EXAM REVIEW
MBF 3C1
(Part A)
UNIT 1: TRIGONOMETRY
1.
Determine the value of A in each of the following:
a)
2.
sin 65˚ = A
b)
cos A = 0.906
c)
tan A = 0.995
Determine the value of x in each of the following:
a)
b)
x
x
12cm
c)
500
15cm
x
9m
11cm
5cm
d)
600
e)
17cm
770
x
440
x
15cm
15m
3.
The angle of elevation of a ladder leaning against a wall is 780. If the length of the ladder is
10.8m, determine the distance of the foot of the ladder from the base of the wall. Include a
diagram with the solution.
UNIT 2: QUADRATIC RELATIONS (PART I)
1.
2.
a)
The graph of a linear function is a ______________________________.
b)
The graph of a quadratic function is a ___________________________.
Sketch each of the following quadratic functions (include a sketch of y = x2):
a)
3.
y = 2(x – 4)2 + 1
b)
y = –½(x + 5)2 – 3
Complete the chart:
DIRECTION
OF OPENING
y = 2(x – 4)2 + 1
y = –½(x + 5)2 – 3
VERTEX
AXIS OF
SYMMETRY
MAX/MIN
VALUE
4.
Describe the transformations that have occurred to y = x2 to obtain the given functions:
a)
5.
y = 2(x – 4)2 + 1
b)
y = –½(x + 5)2 – 3a)
A baseball is hit and its path follows the function, h(t) = –6(t – 2.5)2 + 38.5.
a)
State the maximum height reached by the ball .
b)
State when the ball reaches this maximum height.
c)
Determine the height of the ball when it was hit. (Hint: t = 0)
UNIT 3: QUADRATIC RELATIONS (PART II)
1.
Simplify each of the following:
a)
2.
3.
5x(2x – 3)
b)
(x + 4)(x – 3)
c)
(4x – 7)(2x + 1)
Factor each of the following completely:
a)
3x + 27
b)
x2 + 5x + 4
c)
x2 + x – 30
d)
x2 – x – 6
e)
3y2 – 9y + 6
f)
2x2 + 14x + 20
Determine the roots (zeros) for each equation:
a)
n2 + 7n + 12 = 0
b)
4t2 – 28t + 40 = 0
__________________________________________________________________________________
 ANSWERS  ANSWERS  ANSWERS 
UNIT 1: TRIGONOMETRY
1.a)
0.906
b)
250
c)
450
2.a)
e)
x = 13cm
x = 20cm
b)
x = 7.6m
c)
x = 430
3.
the ladder is 2.3m from the base of the wall
b)
down, (–5, –3), x = –5, y = –3 (max)
d)
x = 12m
UNIT 2: QUADRATIC RELATIONS (PART I)
1.a)
straight line
b)
3.a)
up, (4,1), x = 4, y = 1 (min)
4.a)
b)
VS by 2, HT right 4 units, VT up 1 unit
reflection in the x–axis, VC by ½, HT left 5 units, VT down 3 units
5.a)
38.5m
b)
parabola
2.5s
c)
1m
UNIT 3: QUADRATIC RELATIONS (PART II)
1.a)
10x2 – 15x
b)
x2 + x – 12
c)
8x2 – 10x – 7
2.a)
d)
3(x + 9)
(x – 3)(x + 2)
b)
e)
(x + 4)(x + 1)
3(y – 2)(y – 1)
c)
f)
(x + 6)(x – 5)
2(x + 2)(x + 5)
3.a)
n = –4 or n = –3
b)
t = 5 or t = 2