject practice and correction records into a next-stage high-school-equivalency learning plan.

Keep your working files in your own notebook or software. Save a private description, checklist, and work link in My Proof.

What to include

  • Create a local-route verification sheet distinguishing verified facts from unanswered questions.
  • Complete and explain original reading/writing, mathematics, science, and social-studies tasks.
  • Classify errors by concept, reading, execution, or time/format issue and correct them.
  • Choose two priority skills using observed evidence and schedule manageable practice.
  • List appropriate questions for an approved local preparation provider, without submitting personal records.

Review and revise

Use these criteria to check your work and choose what to improve.

  • Evidence: each priority is supported by a specific practice response.
  • Reasoning: corrections explain the cause of an error and a better method.
  • Route accuracy: local rules remain qualified and unresolved details are explicit.
  • Feasibility: the plan includes practice, feedback, and a reassessment checkpoint.
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Before you begin

The idea in everyday life

A mathematics task can combine familiar operations in an unfamiliar order. Understanding what each number represents is more useful than hunting for a keyword. You will use an invented learning-center supply problem to practice percentages, a simple equation, and an independent check. A calculator may support arithmetic after you set up the relationship.

The idea

Translate the situation before choosing an operation.

Try it

One step at a time.

Use the sample or information you have permission to use. Keep your work as you go. You can pause between steps.

  1. 1

    List the known budget, fixed board cost, booklet cost, and unknown booklet count from the example. Explain why the total cannot exceed the budget.

  2. 2

    Write a cost relationship using a letter for the count. Solve it one operation at a time, retaining the distinction between currency units and booklet counts.

  3. 3

    Check your maximum whole-number answer by calculating total cost and the cost of one more booklet. A boundary check is stronger than merely repeating the division.

  4. 4

    Calculate the completion percentage for 18 of 24 learners and explain the denominator. Then redo the supply problem with a budget of 66 units, keeping prices unchanged.

  5. 5

    Save the setup, calculations, checks, and any corrected mistake. Name whether a mistake came from interpreting the question, choosing the relationship, arithmetic, or recording the final answer.

Example

See how it works.

Fictional scenario: A study group has a 72-unit supply budget. A reusable board costs 24 units and each practice booklet costs 6 units. Fin writes 24 + 6b ≤ 72, where b is the whole number of booklets. Subtracting 24 leaves 48, and 48 ÷ 6 gives eight booklets. Nine would cost 78, exceeding the budget. A separate attendance record shows 18 of 24 learners completed a task: 18 ÷ 24 = 0.75, or 75%. Fin labels this completion percentage separately from the supply equation.

Check your work

Did you cover these?

  • The 72-unit budget permits eight booklets.
  • 18 of 24 equals 75%.
  • The revised 66-unit budget permits seven booklets.
Your work

What to finish

A checked supply-budget solution and a labeled completion-percentage calculation.

Common mistake

Watch for this

Using the wrong denominator or forgetting that booklets must be whole units.

How can I tell I understand it?

You solve a new budget limit and demonstrate that the next whole count would exceed it.

Try 3 questions

Quick knowledge check

Answer all 3 questions. Get at least 2 right and the lesson completes automatically.

Not yet passed

You’ll get an explanation for each answer. Signed in? Your results save to your account.

1A kit costs 15 units plus 4 units per notebook. With a 43-unit limit, what is the maximum notebook count?
2Twenty-one of thirty learners finish a practice set. What percentage finish?
3A learner solves 5x + 8 = 33 and gets x = 5. Which check verifies it?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
3
Finish this lesson

Pass the check. We’ll save the progress.

Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.

Go to the knowledge check
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Sources and further reading

Explore the references behind this lesson.

OpenStax, Prealgebra 2e: Visualize Fractions
Source & access notes · checked 2026-09-10

Opened fraction models and mixed-number instruction; elementary practice here is original and not a test blueprint.

Access: Free public reading; no account or purchase required.

Reuse: Linked for further study. Life Starter explanations, scenarios, and assessments are original; free access alone does not grant reuse rights.

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