Math Test
25 Minutes—20 Questions
NO-CALCULATOR SECTION
1.
1. This section corresponds to Section 3 of your answer sheet.
Directions
For this section, solve each problem and decide which is the best of
the choices
...
Math Test
25 Minutes—20 Questions
NO-CALCULATOR SECTION
1.
1. This section corresponds to Section 3 of your answer sheet.
Directions
For this section, solve each problem and decide which is the best of
the choices given. Fill in the corresponding oval on the answer
sheet. You may use any available space for scratch work.
Notes:
1. Calculator use is NOT permitted.
2. All numbers used are real numbers, and all variables used
represent real numbers, unless otherwise indicated.
3. Figures are drawn to scale and lie in a plane unless otherwise
indicated.
4. Unless stated otherwise, the domain of any function f is
assumed to be the set of all real numbers x, for which f (x) is a
real number.
Information:The sum of the degree measures of the angles in a triangle is
180.
The number of degrees of arc in a circle is 360.
The number of radians of arc in a circle is 2π.T2h.e graph above shows the amount that a new, high-tech video
arcade charges its customers. What could the y-intercept of this
graph represent?
1. The cost of playing 5 games
2. The cost per game, which is $5
3. The entrance fee to enter the arcade
4. The number of games that are played
W3.hich of the following is equivalent to the expression above, given
that x ≠ −5,?
1. 2x
2.
3.
4. 2x + 4
T4h.e graph of the equation above is a circle. What is the area, in
square units, of the circle?1. 4π
2. 5π
3. 16π
4. 25π
T5h.e figure above shows the graph of f(x). For which value(s) of x
does f(x) equal 0?
1. 3 only
2. −3 only
3. −2 and 3
4. −3, −2, and 3
I6n.the equation above, what is the value of d?
1.
2.
3.
4.Source: Data from
Eurostat.
O7n. e indicator of a declining economy is a continued decline in
birth rates. In 2010, birth rates in Europe were at an all-time
low, with the average number of children that a woman has in
her lifetime at well below two. In the figure above, f(t)
represents birth rates for Portugal between 1960 and 2010, and
g(t) represents birth rates in Slovakia for the same time period.
For which value(s) of t is f(t) > g(t)?
1. 1960 < t < 1980 only
2. 1980 < t < 2000 only
3. 1960 < t < 1980 and 1990 < t < 2000
4. 1960 < t < 1980 and 2000 < t < 2010T8h.e blue whale is the largest creature in the world and has been
found in every ocean in the world. A marine biologist surveyed
the blue whale population in Monterey Bay, off the coast of
California, every three years between 1995 and 2010. The
figure above shows her results. If w is the number of blue
whales present in Monterey Bay and t is the number of years
since the study began in 1995, which of the following equations
best represents the blue whale population of Monterey Bay?
1. w = 100 + 2t
2.
3.
4.T9h.e figure above shows the straight-line depreciation of a laptop
computer over the first five years of its use. According to the
figure, what is the average rate of change in dollars per year of
the value of the computer over the five-year period?
1. −1,100
2. −220
3. −100
4. 100
1W0.hat is the coefficient of x 2 when is multiplied by
?
1. −4
2. −2
3. 2
4. 4
1T1h.e graph above could represent which of the following equations?
1. −6x − 4y = 5
2. −6x − 4y = −5
3. −6x + 4y = 5
4. −6x + 4y = −51I2f.the system of linear equations above has no solution, and k is a
constant, what is the value of k?
1.
2.
3. 3
4. 4
1I3n. Delray Beach, Florida, you can take a luxury golf cart ride
around downtown. The driver charges $4 for the first mile,
plus $1.50 for each additional mile. Which inequality
represents the number of miles, m, that you could ride and pay
no more than $10?
1. 3.25 + 1.5m ≤ 10
2. 3.25 + 3m ≤ 10
3. 4 + 1.5m ≤ 10
4. 4 + 3m ≤ 101T4h.e graph of g(x) is shown in the figure above. If h(x) = −g(x) + 1,
which of the following statements is true?
1. The range of h(x) is −3 ≤ y ≤ 3.
2. The minimum value of h(x) is −4.
3. The coordinates of point A on the function h(x) are (2, 4).
4. The graph of h(x) is increasing between x = −5 and x = −2.
1I5f. a + bi represents the complex number that results from
multiplying 3 + 2i times 5 − i, what is the value of a?
1. 2
2. 13
3. 15
4. 17
1I6n. order to create safe drinking water, cities and towns use water
treatment facilities to remove contaminants from surface water
and groundwater. Suppose a town has a treatment plant but
decides to build a second, more efficient facility. The new
treatment plant can filter the water in the reservoir four times as
quickly as the older facility. Working together, the two
facilities can filter all the water in the reservoir in 72 hours. The
equation above represents the scenario. Which of the following
describes what the term represents?
1. The portion of the water the older treatment plant can filter
in 1 hour
2. The time it takes the older treatment plant to filter the
water in the reservoir
3. The time it takes the older treatment plant to filter of the
water in the reservoir4. The portion of the water the new treatment plant can filter
in 4 hours
2.
1. Directions
For questions 16–20, enter your responses into the appropriate grid
on your answer sheet, in accordance with the following:
1. You will receive credit only if the circles are filled in
correctly, but you may write your answers in the boxes above
each grid to help you fill in the circles accurately.
2. Don't mark more than one circle per column.
3. None of the questions with grid-in responses will have a
negative solution.
4. Only grid in a single answer, even if there is more than one
correct answer to a given question.
5. A mixed number must be gridded as a decimal or an
improper fraction. For example, you would grid as 7.5 or
15/2.
(Were you to grid it as , this response would be
interpreted as .)
6. A decimal that has more digits than there are places on the
grid may be either rounded or truncated, but every column in
the grid must be filled in order to receive credit.I2f. , what is the value of x + 2y?
I3f. (a, b) is a point in the solution region for the system of
inequalities shown above and a = 6, what is the minimum
possible value for b?
I4f.x n is the simplified form of the expression above, what is the
value of n?
Note: Figure not drawn to scale.
I5n.the figure above, the area of the shaded region is 52 square units.
What is the height of the larger triangle?
I6f.y = ax2 + bx + c passes through the points (−3, 10), (0, 1), and (2,
15), what is the value of a + b + c ?
If you finish before time is called, you may check your work on this section
only. Do not turn to any other section in the test.
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