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Edexcel GCSE Maths Linear equations

Linear equations

This page covers the following topics:

To find the unknown in a linear equation the balancing method can be used. In the balancing method we either add or subtract the same value on each side of the equation so that only the unknown is left on one side of the equal sign.

Solving linear equations

To solve a linear equation that contains a set of brackets first use the balance method so that the brackets are alone on one side of the equation. Next divide the whole equation by the value in front of the brackets and then use the balance method to solve the rest of the equation.

Linear equations with brackets

To prove that two expressions are equivalent use the method to solve linear equations on both expressions and show that they have the same solution.

Equivalent expressions

1

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Solve 7x βˆ’ 2 = βˆ’9.

Edexcel GCSE Maths Linear equations Solve 7x βˆ’ 2 = βˆ’9.
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2

βœ…

Let x = 3. Which of the following equations does x not solve?

Edexcel GCSE Maths Linear equations Let x = 3. Which of the following equations does x not solve?
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3

βœ…

Solve 3(w + 2) = 21 for w.

Edexcel GCSE Maths Linear equations Solve 3(w + 2) = 21 for w.
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4

βœ…

Solve βˆ’4(x βˆ’ 4) = 7.

Edexcel GCSE Maths Linear equations Solve βˆ’4(x βˆ’ 4) = 7.
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5

βœ…

Solve 2(3 βˆ’ x) + 4 = 4x βˆ’ 2.

Edexcel GCSE Maths Linear equations Solve 2(3 βˆ’ x) + 4 = 4x βˆ’ 2.
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6

βœ…

Prove that βˆ’4x + 5 = 9 and 2x + 5 = 3 are equivalent.

Edexcel GCSE Maths Linear equations Prove that βˆ’4x + 5 = 9 and 2x + 5 = 3 are equivalent.
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7

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Are the expressions 3x + 1 = 16 and 4x βˆ’ 1 = 11 equivalent? If so, prove this.

Edexcel GCSE Maths Linear equations Are the expressions 3x + 1 = 16 and 4x βˆ’ 1 = 11 equivalent? If so, prove this.
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8

βœ…

Which of the following equations are equivalent?
A) 2(x + 1) = 4
B) 3x + 4 = 1
C) βˆ’3(x + 2) + 2 = βˆ’1

Edexcel GCSE Maths Linear equations Which of the following equations are equivalent? 
A) 2(x + 1) = 4 
B) 3x + 4 = 1 
C) βˆ’3(x + 2) + 2 = βˆ’1
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