Practice problems for Econ 1530 Sections C and D
York University
Fall 2005
Problem 1.
Aquant
ity
K
grows by 2% per year (with annual compounding). After 4 years
the quantity has increased to:
(a)
K
(1
.
02)
4
(b)
K
(1
.
04)
2
(c)
K
(1
.
02)
2
(d)
K
(1
.
04)
4
Problem 2.
Aquan
t
i
ty
K
grows by
p
% per year, every year for 110 years (with annual
compounding). At the end of this 110 year period the quantity has tripled (that is, it has
grown to 3
K
). The growth rate is closest to which of the below options?
(a)
p
=0
(b)
p
=1
(c)
p
=2
(d)
p
=3
Problem 3.
The expression
ax
2
+4
y
(
y
−
x
√
a
) can be written as which of the following?
(a) [
ax
−
2
y
]
2
(b) [
x
√
a
+2
y
][
x
√
a
−
2
y
]
(c) [
x
√
a
−
2
y
]
2
(d) none of the above
Problem 4.
The inequality
a
−
b>
−
1 can be written as which of these inequalities?
(a)
b
−
a>
−
1
(b)
b
−
a<
1
(c)
b
+
a>
−
1
(d) none of the above
Problem 5.
The solution to the equation
ax
+
b
=
a
(1
−
x
) + 2 can be written as:
(a)
x
=
1
a
+
1
2
a
−
b
a
(b)
x
=
2+
a
−
b
2
(c)
x
=
2+
a
−
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View Full DocumentProblem 6.
The solution(s) to the equation
x
2
+
bx
= 0 is (are):
(a)
x
1
=1
/b
and
x
2
=0
(b)
x
1
=
−
b
and
x
2
=0
(c)
x
= 0 is the only solution
(d) the equation has no solution
Problem 7.
Let the mean of a population be
x
=
1
T
P
T
i
=1
x
i
, and the sum of squared
deviations from the mean be
S
=
P
T
i
=1
(
x
i
−
x
)
2
.Then
S
can be written as:
(a)
h
P
T
i
=1
(
x
−
x
i
)
i
−
T
x
(b)
³
P
T
i
=1
x
2
i
´
−
x
2
(c)
³
P
T
i
=1
x
2
i
´
+
x
2
(d)
³
P
T
i
=1
x
2
i
´
−
T
x
2
Problem 8.
Let
f
(
x
)=
1
1
−
√
x
. Which one of the below numbers belongs to the domain of
f
?
(a)
−
2
(b)
−
1
(c) 0
(d) 1
Problem 9.
The graph of the linear function
f
(
x
) passes through the points (
x
1
,y
1
)=(0
,
1)
and (
x
2
,y
2
)=(1
,
α
). Which of the below is true?
(a)
f
(
x
)=1+(1
−
α
)
x
(b)
f
(
x
)=1+
α
x
(c)
f
(
x
)=1+
cx
(d)
f
(
x
)=1
−
(1
−
α
)
x
Problem 10:
Rewriting 200
y
−
120
x
−
100 = 0 on the form
y
=
ax
+
b
,g
ives
:
(a)
a
=0
;
b
=200
(b)
a
=3
/
5;
b
=1
/
2
(c)
a
= 100;
b
=5
(d)
a
=1
;
b
=1
−
a
Problem 11:
The line in Figure 1 is the graph of which function?
(a)
y
=2
−
x
(b)
y
=
x
+1
(c)
y
=2
x
+
x
(d)
y
=2
x
+1
Problem 12:
The graph in Figure 2 refers to a function
f
(
x
)=
ax
2
+
bx
+
c
. Which option
below is true about
a
,
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