Practice Test 1
Math Test
25 Minutes-17
Questions
NO-CALCULATOR SECTION
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:
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
whichf(x) is a real number.
1.
Information:
D
l
A =str?
C=2nr
~'.
w:h
b
.
.........__
--->0.
b
A =lw
SpecialRight Triangles
A =J.bh
2
h
V=lwh
4
V=-nr
3
3
1
V=-nr
2h
3
1
V=-lwh
3
The sum of the degree measures of the angles in a triangle is 18.0.
The number of degrees of arc in a circle is 360.
The number of radians of arc in a circle is 27T.
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Part 6
Practice Tests
4(n-2)+5
2
y
_ 13-(9+4n)
-.,
4
I
1. In the equation above, what is the value of n ?
A) 5
6
B)
5
2
C) There is no value of n that satisfies the
equation.
D) There are infinitely many values of n that
satisfy the equation.
I8x3
+ 9x2
36x
-
9x2
4
A) 2x-x
i
i
i-
I
IV!
.
1\
.
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-2 I
. 2
'l-1-j
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f-+---t-+--+-l-Z-li-+---\---t---+--:-i___L
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~ 11\
il
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rr
+1 I
\
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•
v
x
Iii
I---H+i
3. The figure above shows the graph ofj(x). For
which value(s) of x doesf(x) equalO?
B) -1 and 1
C) -1, 1, and 2
D) 2 only
B)
I8x3 - 36x
C)
2x
4
x
4. Which of the following systems of inequalities has
no solution?
A)
B)
C)
D)
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-6
D) I8x3 - 36x + 1
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A) -3 and 3
2. Which of the following is equivalent to the expression above?
+ I--
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1~~
~x
1~ ~:x
Y2:x+I
l y:::; x-I
y 2:-x+I
l y:::;
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Practice Test 1
5. At what value(s) of x do the graphs ofy = - 2x + 1
and y = 2x 2 + 5x + 4 intersect?
8. If m = ~,
where both m
n-"4
°
> and n > 0, which of
the following gives n in terms of m ?
A) -8 and i
A) n =m4
B) -3 and-i
n=- 1
m4
B)
C) -3 and 3
C) n=
D) -- 1 and 3
rm1
2
1
D) n=m4
y
5
p
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9. If (x,y) represents the solution to the system of
equations shown above, what is the value of y?
A)
10
B) 19
6. Ifline P shown in the graph above is reflected over
the x-axis and shifted up 3 units, what is the new
y-intercept?
-4)
B) (0, -2)
C) (0,2)
C) 29
D) 31
A) (0,
D) (0,4)
7. Which of the follo_wingare roots of the equation
3x 2 - 6x - 5 = 6 ?
A) 1± 2J6
10. If
°< %+
1 ~ ~, which of the following is not a
possible value of d?
A)
-2
B)
6
C)
°
D)
5
6
5
B) 1 ± 2J2
~
C) 3 ±'2J2
3
D) 3 ±
216
3
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435
Part 6
Practice Tests
11. A business's "break-even point" is the point at
which revenue (sales) equals expenses. When a
company breaks even, no profit is being made, but
the company is not losing any money either. Suppose a manufacturer buys materials for producing
a particular item at a cost of $4.85 per unit and has
fixed monthly expenses of $11,625 related to this
item. The manufacturer sells this particular item to
several retailers for $9.50 per unit. How many units
must the manufacturer sell per month to reach the
break-even point for this item?
436
12. If ~ Y - ~x = -16, what is the value of 6x - 5y?
A)
32
B)
80
C)
96
D) 160
13. IfJ(g(2)) = -1 andJ(x) = x + 1,then which of
the following could define g( x) ?
A) g(x) = x - 6
A)
810
B)
1,225
B)
C)
2,100
C) g(x)
D)
2,500
D) g(x) = x-I
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g(x)
=x
=x
- 4
- 2
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m
8
z
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m
d
o
z
o
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Part 6
Practice Tests
k(10x - 5) = 2(3
+ x)
y
- 7
14. If the equation abovehas infinitely many solutions
and k is a constant, what is the value of k ?
15. A right triangle has leg lengths of 18 and 24 and a
hypotenuse of ISn. What is the value of n ?
m
t.
' ,
r
5
-
vx·x4·x
2
t[;3
16. Ifthe expression above is combined into a single
power of x with a positive exponent, what is that
1\
H_j
1 1
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!
1
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' !l-Ili
.......
__
._~ .Ll '---_.'- I I .. Ll
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!.
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17. If the equation of the parabola shown in the graph is
written in standard quadratic form, y = ax2 + bx + c,
and a = -1, then what is the value of b ?
exponent?
STOP
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