Common Skills E

Paper 1

1

Expand and Simplify

(2x + 5)(x – 7) + 3(x² – 2)

3 Marks

2

Solve algebraically the inequation

5x – 6 > 4(2x + 1) + 5

3 Marks

3

The graph below shows a straight line connecting points P and Q

Determine the equation of the line PQ

3 Marks

4

A parabola has equation y = x² – 12x – 8

Write the equation in the form y = (x – a)² + b

2 Marks

5

This diagram shows the graph of y = a sin x° + c

State the values of a and c

2 Marks

6

Determine the nature of the roots of the function f(x) = x² – 4x + 9

2 Marks

7

Express

in its simplest form

3 Marks

8

Solve algebraically the system of equations

2y + 5x = 13

5y + 7x = 5

3 Marks

9

Solve

x² – 13x48 = 0

2 Marks

10

Express with a rational denominator

Give your answer in its simplest form

2 Marks

End of Paper