____
September 2014
MPM 1DI
INTEGERS ANT) EXPONENTS TEST
i6
Name:
PART A: Multiple Choice
—
(7 marks)
Circle the correct answer.
1. Which integer is the largest integer? —17,— 6, —14, —11, —21
C. —14
(._6)
A. —17
D. —11
E. —21
D. -7
E. None of these
2. Which integer is 7 less than —3?
C. 4
(Bj
A. -4
th
25
floor. It goes down 15 floors, then up 6 floors, then up 7 floors, then
3. An elevator is at the
down 2 floors. At which floor is the elevator now?
th
13
A
B 2”
1
C
th
15
—5
4. Which integer is represented by the blank?
B. 7
A. —3
‘(C.
th
20
D
—7Th
E None of these
—
E. None of these
D. 3
5. What is the difference in temperature from —2° C to 15° C?
6. Simplify
313 38
321
A.
B. i
7. Simplify
(
C. 35)
D.
C. 2’
D. (—8)
3104
E. None of these
[(— 2) f
A. (_2)8
I PART B:
E. Noneof these
C. —13° C
B. 13°C
A. 12°C
B. (_2)2
\. None of thesè
Answer in the space provided.
1. List the integers.
(4)
1,O, 1
a)
x>—2
b)
—3x<2
3
C).
c) Properly label and graph the Integer number line below for x > —2.
<
1
i
! !
—
2. Is the answertive or negative?
2)
a) 2(-5?3X-16)
2
b)
(_i)2i
4 4i43
DO NOT EVALUATE!!!
____
____
September 2014
MPM 1DI
3. Evaluate each of the following.
(10)
a) —13+15=
d)
(_3)2
b) 11—18=
c)-12±(-7)=
e) (-2)
f) —6—(—13)
2
=____
=
_____
i)—5
=
2
g) —7(—5)=
(0
=
4-
-‘N
4(— 3)(1)(—1)(—2)(—1)(1O) =
-
j)
\
Express each answer in exponential fonn.
4. Simplify. Use the Exponent Laws.
DO NOT EVALUATE.
(8)
a)
812
5
x8
5
(4)
c)
7 +m
4
b) m
d)
=<7)
z
—
(1:5)
=Q
8
A’’
“ “
(4)16
=
:!
a
5
x
9
e) a
I
f)
h)
g)
x2xjxx6
=)(9
=.
3
5. a) Write 64 as a power of 4.
(3)
(:-3)
b) Write 81 as a power of —3.
c) Write 81 as a power with a base other than
—
(A)
3, or 3.
I
Part C: Show all of your work in the space provided for full marks.
1. Evaluate each of the following.
(25)
a) —7+5+15—11+2—9
c) —23—3(—7)—18+4
b) —7(—5+(—3))
= -Z34Z4
r
t
V
)
d) 8(—9—4)—(—15+13)
e)
(—18+13)(2—5)
15+(—18)
(- !3)
:
(
&)
f) 2
32
—12—(—9+13)
‘-)
) -, fr-4
—9
4
Continued
September 2014
MPM 1DI
• continued
(9)+(3)(1)5
h)
g)
i)8_5(32
—(—12+3)÷(—3))
9 &3C’)
C
)
4
Z
5L-)
/
2. Evaluate each of the following, if x = —1, y
=
—2 and z = 3.
b)
a) 8x—y
+4yz
3
(6)
6
X Y
yz+z
3
/
3. The following formula calculates pressure (P) at certain temperatures (t): P =101 + 2(t 20)
(6)
Use this formula and substitute to calculate the pressure at the following temperatures.
—
c)t=—12
b)t=15
a)t=24
oW
+
-
7’
-
4. Evaluate, use the Exponent Laws first where possible.
(11)
a)
—
f
721.719
b) _2)_2)2_2)3
3
2
d)2+3
e)
5
x10
10
10
r
/
,1’
c)
26
÷10 8
-.
(3)2(2)3
September 2014
MPM 1DI
A rock is thrown from a bridge into a river. Its height, h metres above the river t seconds after it
is released is represented by the formula:
5.
2
h=180—5t
(8)
a) Determine the height of the rock after 2 seconds.
FQ
kt
5L
(LeO h-
i:L€
I)
-
b) Determine the height of the bridge by substituting the appropriate value for t.
cq
O
CDY
I iQ
5(o)
j
c) How long will it take for the rock to hit the river? Explain your answer.
S(’)
-
-
L?
Bonus(+2)
In our homework we found questions like:
The back of the book said the answer was one.
Both of these answers
are
=20
—
26
,
but that’s not what the answer in the book said!
=1
correct. Explain how this could be true!?
,i
U
1
I)
tii
1
I
L
1
;j%3
(p1.
2
I
I
I
1
&(‘5,