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Plug In Numbers
1.
If c, d, and f are nonzero real numbers and cd = f, which of the following equations
for c must always be true?
F. c = df
G. c = df
H. c = df
J. c = f – d
K. c = df
2.
When a = b and c = d, which of the following equations must be true?
F. a + b = c + d
G. a + d = b + c
H. a + c = a + b
J. a – c = d – b
K. ad = cd
3.
If Mark works steadily he can complete a task in x hours. What portion of the task
remains if he works steadily for y hours, where y is any value less than x ?
A.
B.
C.
D.
E.
4.
 x y 
x
 yx
x
x y 
 x y 
 x y 
y
 x y 
x
A class of n students had an average score of x points on a math test. One student
discovered that her score should have been y points higher. Compared to the
uncorrected average, the new class average will be:
A. the same
B. n points higher
C. y points higher
D. ny points higher
E.
y
n
points higher
5.
A theater has m rows of seats with (n + p) seats in each row. Which of the following
is an expression for the number of seats in the entire theater?
F. (m . n) + p
G. (m . n) + (m . p)
H. n + (m . p)
J. m . n . p
K. m + n + p
6.
If (m – n)2 = 25 and mn = 36, then m2 + n2 = ?
A. -47
B. -11
C. 61
D. 86
E. 97
7.
Rita can walk 2 miles in m minutes. At that pace, how many minutes would it take
her to walk 7 miles?
A. 14m
B. 72m
C. 27m
D.
E.
8.
2m
7
7m
2
Which of the following calculations will yield an even integer for any integer n?
F. n2
G. 3n2
H. 4n2
J. 3n2 + 1
K. 4n2 + 1
9.
If 2a2b3 < 0, then which of the following CANNOT be true?
F. a = b
G. a < 0
H. a > 0
J. b < 0
K. b > 0
10. For every cent decrease in price of a gallon of gasoline, a station sells 250 more
gallons per day. The station normally sells 3,000 gallons of gasoline a day at $1.09
per gallon. Which of the following expressions represents the number of gallons of
gasoline sold per day if the cost is reduced by x cents per gallon?
F. 3,000(1.09 – x)
G. 1.09(250x + 3,000)
H. (1.09 – x)(250x + 3,000)
J. 1.09 – x
K. 3,000 + 250x
11. For all nonzero x and y,
1
x
+
1
y
=?
A. 2
B. xy1
C.
2
xy
D.
x y
xy
E.
2
x y
12. If x < 0 and y < 0, which of the following must be true for the value of x – y ?
A.
B.
C.
D.
E.
x–y<0
x–y<x
x–y<y
x–y>0
x–y>x
13. It costs a dollars for an adult ticket to a reggae concert and s dollars for a student
ticket. The difference between the cost of 12 adult tickets and 18 student tickets is
$36. Which of the following equations represents this relationship between a and s ?
a
A. 12
18 s  36
B. 21as = 36
C. |12a – 18s| = 36
D. |12a + 18s| = 36
E. |18a + 12s| = 36
14. If x > 1, then which of the following has the LEAST value?
F. x
G. 2 x
H. x  x
J. x x
K x x
15. When y = x2, which of the following expressions is equivalent to –y ?
F. (-x)2
G. -x2
H. -x
J. x-2
K. x
16. Which of the following expressions has a positive value for all x and y such that x >
0 and y < 0 ?
F. y – x
G. x + y
H. x3y
2
J. xy
K.
x
y2
17. For real numbers a and b when is the equation |a + b| = |a – b| true?
A. Always
B. Only when a = b
C. Only when a = 0 and b = 0
D. Only when a = 0 or b = 0
E. Never
18. What is the solution set for |-x| = -x ?
A. All x  0
B. All x  0
C. All real numbers
D. Only x = 0
E. Only x = 1
19. As shown in the figure below, the base of a ramp for water ski jumping is n feet
long. The slope of the ramp (rise divided by run) is m, where m > 0. Which of the
following expressions gives the height of the ramp, in feet?
F. mn
G. mn
H. mn
J. m2 – n2
K.
m2  n 2