Solving Linear Equations
Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients
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Solving Linear Equations means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Two colours of counters; Paper for ratio or percent notation. 1. Say the goal of Solving Linear Equations in plain words once. 2. Adult shows 2 red : 3 blue and says the ratio (or 40% of 10). 3. Child builds three ratios or percentage amounts and records each notation. 4. Fresh check: one fresh ratio or percent reading. Record and stop. Done: three correct ratio/percent records. Proof: parent note of examples and results. Stop: End after the fresh check; keep optional challenge for another day.
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Start practiceSolving Linear Equations practice
Practice key ideas from Solving Linear Equations.
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
Comparing Fractions with the Same Denominator, Assessment Variation
Before you open · source notes
Comparing Fractions with the Same Denominator, Assessment Variation supports solving linear equations. Not every worksheet pack.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to explain one step of “Comparing Fractions with the Same Denominator, Assessment Variation” in their own words.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Comparing Fractions with the Same Denominator, Assessment Variation.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Solve one-step and two-step linear equations in one variable
- Solve equations requiring expansion of brackets and collection of like terms
- Solve equations with the unknown on both sides and with fractional or negative coefficients
“If your child is given an equation like 3x + 7 = 22, can they work through the steps to find the value of x?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 11–14
Standards