A-level Mathematics/OCR/C1/Equations/Solutions

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Manipulating Equations[edit | edit source]

Collecting Like Terms[edit | edit source]

1.

Here we only have terms, so we can add them together:

2.

We have a similar situation to problem 1, but this time with terms. We can combine them by adding their coefficients:

3.

Here we have three different terms in the mix (, and ) so we need to be a little more careful. We can only combine coefficients if they represent the same term. Separate the expression into terms of , and as follows:
Now combine the coefficients of the like terms:

4.

This is another case with three distinct terms (, and ). Combine the coefficients of like terms:


5.

Multiplication[edit | edit source]

Fractions[edit | edit source]

Solving Equations[edit | edit source]

Changing the Subject of an Equation[edit | edit source]

  1. Solve for x.

  1. Solve for z.

  1. Solve for y.

  1. Solve for x.

  1. Solve for b.

Solving Quadratic Equations[edit | edit source]

Find the Roots of:

Simultaneous Equations[edit | edit source]