Substitution — Whole-class Quiz
A 12-question interactive quiz on substitution for SAT Math. Questions climb the Bloom ladder — recognition, understanding, application, reasoning, mastery — and every item carries a worked explanation, a hint and the misconception it is designed to catch.
Projector-friendly, one question at a time.
Take the quiz
Question 1 of 12 · 0 answered · untimed
Solve for x: 9x + 4 = 31
Quiz details
TQ-MATH-SAT-15211
v1.1
SAT
Math
Algebra
Substitution
Edexcel
12
23
14
15 min
Mixed
- Recall the core rule behind substitution without prompting.
- Explain substitution in the student's own words.
- Apply substitution to routine and unfamiliar math problems.
- Spot and correct the common errors students make with substitution.
- Take your time. Aim to finish in about 15 minutes.
- Choose one answer per question. You can use the hint before answering.
- The explanation appears as soon as you answer, so you learn as you go.
- Review every wrong answer at the end before you retake.
The question ladder
Recognition → Understanding → Application → Reasoning → Mastery. Every quiz on FreeMathWorksheet climbs the same ladder on one subtopic, so a score tells you exactly where the gap is.
Recognition
Spot the correct definition, term or example.
3 questions · 3 marks
Understanding
Explain what the rule means in your own words.
2 questions · 2 marks
Application
Use the rule on a routine problem.
3 questions · 6 marks
Reasoning
Compare methods and justify a choice.
2 questions · 6 marks
Mastery
Unfamiliar, multi-step or error-spotting items.
2 questions · 6 marks
Answer key and marking scheme
20–23
Fluent in substitution, including unfamiliar contexts.
15–19
Reliable on routine items; reasoning mostly sound.
9–14
Secure with support, inconsistent without it.
0–8
Re-teach the core rule before moving on.
Teacher notes
- Use the recognition block as a two-minute entry ticket; it tells you who is ready for substitution.
- Anything below 14 marks means the application stage needs re-teaching, not more practice.
- Project the whole-class version and poll answers before revealing the explanation.
- Pair the results with the Substitution worksheet for targeted written practice.
Common student mistakes
- Dividing by 9 before subtracting 4.
- Dividing by 7 before subtracting 6.
- Dividing by 8 before subtracting 4.
- Dividing by 9 before subtracting 9.
- Dividing by 4 before subtracting 11.
What to do next
- Score below 9: work the Easy quiz, then the practice worksheet.
- Score 9–17: retake as a Timed Quiz to build fluency.
- Score above 17: move to the Challenge Quiz or the next subtopic.
- Ask the AI Tutor to re-teach any question you got wrong twice.
Switch mode
Same subtopic · same objectives · different test
Frequently asked
- How is this quiz marked?
- 12 questions worth 23 marks in total. The pass mark is 14, and the four bands run from Emerging to Mastered.
- When do I see the explanations?
- Immediately after each answer, so you learn as you go.
- What should I do with a low score?
- Work the Substitution practice worksheet, then retake this quiz. If the same stage drops marks twice, ask the AI Tutor to re-teach it.
Related resources
Work through substitution with a tutor if the reasoning stage cost you marks.
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