Download Exam Name___________________________________ SHORT

Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Write the set by listing its elements.
1) {a|a is an even integer greater than 4}
1) _____________
2) {p|p is an irrational number that is also rational}
2) _____________
3) {a|a is a natural number greater than 6}
3) _____________
Write the set using set-builder notation.
4) {2, 4, 6, 8, 10}
4) _____________
5) {. . ., -3, -2, -1, 0, 1, 2, 3, . . . }
5) _____________
6) { 9,
6) _____________
10,
11,
12,
13}
List all the elements of set B that are of the indicated type.
7)
, -14, 0,
B = { 2,
Whole numbers
,
7) _____________
}
8)
8) _____________
B = {- , 15,
, -11, 0,
Irrational numbers
, π,
, 0.66}
Mark the statement as true or false.
9) Some rational numbers are integers.
9) _____________
10) Some real numbers are integers.
10) _____________
11) Division of zero by a nonzero number is undefined.
11) _____________
Give the additive inverse of the number.
12)
12) _____________
13) 0
13) _____________
14) -( -30)
14) _____________
Find the value of the expression.
15)
16) 17)
16) _____________
+
15) _____________
-
17) _____________
The NSC (Not So Consistent) Corporation has just completed its first year of business. The following chart shows its
monthly profit (or loss).
18) The loss was greatest in
18) _____________
19) The absolute value of the profit or loss was smallest in
19) _____________
Rewrite the statement so the inequality symbol points in the opposite direction.
20) 45 ≥ 7
20) _____________
21) -41 > -42
21) _____________
22) -10 < x
22) _____________
Use inequality symbols to rewrite the statement.
23) 1 is greater than y.
23) _____________
24) 2 is greater than or equal to 2.
24) _____________
25) x is between -7 and 20, excluding -7 and including 20.
25) _____________
26) x is between -5 and 12, including -5 and 12.
26) _____________
Determine whether the inequality is true or false.
27) 10 · 9 ≤ 17 + 7
27) _____________
28) -28 ≥ -|-4|
28) _____________
29)
29) _____________
≥-
Write the set using interval notation.
30) {x| -7 < x < 5}
30) _____________
31) {x| -7 < x ≤ 5}
31) _____________
32) {x| x ≤ -9}
32) _____________
Graph the inequality on a number line.
33) { x | x < -1 }
33) _____________
34) { x | 3 ≤ x ≤ 6 }
34) _____________
35) { x | -4 ≤ x < -1 }
35) _____________
Provide an appropriate response.
36) A student claims that { 8, 9, 10} and the set { 10, 9, 8} are the same set. Explain why
the student is correct or why the student is incorrect.
Add or subtract as indicated.
37) -4 + 19
36) _____________
37) _____________
38) -66 + 44
38) _____________
39) -9 + 26
39) _____________
Perform the indicated operation.
40)
40) _____________
+
41)
41) _____________
-
42) 0.91 - ( -0.72)
42) _____________
43) 7.422 - ( -0.97)
43) _____________
Add or subtract as indicated.
44) | 20 + 12|
44) _____________
45) | 15| + | 13|
45) _____________
46) | -2 - 5|
46) _____________
Find the distance between the given points.
47) B and G
47) _____________
48) A and F
48) _____________
Perform the indicated operation.
49) 8( -8)
49) _____________
50)
50) _____________
51)
51) _____________
52)
52) _____________
53)
53) _____________
10
54)
54) _____________
(-40)
55) _____________
55)
56)
56) _____________
-
÷
Perform the indicated operation. Round to the nearest hundredth, if necessary.
57)
57) _____________
58) ( 0.8)( -9.74)
58) _____________
59) ( 6.6)( 6.1)( -9.4)
59) _____________
Solve the problem.
60) Nikki is fishing from a bank 27 feet above water level. In this location, the fish tend to
feed at 41 feet below the surface. How long must Nikki's fish line be to reach the fish?
60) _____________
61) Company A showed a profit of $88,500 last year, while Company B had a loss of
$81,700. Find the difference between these amounts.
61) _____________
62) After one round in a card game, your score was -10 points. After the second round,
your total score was 26 points. How many points did you gain in the second game?
62) _____________
63) In a certain location, the highest temperature recorded was 104°F. The lowest
temperature recorded was 136 degrees less than the highest. What was the lowest
temperature?
63) _____________
Decide whether the statement is always true, sometimes true, or never true.
64) The sum of two negative numbers is negative.
64) _____________
65) The sum of a negative number and a positive number is negative.
65) _____________
66) The product of two numbers with different signs is positive.
