Solving Linear Equations

### L .O To be able to use inverse operations to solve algebraic

### expressions

Equations always include an equals sign so then there are two parts to the

expression. The key to solving equations is balancing out both sides which

usually involves making the algebraic term the subject.

Inverse operations

The inverse of addition (+) is subtraction (-)

The inverse of multiplication (X) is division (÷)

Example 1

Solve the equation 2s + 1 = 29

Step 1: Draw a function diagram starting with the term. Here we start with s.

The diagram outlines which operations are happening and when, this

will come in handy with more complex problems.

Note : you do not +1 then x2 because then you would have 2(s+1) which we

know by expanding is 2s +2 which is incorrect.

Order of operations is very important.

Step 2 : Now go backwards and label the diagram with the inverse operations.

Step 3 : Now using the answer on the right hand side apply the inverse

operations.

Related Topics

Expressions-and-formulae Index-notation

Expanding-and-factorising Factorising