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Quiz 1 Prep v01 - 1.1 - 1.5 (7179033)
Question
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 3
ఙ
1.
చ
Question Details
SPreCalc6 1.1.006.MI. [2687366]
-
List the elements of the given set that are natural numbers, integers, rational numbers, and irrational numbers. (Enter your
answers as comma-separated lists.)
1.001,
7
13
,
, íɎ, í13, 13,
9
15
16 , 3.14,
15
3
(a) natural numbers
(b) integers
(c) rational numbers
(d) irrational numbers
2.
Question Details
SPreCalc6 1.1.007. [1614824]
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SPreCalc6 1.1.042.MI. [3157220]
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State the property of real numbers being used.
7+9=9+7
Distributive Property
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
3.
Question Details
Find the indicated set if given the following. (Enter your answer as a set. Enter EMPTY for the empty set.)
A = {1, 2, 3, 4, 5, 6, 7}
(a)
A‫׫‬B‫׫‬C
(b)
AŀBŀC
B = {2, 4, 6, 10}
C = {7, 8, 9, 10}
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4.
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SPreCalc6 1.1.043. [2684197]
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SPreCalc6 1.1.052. [2684195]
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SPreCalc6 1.1.064. [1613905]
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Find the indicated set if given the following.
A = {x| x • í9}
(a)
B = {x| x < 7}
C = {x| í1 < x ” 8}
B‫׫‬C
{x| x < 8}
{x| x ” 8}
{x| 7 < x < 8}
{x| 7 ” x ” 8}
all real numbers
none of these
(b)
BŀC
{x| í9 < x < 7}
{x| í9 ” x ” 7}
{x| í1 < x < 7}
{x| í1 ” x ” 7}
all real numbers
none of these
5.
Question Details
Express the inequality in interval notation.
2”x”7
Graph the corresponding interval.
6.
Question Details
Graph the set.
(íλ, 4] ŀ (0, 10)
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SPreCalc6 1.1.072.MI. [2687364]
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SPreCalc6 1.2.024.MI. [2233557]
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SPreCalc6 1.2.034. [3132687]
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SPreCalc6 1.2.052. [2687463]
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Find the distance between the given numbers.
8.
Question Details
Evaluate each expression.
9.
í0.25
(a)
625
(b)
í
(c)
125
8
32
243
2/5
í4/3
Question Details
Simplify the expression.
4
3y í
10.
y
Question Details
Simplify the expression and eliminate any negative exponent(s).
(a)
s3tí2
3sí1t
(b)
xy z
x4y5zí3
í4 í2
í3
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SPreCalc6 1.2.060.MI. [2687489]
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SPreCalc6 1.2.070. [2687422]
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Simplify the expression. Assume x, y, and z denote any real numbers.
8 4 4
x y z
12.
Question Details
Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.
1/12 í4
a
(a)
(b)
13.
b
x y
í1
(4st)3/2
9 í4 2/3
(8s t )
4
í3 í1
x b
4/3 1/4
a y
2sí6
1/3
3t
í1
Question Details
SPreCalc6 1.2.084. [2687457]
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Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operation. State your answer correct
to the number of significant digits indicated by the given data.
(1.098
έ 1021)(8.62 έ 1019)
έ 10
14.
Question Details
SPreCalc6 1.2.088.MI. [2687504]
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Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer
correct to the number of significant digits indicated by the given data.
έ 10í3)6
5 12
(5.06 έ 10 )
(3.549
έ 10
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15.
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Question Details
SPreCalc6 1.2.092. [1701710]
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SPreCalc6 1.3.040. [1613958]
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SPreCalc6 1.3.056. [1615186]
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SPreCalc6 1.3.074.MI. [2702261]
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SPreCalc6 1.3.094. [1614966]
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Rationalize the denominator.
1
(a)
a
a
(b)
b7
1
(c)
16.
c
1/6
Question Details
Multiply the algebraic expression using a Special Product Formula and simplify.
y +
17.
