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Math Test – No Calculator

2 5 M I NU TES, 2 0 QUESTIONS

Turn to Section 3 of your answer sheet to answer the questions in this section.

For questions 1-15, solve each problem, choose the best answer from the choices
provided, and fill in the corresponding bubble on your answer sheet. For questions 16-20,
solve the problem and enter your answer in the grid on the answer sheet. Please refer to
the directions before question 16 on how to enter your answers in the grid. You may use
any available space in your test booklet for scratch work.

1. The use of a calculator is not permitted.

2. All variables and expressions used represent real numbers unless otherwise indicated.
3. Figures provided in this test are drawn to scale unless otherwise indicated.
4. All figures lie in a plane unless otherwise indicated.
5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for
which f(x) is a real number.

r

c 2x 60° s 45° s√2
w h b x
30° 45°
b a x√3 s
A = pr 2
1
A = bh c 2 = a2 + b 2 Special Right Triangles
A = w
2
C = 2pr

h r r h h
h
w r w
 
4 1 1
V = wh V = pr 2h V = pr 3 V = pr 2h V= wh
3 3 3
The number of degrees of arc in a circle is 360.
The number of radians of arc in a circle is 2p.
The sum of the measures in degrees of the angles of a triangle is 180.

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2z + 1 = z Shipping Charges
What value of z satisfies the equation above? Merchandise weight Shipping
(pounds) charge
A) −2 5 $16.94
10 $21.89
20 $31.79
B) −1 40 $51.59

1 The table above shows shipping charges for an online

C)
2 retailer that sells sporting goods. There is a linear
relationship between the shipping charge and the
D) 1 weight of the merchandise. Which function can be
used to determine the total shipping charge f (x), in
dollars, for an order with a merchandise weight of
x pounds?

A) f (x) = 0.99x
B) f (x) = 0.99x + 11.99
2 C) f (x) = 3.39x
A television with a price of $300 is to be purchased D) f (x) = 3.39x + 16.94
with an initial payment of $60 and weekly payments
of $30. Which of the following equations can be used
to find the number of weekly payments, w, required
to complete the purchase, assuming there are no
taxes or fees?
A) 300 = 30w − 60
B) 300 = 30w
C) 300 = 30w + 60
D) 300 = 60w − 30

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y x2 − 1
= −2
42 x−1
y = h(x)
35 What are all values of x that satisfy the equation
28 above?
21
A) −3
14
7 B) 0
x C) 1
O 1 2 3 4 5 6
D) −3 and −1
The line in the xy-plane above represents the
relationship between the height h(x), in feet, and the
base diameter x, in feet, for cylindrical Doric
columns in ancient Greek architecture. How much
greater is the height of a Doric column that has a
base diameter of 5 feet than the height of a Doric
column that has a base diameter of 2 feet? 7

A) 7 feet y
B) 14 feet
C) 21 feet 4
D) 24 feet y = f(x) 2

x
–6 –4 –2 O 2 4 6
–2

The graph of y = f (x) is shown in the xy-plane.

What is the value of f (0) ?
5
A) 0
2 B) 2
9x
If x > 0, which of the following is equivalent to the C) 3
given expression? D) 4

A) 3x
B) 3x 2
C) 18x
D) 18x 4

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C y

x° 2
2x°
2x° x
A D –4 –2 O 2 4
B
–2
In the figure above, point B lies on AD . What is the
value of 3x ? 
–4
A) 18
B) 36
C) 54 Which of the following is an equation of line  in the
xy-plane above?
D) 72
A) x − y = −4
B) x − y = 4
C) x + y = −4
D) x + y = 4

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y E

x
O
12 13

The graph of y = 2x 2 + 10x + 12 is shown. If the

graph crosses the y-axis at the point (0, k), what is the
A C D F
value of k ? 5
A) 2 In the figure above, triangle ABC is similar to
B) 6 triangle DEF . What is the value of cos(E ) ?
C) 10 12
D) 12 A)
5
12
B)
13
5
C)
12
5
11 D)
13
A circle in the xy-plane has center (5, 7) and radius 2.
Which of the following is an equation of the circle?

A) (x − 5)2 + ( y − 7)2 = 4
B) (x + 5)2 + ( y + 7)2 = 4
C) (x − 5)2 + ( y − 7)2 = 2
D) (x + 5)2 + ( y + 7)2 = 2

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In the xy-plane, the graph of the function −3x + y = 6
2
f (x) = x + 5x + 4 has two x-intercepts. What is the ax + 2y = 4
distance between the x-intercepts? In the system of equations above, a is a constant. For
A) 1 which of the following values of a does the system
have no solution?
B) 2
A) −6
C) 3
D) 4 B) −3
C) 3
D) 6

14

4x = x − 3
What are all values of x that satisfy the given
equation?
I. 1
II. 9
A) I only
B) II only
C) I and II
D) Neither I nor II

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For questions 16-20, solve the problem and 7

Answer: 12 Answer: 2.5
enter your answer in the grid, as described
below, on the answer sheet. Write
answer in
boxes. 7 / 1 2 2 . 5
Fraction
1. Although not required, it is suggested that line Decimal
you write your answer in the boxes at the top point
of the columns to help you fill in the bubbles
accurately. You will receive credit only if the
bubbles are filled in correctly. Grid in
2. Mark no more than one bubble in any column. result.
3. No question has a negative answer.
4. Some problems may have more than one
correct answer. In such cases, grid only one
answer.
5. Mixed numbers such as 3 1 must be gridded
2
as 3.5 or 7/2. (If 3 1 / 2 is entered into the 2
Acceptable ways to grid 3 are:

grid, it will be interpreted as 31, not 3 1 .) 2 / 3 . 66 6 . 667

2 2
6. Decimal answers: If you obtain a decimal
answer with more digits than the grid can
accommodate, it may be either rounded or
truncated, but it must fill the entire grid.

Answer: 201 – either position is correct

201 201
NOTE:
You may start your
answers in any column,
space permitting.
Columns you don’t
need to use should be
left blank.

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T = 5c + 12 f Juan purchased an antique that had a value of $200
at the time of purchase. Each year, the value of the
A manufacturer shipped units of a certain product to
two locations. The equation above shows the total antique is estimated to increase 10% over its value
shipping cost T, in dollars, for shipping c units to the the previous year. The estimated value of the antique,
closer location and shipping f units to the farther in dollars, 2 years after purchase can be represented
location. If the total shipping cost was $47,000 and by the expression 200a , where a is a constant. What
3000 units were shipped to the farther location, how is the value of a ?
many units were shipped to the closer location?

19
17
2x + 3y = 1200
2x + 1 = 5 3x + 2y = 1300
If a and b are the solutions to the equation above, Based on the system of equations above, what is the
what is the value of a − b ? value of 5x + 5y ?

20

If u + t = 5 and u − t = 2 , what is the value of

(u − t )(u2 − t 2) ?

STOP
If you finish before time is called, you may check your work on this section only.
Do not turn to any other section.

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