Common Skills D
Paper 1
1
Expand and Simplify
(x – 2)(x² + 3x – 8)
3 Marks
2
Solve algebraically the inequation
11 – 3x > 17 + 5(x – 2)
3 Marks
3
The graph below shows the relationship between the production and costs of a company.
Point A represents production of 5 units and a cost of £200.
Point B represents production of 25 units and cost of £800.
Find the equation of the best fitting line in terms of P and C.
3 Marks
4
A parabola has equation y = x² + 18x + 50
Write the equation in the form y = (x – a)² + b
2 Marks
5
This diagram shows the graph of y = a cos bx°
State the values of a and b
2 Marks
6
Determine the nature of the roots of the function f(x) = 2x² + 2x – 3
2 Marks
7
Express
in its simplest form
3 Marks
8
Solve algebraically the system of equations
3y + 5x = 26
4y + 3x = 9
3 Marks
9
Solve
x² – 5x – 36 = 0
2 Marks
End of Paper