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SAT Problem Solving #2
Question #1: f(x) = 1/(x + 1) and g(x) = x + 1. What are the values of x for which f(x) = g(x)?
x
_{1}
= 0 and x
_{2}
= 1
x
_{1}
= 1 and x
_{2}
= -2
x
_{1}
= 0 and x
_{2}
= 2
x
_{1}
= 0 and x
_{2}
= -2
x
_{1}
= 2 and x
_{2}
= -2
Question #2: A website had 2,000 unique visitors in 5 days. At the same rate, how many days are needed to achieve 12,000 unique visitors?
20 days
15 days
30 days
40 days
120 days
Question #3: If
a
is an integer chosen randomly from the set {3, 4, 5, 9} and
b
is an integer chosen randomly from the set {3, 8, 12, 15}, what is the probability that
a/b
is an integer?
.4
.25
.2
.125
.275
Question #4: Two of the sides of a triangle are 7 and 6. What of the following could be the perimeter of the triangle?
12
14
26
18
9
Question #5: In the coordinate plane, what is the line that is perpendicular to y = m · x + n and passes through the origin?
y = (-2m) · x
y = (-m) · x - n
y = (-1/m) · x
y = (-1/m) · x - 1/n
y = (-m) · x
Question #6: Given the table below, which of the following answers describes the relation between x and y?
x
y
0
1
2
5
4
17
5
26
y = x
^{2}
+ 1
y = 4 · x + 1
y = x + 5
y = 3 · x - 1
y = 2 · x + 1
Question #7: The median
m
divides the ABC triangle in 2 triangles, ABM and ACM. What is the ratio between the areas of the 2 triangles, Area
_{ABM}
/Area
_{ACM}
?
It cannot be determined from the information given
2
3
1
1/2
Question #8: Out of 25 mining companies, 14 extract copper, 16 extract silver and 1 extracts neither copper nor silver. How many companies extract both silver and copper?
3
15
2
6
1
Question #9: The solutions of the quadratic equation x
^{2}
- 4x + 5 = 0 are:
2+i and 2-i
1+i and 1-i
-1+i and -1-i
-2+i and -2-i
-2 and 2
Question #10: For any a≠1, (a
^{4}
- 1) / (a - 1) =
a
^{3}
+ a
^{2}
+ a
a
^{3}
+ a
^{2}
+ a + 1
a
^{2}
+ a + 1
1
a + 1