Download MATH 142 - Chapter 1 Homework

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MATH 142 - Chapter 1 Homework (4705314)
Question
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Description
This homework assignment covers Chapter 1: 1.1, 1.2, 1.3, 1.4, and 1.5... Please work
as many problems as possible and turn in your work by the due date. Late homework
is NOT accepted. As always, if you need anything, please email me
[email protected]
1.
Question Details
SPreCalc6 1.1.003. [1614223]
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SPreCalc6 1.1.005.MI. [2684203]
-
The set of numbers between but not including 2 and 7 can be written as follows:
in set-builder notation:
{x| 2 < x ≤ 7}
{x| 2 < x < 7}
{x| 2 ≤ x < 7}
{x| 2 ≤ x ≤ 7}
in interval notation:
[2, 7)
(2, 7]
(2, 7)
[2, 7]
2.
Question Details
List the elements of the given set that are natural numbers, integers, rational numbers, and irrational numbers. (Enter your
answers as comma-separated lists.)
0, −19, 50,
22
, 0.538,
7
(a) natural numbers
(b) integers
(c) rational numbers
(d) irrational numbers
3, −
1
,
3
3
2
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3.
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,
4
13
, −π, −12, 12,
,
9
15
64 , 3.14,
21
3
(a) natural numbers
(b) integers
(c) rational numbers
(d) irrational numbers
4.
Question Details
SPreCalc6 1.1.039.MI. [2687372]
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SPreCalc6 1.1.042.MI. [2687374]
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Find the indicated set if given the following. (Enter EMPTY for the empty set.)
A = {1, 2, 3, 4, 5, 6, 7}
5.
(a)
A
(b)
A∩B
B = {3, 5, 7, 9}
C = {7, 8, 9, 10}
B
Question Details
Find the indicated set if given the following. (Enter EMPTY for the empty set.)
A = {1, 2, 3, 4, 5, 6, 7}
(a)
A
(b)
A∩B∩C
B
C
B = {1, 3, 6, 10}
C = {7, 8, 9, 10}
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6.
Question Details
SPreCalc6 1.1.043. [2684197]
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SPreCalc6 1.1.044.MI. [1615695]
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Find the indicated set if given the following.
A = {x| x ≥ −2}
(a)
B
B = {x| x < 7}
C = {x| −1 < x ≤ 8}
C
{x| x < 8}
{x| x ≤ 8}
{x| 7 < x < 8}
{x| 7 ≤ x ≤ 8}
all real numbers
none of these
(b)
B∩C
{x| −2 < x < 7}
{x| −2 ≤ x ≤ 7}
{x| −1 < x < 7}
{x| −1 ≤ x ≤ 7}
all real numbers
none of these
7.
Question Details
Find the indicated set if given the following.
A = {x|x ≥ −3} B = {x|x < 5} C = {x|−1 < x ≤ 6}
(a)
A∩C
{
x|−3 ≤ x < 5}
{
x|−3 ≤ x ≤ 5}
{
x|−1 < x ≤ 6}
{
x|−1 ≤ x ≤ 6}
none of these
(b)
A∩B
{
x|−3 ≤ x < 5}
{
x|−3 ≤ x ≤ 5}
{
x|−1 < x ≤ 6}
{
x|−1 ≤ x ≤ 6}
none of these
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8.
Question Details
SPreCalc6 1.2.041. [1700530]
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SPreCalc6 1.2.045. [1700536]
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SPreCalc6 1.2.049. [1700549]
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SPreCalc6 1.2.053. [2687420]
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Simplify the expression and eliminate any negative exponent(s).
9.
7 3
2 9
(a)
(8x y )(2x y )
(b)
(10a z )
8 6
1 5 3
a z
2
Question Details
Simplify the expression and eliminate any negative exponent(s).
7
8y z
(a)
3 4
2y z
2 2 4
(xy z )
(b)
3 2
(x y z)
10.
3
Question Details
Simplify the expression and eliminate any negative exponent(s).
3 −9
20a b
(a)
−7 9
5a
y
(b)
11.
b
−2
−5
2x
Question Details
Simplify the expression. Assume x denotes any real number.
6
6
x
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12.
Question Details
SPreCalc6 1.2.055. [2687531]
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SPreCalc6 1.2.074. [2687510]
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Simplify the expression. Assume x denotes any real number.
5
30
32x
13.
Question Details
Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.
7
(a)
5
(b)
5 2
x y
14
4 24
x y
3
32x
x
14.
Question Details
6
5
SPreCalc6 1.3.001. [1614287]
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SPreCalc6 1.3.071. [1614234]
-
4
Consider the polynomial 2x + 10x + 12x .
How many terms does this polynomial have?
List the terms. (Enter your answers as a comma-separated list.)
