MPM1D
Final
Exam
Review
Answers
2.
a)
−26 b)
−490 c)
−21
€
b)
8 = 262144
€
11
c)
72
b)
$2.45 €
12
3.
a)
7 €
3
8
b)
€
€
27
50
1.
a)
0.3975 €
c)
6
d)
−158 e)
− 4
3
€
€
4.
Jason
multiplied
the
exponents
when
he
should
have
subtracted
them.
€
5.
a)
$105 b)
5 hours 6.
a)
$294.94 b)
$327.38 7.
a)
$0.49 8.
a)
8.75 ×10 b)
1.75 ×10 8 10.
a)
1.4784 ×10 5 b)
8.977 ×10 2 €
9.
a)
0.000245 €
b)
73000000 −4
€ 2c − 7abc 2 € 11.
a)
7a 2bc + 28ab
b)
32x 2 + 17x − 21
€ 12.
€
€
€
13.
a)
22 b)
15 c)
−5 €
€
€
23€
9
€
f)
10 g)
h)
− 2
2
€
€
€
€
14.
a)
6 b)
11
c)
130 1
10
1
b)
y = −4 x + 30 c)
y = − x +
€ 15.
a)
y = x + 7 € 2
7
7
€
€
1 €
€
€m = 4
m=−
16.
a)
b)
2
b = −3
€
€
b=4
€
€
€
€
x = −3
17.
a)
y=3
18.
a)
x
€
‐2
‐1
0
1
2
a)
trinomial
€
€
€
d)
20 b)
trinomial
e)
23
40
i)
5 €
d)
y = 3x −19 e)
y = −
6
x −1
7
4
c)
5
b = −2 €
m=
€
x=7
b)
y=3
b)
y
‐11
€
‐2
1
‐2
‐11
19.
a)
parallel
1
2
20.
a)
− €
d)
0.8 x
‐2
‐1
0
1
2
7
10
a)
y
‐10
‐7
‐4
‐1
2
b)
perpendicular
b)
−
€
b)
c)
parallel
21.
a)
€
7
5
5
7
b)
− €
MPM1D
22.
To
solve
a
linear
system
is
to
find
the
values
of
the
variables
that
satisfy
BOTH
equations.
23.
a)
(−1, 6) b)
approximately (−3, 1.5) 24.
a)
(−3,−5) b)
( 4, 1) 25.
( 3, 5) is
not
on
the
line.
26.
€ 27.
€ 28.
None
of
the
sides
are
parallel
or
perpendicular
so
it
is
not
any
specific
type
of
quadrilateral.
€
€
€
None
of
the
sides
are
perpendicular
so
it
is
not
a
right
triangle.
(i)
a)
1
b)
linear
c)
1
(ii)
a)
3
b)
linear
c)
3
(iii)
a)
2,
1
4
b)
non‐linear
€
€
29.
shortest
side:
,
middle
side:
30.
6 and 30 5cm
10cm
€
€ ,
longest
side:
13cm 31.
38 and 13 32.
Catherine’s
age:
36 ,
Anna’s
age:
14 (
)
33.
€ a)
−3a 1− 4a 3 34.
€ 36.
€ 37.
€ 38.
€
a)
10 (
)
b)
2y 4 y 2 − 2y + 1 €
b)
4 (
)
c)
6k 2 2 − 8k 2 − 3k 4 €
€
(
)
d)
5a 3b 3 5a 2 + 7b − 4ab 2 35.
a)
12.7 €
€
b)
60.7 SA = 142 ,
V = 105 a)
SA = 452.4 ,
V
b)
SA =€351.9 ,
V = 502.7 c)
€= 904.8 € SA = 75.4 ,
V = 37.7 a)
a = 80° ,
b €
b)
€x = 85°,
y = 30° ,
z =€150° = 60°,
c = 40° ,
d = 140°
€
€
p
39.
a)
A
number
that
can
be
written
in
the
form
where
p and
q are
integers
and
q ≠ 0 .
As
a
decimal
it
€
€
€
€
€
€
q
€terminates
or
repeats.
€
€
€
€
€
€
p
b)
A
number
that
cannot
be
written
in
the
form
€ q .
As
a
decimal
it
neither
terminates
nor
repeats.
€
€
€
40.
41.
€
€
c)
A
positive
or
negative
whole
number
or
zero
(…
,
‐3,
‐2,
‐1,
0,
1,
2,
3,
…).
d)
Zero
or
a
positive
number
(0,
1,
2,
3,
4,
…).
a)
144° b)
36°
€
a)
17269 ball bearings b)
Yes
there
is
wasted
space
but
we
cannot
calculate
how
much.
€
c)
More
information
is
needed
to
answer
this
question.