3
y í
3
Question Details
Perform the indicated operations and simplify.
7
h +1 +1
18.
7
h +1 í1
Question Details
Factor the trinomial.
2(a + b)2 + 5(a + b) í 3
19.
Question Details
Factor the expression completely. Begin by factoring out the lowest power of each common factor.
xí1/2(x + 2)1/2 + x1/2(x + 2)í1/2
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20.
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Question Details
SPreCalc6 1.3.098. [1614588]
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SPreCalc6 1.3.114. [1616015]
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SPreCalc6 1.3.124.MI. [1613746]
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SPreCalc6 1.3.128. [1703869]
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Factor the expression completely.
2
x í 16x + 63
21.
Question Details
Factor the expression completely.
6
x + 64
22.
Question Details
Factor the expression completely.
2
2
2
(a + 4a) í (a + 4a) í 20
23.
Question Details
Factor the expression completely. (This type of expression arises in calculus when using the "Product Rule.")
1 í1/2
9
x
(9x + 4)1/2 í x1/2(9x + 4)í1/2
2
2
24.
Question Details
SPreCalc6 1.4.022.MI. [2691838]
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SPreCalc6 1.4.028.MI. [2691872]
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Simplify the rational expression.
2
25 í x
x3 í 125
25.
Question Details
Perform the multiplication or division and simplify.
2
3
2
x í x í 30
· 2x + x
x í 5x í 6
x2 + 5x
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Question Details
SPreCalc6 1.4.034.MI. [2691835]
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SPreCalc6 1.4.036.MI. [2691843]
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SPreCalc6 1.4.049. [2691810]
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SPreCalc6 1.4.054.MI. [2691869]
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SPreCalc6 1.4.058.MI. [2691820]
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SPreCalc6 1.4.066. [2691855]
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Perform the multiplication or division and simplify.
2
2
4y í 9
+yí3
÷ 2y
2
2
2y + 3y í 9
y + 2y í 3
27.
Question Details
Perform the multiplication or division and simplify.
2x2 í 3x í 2
2
x í1
2
2x + 5x + 2
2
x +xí2
28.
Question Details
Perform the addition or subtraction and simplify.
2
9
+ 2
x2
x +x
29.
Question Details
Perform the addition or subtraction and simplify.
x
7
í 2
x2 + x í 2
x í 5x + 4
30.
Question Details
Perform the addition or subtraction and simplify.
7
9
5
í
+ 2
2
x+1
(x + 1)
x í1
31.
Question Details
Simplify the compound fractional expression.
5xí1 + 5yí1
3(x + y)í1
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32.
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Question Details
SPreCalc6 1.4.073. [2691860]
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SPreCalc6 1.4.080.MI. [2691867]
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Simplify the fractional expression. (Expressions like this arise in calculus.)
33.
2
x
1+
81 í x2
Question Details
Simplify the expression. (This type of question arises in calculus when using the "quotient rule.")
6í5
1/2
+
3
2
6í5
í1/2
6 í 5x
34.
Question Details
SPreCalc6 1.4.086.MI. [1614506]
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SPreCalc6 1.4.090. [1613269]
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SPreCalc6 1.5.040. [2702326]
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SPreCalc6 1.5.105. [2702318]
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Rationalize the denominator.
5(x í y)
x í
y
35.
Question Details
Rationalize the numerator.
x í
h
36.
x
x+h
x+h
Question Details
Solve the equation for the indicated variable. (Enter your answers as a comma-separated list.)
A=
1+
i
100
2
; for i
i=
37.
Question Details
Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO
REAL SOLUTION.)
|3x + 7| = 5
x=
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SPreCalc6 1.5.108. [2702241]
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Solve the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)
|x í 2| = í8
x=
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Name (AID): Quiz 1 Prep v01 - 1.1 - 1.5 (7179033)
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