Math SAT Practice Examples 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)?

x₁ = 0 and x₂ = 1
x₁ = 1 and x₂ = -2
x₁ = 0 and x₂ = 2
x₁ = 0 and x₂ = -2
x₁ = 2 and x₂ = -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 che 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 = x² + 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 ABC isosceles triangle from the figure below has the BAC angle = 40⁰. What is the angle ADE if DE is half of BC?

It cannot be determined from the information given
75^o
70^o
40^o
35^o

Question #10: For any a≠1, (a⁴ - 1) / (a - 1) =

a³ + a² + a
a³ + a² + a + 1
a² + a + 1
1
a + 1

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