## Physics and Maths (STEM) Tutor - coaching for all - from GCSE through A-Level to Degree

## Other tutor / coaching services: GCSE/A-level Computer Science

### Proper, Improper and Mixed Fractions

### Fractional Arithmetic

### Changing the Subject of an Expression

### Multiplying Expressions

### Factorising Quadratic Expressions

### Solving Linear Equations

### Rationalising the Denominator

### Solving Simultaneous (Linear) Equations

### Solving Simultaneous Quadratic Equations

### 2 and 3 Part Ratios

### Completing the Square

Ex. 0:

-17 x

^{2}+ -17 x + -14 => -17 (x

+

-1

-2

)

^{2}+

39

-4

Ex. 1:

-2 x

^{2}+ 13 x + -8 => -2 (x

+

13

-4

)

^{2}+

-105

-8

Ex. 2:

-10 x

^{2}+ 15 x + -17 => -10 (x

+

3

-4

)

^{2}+

91

-8

Ex. 3:

-11 x

^{2}+ -10 x + -11 => -11 (x

+

-5

-11

)

^{2}+

96

-11

Ex. 4:

-11 x

^{2}+ 10 x + 12 => -11 (x

+

5

-11

)

^{2}+

-157

-11

Ex. 5:

7 x

^{2}+ -3 x + -13 => 7 (x

+

-3

14

)

^{2}+

-373

28

Ex. 6:

5 x

^{2}+ 11 x + 19 => 5 (x

+

11

10

)

^{2}+

259

20

Ex. 7:

7 x

^{2}+ -17 x + -12 => 7 (x

+

-17

14

)

^{2}+

-625

28

Ex. 8:

5 x

^{2}+ -18 x + 12 => 5 (x

+

-9

5

)

^{2}+

-21

5

Ex. 9:

-19 x

^{2}+ -7 x + -2 => -19 (x

+

-7

-38

)

^{2}+

103

-76