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Topic: Algebraic Manipulation and Formulae (Higher - Unit 2)

Specification References: N5.6 N5.6 Derive a formula, substitute numbers into a formula and change the subject of a formula.

Candidates should be able to:

• use formulae from mathematics and other subjects expressed initially in words and then using letters and symbols
• substitute numbers into a formula
• change the subject of a formula

Notes

Questions in Unit 2 will include formulae for generating sequences; for example, write down the first three terms of a sequence where the n^th term is given by n2 + 4 (see spec. reference N6.1).

Questions in Unit 2 will also include formulae in words using a functional context; for example, a formula for cooking a turkey.

Questions may require use of a formula out of context; for example, substitute positive and negative numbers into expressions such as

At Foundation tier, formulae to be rearranged will need at most two operations and will not include any terms containing a power.

At Higher tier, formulae to be rearranged may require several operations and may include terms containing a power.

In Higher tier questions, the subject may appear twice.

Examples

1. When a = 5, b = -7 and c = 8, work out the value of

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