Step 2 of 3 · Analysis complete

Your Knowledge Analysis

Grade 8 · Mathematics · Algebra — 7 concepts checked, each reported on its own.

Overall Understanding

You're solid on the fundamentals — two concepts are holding the score down.

Your answers were mapped concept by concept. Three areas came out strong, two need practice, and two are genuine knowledge gaps.

🟢 Strong
3

concepts secure

🟠 Practice
2

nearly there

🔴 Gaps
2

need teaching first

Strong Areas

3 concepts · average 89%

  • Variables92%
  • Basic equations88%
  • Number operations87%

Keep these warm with occasional mixed revision — no extra study needed.

Needs Practice

2 concepts · average 58%

  • Algebraic expressions61%
  • Multi-step equations55%

The method is there, but it isn't reliable yet once a question runs to more than one step.

Knowledge Gaps

2 concepts · average 30%

  • Factorization34%
  • Algebraic word problems26%

These need re-teaching before more practice will help. Start here.

What the analysis suggests

Our analysis suggests that you understand the fundamentals of algebra but need more practice with factorization and applying algebraic concepts to word problems.

Concept breakdown

Mastery by concept

Every bar is one concept inside Algebra. The colour and the label both carry the status, so nothing depends on colour alone.

Variables 92%
Basic equations 88%
Number operations 87%
Algebraic expressions 61%
Multi-step equations 55%
Factorization 34%
Algebraic word problems 26%
🟢 Strong · 75%+ 🟠 Needs practice · 45–74% 🔴 Knowledge gap · under 45%
View as a table
Concept mastery — Grade 8 Mathematics, Algebra (sample data)
ConceptStatusMastery
Variables🟢 Strong92%
Basic equations🟢 Strong88%
Number operations🟢 Strong87%
Algebraic expressions🟠 Needs practice61%
Multi-step equations🟠 Needs practice55%
Factorization🔴 Knowledge gap34%
Algebraic word problems🔴 Knowledge gap26%

Where the answers pointed

A sample of the reasoning behind the two gaps.

  • Factorization — 34%
    Common factors were spotted, but expressions of the form x² + bx + c were left unfactored. The rule is recognised, not yet applied.
  • Algebraic word problems — 26%
    Equations were solved correctly once written down — the difficulty is turning the sentence into the equation in the first place.
  • Multi-step equations — 55%
    One-step questions were all correct; errors appear when two operations have to be undone in order.
Recommended next

Factorization

Highest-priority gap in this chapter. Review the basic rules, then work through simple examples before anything else.

See my focus plan