Algebra

CoreMaths revision

Simultaneous Equations (Linear)

Interpret simultaneous equations as intersecting constraints and solve them efficiently.

Open calculator

Focus points

✓Use elimination and substitution.

✓Model two-quantity problems.

✓Interpret intersections geometrically.

orin

Orin

The Wise Owl

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

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 · elimination

Solve x+y=11 and x−y=3.

Question 2FluencyCore

Original practice · Free Online Revision

Skill · substitution

Solve 2x+3y=17 and 4x−y=5.

Question 3FluencyCore

Original practice · Free Online Revision

Skill · elimination

Solve 3x+2y=16 and 5x−2y=8.

Question 4ApplicationCore

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Skill · modelling

Two adult tickets and three child tickets cost $41. Three adult tickets and one child ticket cost $37. Find each price.

Question 5ApplicationCore

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Skill · modelling

A total of 23 coins are $1 and $2 coins worth $37. How many of each?

Question 6FluencyCore

Original practice · Free Online Revision

Skill · graph intersection

The lines y=2x+1 and y=−x+10 intersect at what point?

Question 7ReasoningStretch

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Skill · dependent systems

For what value of k do x+y=4 and 2x+2y=k have infinitely many solutions?

Question 8ChallengeStretch

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Skill · system classification

Find k if the system x+2y=5 and 3x+ky=16 has no solution.