66) _____________
67) The difference between a positive number and a negative number
67) _____________
Evaluate the expression.
68)
68) _____________
69)
69) _____________
70)
70) _____________
Write the expression by using exponents.
71) 3 · 3 · 3 · 3 · 3 · 3
72)
71) _____________
72) _____________
·
·
·
·
·
·
73) (-7)(-7)(-7)(-7)(-7)
Find the square root. If it is not a real number, say so.
74) -
73) _____________
74) _____________
75)
75) _____________
76)
76) _____________
Use the order of operations to simplify the expression.
77) 16 + ( 6 · 10) - 22
77) _____________
78) ( -4)( 2)4 - ( -3)( -3)
78) _____________
79) 9 + ( 20 · 22) - 11
79) _____________
80) -15 + (5 · 2 + 30) ÷ 5
80) _____________
81)
81) _____________
82)
82) _____________
83)
83) _____________
Evaluate the expression for a = -5, b = 16 and c = 7.
84)
84) _____________
+
85) 2ab + 4c
85) _____________
86)
86) _____________
Solve the problem.
87) An approximation of the amount in billions of dollars that Americans have spent on
their pets from 1993 to 2006 can be obtained by substituting a given year for x in the
expression 1.751x - 3311. Approximate the amount spent in 1995. Round the answer
to the nearest tenth.
88) An approximation of the amount in billions of dollars that Americans have spent on
their pets from 2002 to 2006 can be obtained by substituting a given year for x in the
expression 1.714x - 3281. How has the amount Americans have spent on their pets
changed from 2002 to 2006?
Decide whether the statement is true or false.
89) ( -7)5 is a negative number.
87) _____________
88) _____________
89) _____________
90) The product of 3 positive factors and 3 negative factors is positive.
90) _____________
91) In the exponential -87, -8 is the base.
91) _____________
92)
92) _____________
has the same sign as a for all nonzero real numbers a.
Simplify the expression.
93) -5( 3z + m)
93) _____________
94) -( -8m) - ( -2m)
94) _____________
95) 12s - 6t
95) _____________
96) 8a - 5a - a - 12
96) _____________
97) -6( 5m + 3) + 6( 3m + 4)
97) _____________
98) 4p - 6( 5p + 4) + 6( 2p + 3) + 6( 5p + 2)
98) _____________
Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible.
99) 9 + x; commutative
99) _____________
100) ( 8x + 2y) + 8z; associative
100) ____________
101) 0
101) ____________
; multiplication property of 0
Use the distributive property to calculate the value mentally.
102)
31 ·
102) ____________
- 11 ·
103) 8.25( 27) + 8.25( 73)
Provide an appropriate response.
104) Use an example to explain the difference between the associative and commutative
properties of multiplication.
105) Which property justifies the statement?
8(x + 7) = 8x + 8 · 7
103) ____________
104) ____________
105) ____________
1)
2)
3)
4)
5)
6)
7)
{ 6, 8, 10, ...}
∅
{ 7, 8, 9, ...}
{x∣x is an even natural number less than or equal to 10}
{x∣x is an integer}
{x∣x is an integer between 8 and 14}
2, 0,
,
8)
,π
9) True
10) True
11) False
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)
29)
30)
31)
32)
33)
0
-30
20
-40
15
January
December
7 ≤ 45
-42 < -41
x > -10
1 >y
2≥ 2
-7 < x ≤ 20
-5 ≤ x ≤ 12
False
False
True
( -7, 5)
( -7, 5]
(-∞, -9]
34)
35)
36) The student is correct because the sets contain exactly the same elements. The order the elements appear is not
important.
37) 15
38) -22
39) 17
40)
41)
42)
43)
44)
45)
46)
47)
48)
1.63
8.392
32
28
7
6
49)
50)
51)
52)
53)
-64
Undefined
-19
0
-
54)
55)
56)
57)
58)
59)
60)
61)
62)
63)
64)
65)
66)
67)
68)
4
-7.792
-378.444
68 feet
$170,200
36 points
-32°F
Always true
Sometimes true
Never true
Never true
69)
70) -8
71) 36
72)
73)
74) -18
75)
76)
77) 54
78) -73
79) 438
80) -7
81)
82)
83) -7
84) -6
85) -132
86)
87)
88)
89)
90)
91)
92)
93)
94)
95)
96)
97)
98)
99)
100)
101)
102)
103)
104)
105)
$ 182.2 billion
It has largely increased.
True
False
False
True
-15z - 5m
10m
Cannot be simplified
2a - 12
-12m + 6
16p + 6
x +9
8x + ( 2y + 8z)
0
30
825
Answers will vary.
Distributive property