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studyAlgebra
FoundationMaths revision

Linear Equations

Solve one-variable equations by preserving equality and interpreting solutions in context.

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Focus points
✓Undo operations while maintaining equality.
✓Solve equations with brackets and fractions.
✓Model short word problems with equations.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · one-step linear equation
Solve 5x − 13 = 32.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · bracketed equation
Solve 4(2x − 3) = 3x + 18.
Question 3FluencyCore
Original practice · Free Online Revision
Skill · fractional equation
Solve (x−2)/3 + (x+1)/2 = 6.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · linear equation
Solve 7 − 2(3y − 1) = 5y + 20.
Question 5ApplicationCore
Original practice · Free Online Revision
Skill · equation modelling
The sum of three consecutive integers is 72. Find them.
Question 6ApplicationCore
Original practice · Free Online Revision
Skill · linear model
A taxi charges $4.50 plus $1.80 per kilometre. A trip costs $20.70. How far was the trip?
Question 7ReasoningStretch
Original practice · Free Online Revision
Skill · identity reasoning
For what value of k does 3(x−2)+k = 3x+5 hold for every x?
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · identity
The equation a(x−2)=3x−6 has infinitely many solutions. Find a.