National 5 Mathematics (1YR)
Formal Homework 7
You must not use a calculator for questions 1 – 4:
1.
Solve these quadratic equations algebraically.
(a)
5x2  15x = 0
(b)
6x2  7x  3 = 0
2.
2,2
Use the discriminant to determine the nature of the roots of these quadratic equations.
(a)
x²  6x + 8 = 0
(b)
4x² + x = 3
2,2
y
3.
D
The graph shows the parabola y = 16 + 6x  x2.
Find the coordinates of A, B, C and D.
C
A
4.
0
B
5
x
For the quadratic function y = 3 – (x + ½)2, write down
(a)
its turning point and the nature of it.
(b)
the equation of the axis of symmetry of the parabola.
2,1
You may now use a calculator for questions 5 – 7
5.
Solve the equation 4x(x  2) = 7, giving your answer correct to 1 decimal place.
6.
A metal sphere has diameter of 8cm.
a) Calculate its volume giving your answer to 3 significant figures.
4
3
b) The sphere is melted down and made into a cube of equal volume.
Calculate the dimensions of this cube.
7.
(a)
(b)
(c)
If f(x) = px + q ; f (2) = 1 and f (-2) = 5,
Write down two equations in p and q.
Solve the equations to find the values of p and q.
Write down the formula for f(x)
3
2
3
1
Total = 32 marks