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0580 · Notes & worked examples

Linear equations with brackets · Short practice

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Recall

Linear equations with brackets — objective 1

Maths4U Original · Short practice

Solve \(4 x - 4 = x + 17\). A changed constant is used only in the part that explicitly states it.

Solve the equation for x.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Linear equations with brackets — objective 1

Maths4U Original · Short practice

Solve \(6 x - 12 = 2 x + 20\). A changed constant is used only in the part that explicitly states it.

Solve the equation for x.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Method

Linear equations with brackets — objective 2

Maths4U Original · Short practice

Solve \(6 x - 12 = 2 x + 20\). A changed constant is used only in the part that explicitly states it.

Find the common value of its two sides at the solution.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Linear equations with brackets — objective 2

Maths4U Original · Short practice

Solve \(4 x - 12 = 3 x - 10\). A changed constant is used only in the part that explicitly states it.

Find the common value of its two sides at the solution.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Apply

Linear equations with brackets — objective 3

Maths4U Original · Short practice

Solve \(4 x - 12 = 3 x - 10\). A changed constant is used only in the part that explicitly states it.

After collecting x terms on the left and constants on the right, find the coefficient of x.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Linear equations with brackets — objective 3

Maths4U Original · Short practice

Solve \(3 x - 3 = x + 3\). A changed constant is used only in the part that explicitly states it.

After collecting x terms on the left and constants on the right, find the coefficient of x.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Check understanding

Linear equations with brackets — objective 4

Maths4U Original · Short practice

Solve \(3 x - 3 = x + 3\). A changed constant is used only in the part that explicitly states it.

If only the constant on the right changes to 7, find the new solution.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Linear equations with brackets — objective 4

Maths4U Original · Short practice

Solve \(5 x - 10 = 2 x + 2\). A changed constant is used only in the part that explicitly states it.

If only the constant on the right changes to 11, find the new solution.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Try written exam-style problems →