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MATH 168 Module 4 Practice Test
Write your answers in the spaces provided.
1.
Factorise u 2  2u  48 .
2.
Expand and simplify (4a  b)(4a  b  2) .
3.
Solve the equation (w  3) 2  100  0 .
4.
Solve the equation x 2  3x  18  0 .
5.
Find the largest solution of the equation A2  3 A  1.
6.
Find the co-ordinates of the point of intersection of
the straight lines whose equations are y  4 x  7 and
y 13  x .
7.
Find the vertex of the parabola whose equation is
y  x 2  6 x  12 .
8.
Find the equation of the straight line with xintercept 12 and y-intercept 6.
9.
Re-write the equation 8 3x  5  x in the form
ax 2  bx  c  0 .
10. Solve
the simultaneous equations
4s  3t  3
.

8
s

t

55

11.
Solve the equation (h  166)(h  195)  0 .
12.
Solve the equation ( p  10) 2  36 .
13.
Find two numbers with product 10 and sum 10.
14.
I set out in my car driving at a constant speed of 56
k/h. My room-mate sets out half an hour later and
follows me at a constant speed of 70k/h. How far
will I drive before she catches up to me?
15.
Sketch the parabola y  2 x(6  x) and label the
vertex and intercepts.
Formulae
If
, then
Distance = Speed Time
The gradient of the straight line passing through the points
and
is given by
.
The equation of the straight line of gradient
through the point
is
If the equation of a parabola is
roots of the equation
are
the vertex of the parabola lies on the line
which passes
.
, and the
and , then
.