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## 1. the language

1.2.2. Subtract

1.2.3. Multiply

1.2.4. Divide

### 1.3. brackets

1.3.1. factorising

1.3.1.1. linear

## 4. formulae

### 4.1. substitution

4.1.1. Put brackets around each letter and substitute the number along with its sign if it is negative

4.1.2. Use BIDMAS when working out the answer

4.1.3. Be careful if you are substituting a negative number for a letter with a negative sign

### 4.2. rearranging

4.2.1. x appears twice

4.2.1.1. alone or with a coefficient

4.2.1.2. multiplied with another letter

4.2.2. squares & roots

4.2.3. complex fractions

## 5. solving linear equations

### 5.1. views

5.1.1. same to both sides

5.1.2. moving over

## 6. simultaneous equations

### 6.1. two linear

6.1.1. substitution

6.1.2. subtraction

6.1.4. graphical

6.2.2. graphical

6.2.3. circle equation

6.2.3.1. points of intersection

## 7. inequalities

### 8.1. graphs

8.1.1. simple plotting

8.1.2. using a graph to solve a different equation

### 8.2. definition

8.2.1. general formula

8.2.2. types

8.2.2.1. a, b, c

8.2.2.2. a, b only

8.2.2.2.1. simple factorisations

8.2.2.3. a, c only

8.2.2.3.1. difference of two squares

### 8.5. solving

8.5.1. solving by trial and error

8.5.2. the formula

8.5.2.1. Understanding the formula

8.5.2.2. what you can find out using the formula

8.5.2.2.1. how many roots?

8.5.2.2.2. symmetry line

8.5.2.2.3. max and min

8.5.3. completing the square

8.5.3.1. to solve

8.5.3.2. to rearrange

## 9. trial and improvement

### 9.5. Find the average of these two

9.5.1. the answer is the closest to this average

## 10. Checking

### 10.2. Why you should always check

10.2.1. learn mental maths

10.2.2. good habit

## 11. Graphs

### 11.1. y=mx+c

11.1.1. all variations of m and c

11.1.2. parallel lines

11.1.2.1. perpendicular lines

### 11.2. real-life graphs

11.2.1. filling a container

11.2.2. speed

11.2.2.1. s/d

11.2.2.2. v/t