## 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:

-7 x

^{2}+ 6 x + -10 => -7 (x

+

3

-7

)

^{2}+

61

-7

Ex. 1:

16 x

^{2}+ -4 x + 2 => 16 (x

+

-1

8

)

^{2}+

7

4

Ex. 2:

9 x

^{2}+ 6 x + 17 => 9 (x

+

1

3

)

^{2}+

16

1

Ex. 3:

-1 x

^{2}+ -18 x + 7 => -1 (x

+

-9

-1

)

^{2}+

-88

-1

Ex. 4:

18 x

^{2}+ 16 x + 3 => 18 (x

+

4

9

)

^{2}+

-5

9

Ex. 5:

-17 x

^{2}+ 6 x + -19 => -17 (x

+

3

-17

)

^{2}+

314

-17

Ex. 6:

19 x

^{2}+ 1 x + -15 => 19 (x

+

1

38

)

^{2}+

-1141

76

Ex. 7:

-15 x

^{2}+ -17 x + -3 => -15 (x

+

-17

-30

)

^{2}+

-109

-60

Ex. 8:

9 x

^{2}+ -14 x + -14 => 9 (x

+

-7

9

)

^{2}+

-175

9

Ex. 9:

-1 x

^{2}+ 12 x + 7 => -1 (x

+

6

-1

)

^{2}+

-43

-1