Solving simple rational equations

A question is this type if and only if it requires solving an equation where the unknown appears in a denominator (e.g. (3x+1)/(2x) = 4), leading to a linear or simple quadratic after clearing fractions.

5 questions · Easy -1.2

1.02c Simultaneous equations: two variables by elimination and substitution

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CAIE P1 2022 November Q1

3 marks Moderate -0.8

1 Solve the equation \(3 x + 2 = \frac { 2 } { x - 1 }\).

OCR MEI C1 2009 January Q6

3 marks Easy -1.8

6 Solve the equation \(\frac { 3 x + 1 } { 2 x } = 4\).

OCR MEI C1 2007 June Q7

3 marks Easy -1.2

7 Solve the equation \(\frac { 4 x + 5 } { 2 x } = - 3\).

OCR MEI C1 Q11

3 marks Easy -1.2

Solve the equation \(\frac{3x + 1}{2x} = 4\). [3]

OCR MEI C1 Q5

3 marks Moderate -0.8

Solve the equation \(\frac{4x + 5}{2x} = -3\). [3]