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Advanced Algebra/Statistics
January 15, 2015
Name_____________________
Practice: Unit 1 Quiz1
1.
If n is a negative integer, what is the ordering of p, t, and r from greatest to least?
p = n2 – 2.1 ; t = n3 – 2.1 ; r = (n – 2.1)2
A. t > p > r
2.
B. t > r > p
B. 19
B. 6
B. 11, 21
B. 4
E. 23
C. 7
D. 9
E. 18
C. 13, 19
D. 17, 15
E. 5, 27
C. 5
D. 9
E. 13
A large school bus holds 40 students. A small bus holds 25 students. How many small buses are
needed to hold the number of students accommodated by 5 large buses?
A. 5
7.
D. 21
If each of the integers 5, 3, and 2 is used only once in the expression (a – b)  c,
then what is the largest possible value?
A. 1
6.
C. 20
Two prime numbers whose sum is 32 are
A. 7, 25
5.
E. p > r > t
When 32 is divided by an integer, the remainder is 4. When 51 is divided by the same integer,
the remainder is 2. What is the largest integer for which this is true?
A. 1
4.
D. r > t > p
If x, y, and z are three prime numbers, and 19 < x < y < z < 35, find x + y – z.
A. 17
3.
C. r > p > t
B. 6
C. 8
D. 9
E. 10
If 24 is written as the product of three integers, each of which is greater than 1, what could be the largest
sum of those three integers?
A. 9
B. 10
C. 11
D. 12
E. 24
D. 5
E. 7
Questions 8 refers to the correctly worked addition problem below.
4RS
+ RR7
QPQP
8.
What digit does R represent?
A. 0
B. 1
C. 3
Advanced Algebra/Statistics
January 15, 2015
Name_____________________
Questions 9-10 refer to the following correctly worked multiplication problem. In this problem, P, Q, and R each
represents a different digit.
PQ
 R8
184
92 .
1104
9.
What is the value of P?
A. 1
10.
C. 3
D. 4
E. 5
B. 2
C. 3
D. 4
E. 5
What is the value of R?
A. 1
11.
B. 2
P is a two-digit number. Q is a two-digit number, with P’s digits reversed. What is the largest possible
value of P so that P and Q fit the given description and also have a difference of 54?
A. 71
B. 82
C. 93
D. 96
E. 97
Questions 12-13 refer to the following information:
110 freshmen participated in sports or clubs or both. 55 are involved in sports and 68 are involved in clubs.
12.
How many students are involved in both sports and clubs?
A. 13
13.
D. 68
E. 110
B. 42
C. 55
D. 68
E. 110
In a hospital parking lot, the rate is $1.50 for the first 2 hours and $0.75 for each additional hour or
part of an hour. What does it cost to park a car for 4 hours and 15 minutes?
A. $2.25
15.
C. 55
How many students are involved in just sports?
A. 13
14.
B. 42
B. $3.00
C. $3.75
D. $4.50
E. $5.25
If x is an even integer, which of the following would represent an odd integer?
A. x2 – x
B. x2 – 2
C. x – 1
D. x2
E. (x + 2)2
Advanced Algebra/Statistics
January 15, 2015
16.
If a is a positive integer and b is a negative integer, which of the following must be positive?
A. a – b
17.
D. a  b
E. a2b
C. 0
D. 2
E. 3
D. 4
E. 5
20
51
and
?
3
5
B. 2
C. 3
If the product of five integers is an even integer, what is the least number of integers that must be even?
A. One
20.
B. –1
How many odd numbers lie between
A. 1
19.
C. a  b
B. a + b
If a, b, and c are consecutive integers and abc = 0, then what is the smallest possible sum of these integers?
A. –3
18.
Name_____________________
B. Two
C. Three
D. Four
E. Five
If N is an odd or even integer, which of the following will always be an even integer?
A.
N
2
B. 2N + 1
C. 2(N + 1)
D. N2
E. (N + 1)2
Student-Produced Response Questions
21.
What is the least common multiple
of 12 and 16?
22.
What is the greatest common factor
of 84 and 77?
Advanced Algebra/Statistics
January 15, 2015
Answer Key
1.
C
2.
D
3.
C
4.
C
5.
D
6.
C
7.
B
8.
D
9.
B
10.
D
11.
C
12.
A
13.
B
14.
C
16.
A
17.
A
18.
B
19.
A
20.
C
21.
48
22.
7
Name_____________________