What factor is common to each term?
6
5
4
Factor the polynomial 2x + 10x + 12x .
15.
Question Details
Factor the trinomial.
2
5x − 47x + 56
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16.
Question Details
SPreCalc6 1.3.072. [1615242]
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SPreCalc6 1.3.073.MI. [1615934]
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SPreCalc6 1.3.076. [1701555]
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SPreCalc6 1.3.077. [1701645]
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SPreCalc6 1.3.080.MI. [1701746]
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SPreCalc6 1.3.084. [1616380]
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Factor the trinomial.
2
7x − 54x − 16
17.
Question Details
Factor the trinomial.
2
(3x + 2) + 14(3x + 2) + 48
18.
Question Details
Use a Special Factoring Formula to factor the expression.
2
(x + 8) − 16
19.
Question Details
Use a Special Factoring Formula to factor the expression.
3
3
8x + y
20.
Question Details
Use a Special Factoring Formula to factor the expression.
3
1 + 27y
21.
Question Details
Factor the expression by grouping terms.
3
2
7x − 5x + 14x − 10
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22.
Question Details
SPreCalc6 1.3.085. [1615401]
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SPreCalc6 1.3.095.MI. [1614095]
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SPreCalc6 1.3.097.MI. [1616211]
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SPreCalc6 1.3.101.MI. [1615349]
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SPreCalc6 1.4.001. [1613480]
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Factor the expression by grouping terms.
3
2
x + 9x − 3x − 27
23.
Question Details
Factor the expression completely.
3
15x + 10x
24.
Question Details
Factor the expression completely.
2
x − 7x − 8
25.
Question Details
Factor the expression completely.
2
3x − 12x − 63
26.
Question Details
Which of the following are rational expressions?
(a)
2x
2
x −3
rational
not rational
(b)
x+3
7x + 4
rational
not rational
2
(c)
x(x − 2)
x+8
rational
not rational
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27.
Question Details
SPreCalc6 1.4.005. [1703940]
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SPreCalc6 1.4.007.MI. [1704070]
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SPreCalc6 1.4.009. [1703880]
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SPreCalc6 1.4.010.MI. [1703993]
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Find the domain of the expression.
2
2x − 16x + 7
x≤0
x<7
x>7
x≥0
all real numbers
28.
Question Details
Find the domain of the expression.
5x + 1
x−4
x≤0
x>4
x≠4
all real numbers
x<0
29.
Question Details
Find the domain of the expression.
x+5
x ≥ −5
all real numbers
x > −5
x < −5
x≤0
30.
Question Details
Find the domain of the expression.
1
x−5
x≥5
x>5
x<5
x≤0
all real numbers
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31.
Question Details
SPreCalc6 1.4.011. [1703903]
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SPreCalc6 1.4.016.MI. [1613816]
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SPreCalc6 1.4.039.MI. [1616363]
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SPreCalc6 1.4.041. [1614578]
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SPreCalc6 1.5.012. [1615667]
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Find the domain of the expression.
2
x +6
2
x − 3x − 18
−3 < x < 6
x ≠ 6, −3
x>6
x < −3
all real numbers
32.
Question Details
Simplify the rational expression. (Give your answer in factored form.)
2
x − x − 30
2
x − 25
33.
Question Details
Perform the addition or subtraction and simplify. (Give your answer in factored form.)
4+
34.
x
x+6
Question Details
Perform the addition or subtraction and simplify. (Give your answer in factored form.)
1
6
+
x+2
x−1
35.
Question Details
The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO
SOLUTION. If all real numbers are solutions, enter REALS.)
2x − 8 = 3
x=
36.
Question Details
SPreCalc6 1.5.011.MI. [1613401]
The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO
SOLUTION. If all real numbers are solutions, enter REALS.)
6x + 9 = 57
x=
-
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37.
Question Details
SPreCalc6 1.5.016. [1614076]
-
The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO
SOLUTION. If all real numbers are solutions, enter REALS.)
15t − 13 = 7 − 15t
t=
38.
Question Details
SPreCalc6 1.5.026. [1615114]
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The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO
SOLUTION. If all real numbers are solutions, enter REALS.)
6
5
6
+
= 2
x−1
x+1
x −1
x=
39.
Question Details
SPreCalc6 1.5.030. [1767935]
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SPreCalc6 1.5.032. [1767928]
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SPreCalc6 1.5.044. [1767930]
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SPreCalc6 1.5.047.MI. [1613794]
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Solve the equation for the indicated variable.
F=G
mM
2
r
; for m
m=
40.
Question Details
Solve the equation for the indicated variable.
1
1
1
=
+
;
R
R
R
1
2
R
2
41.
for R
2
=
Question Details
Solve the equation by factoring.
2
x + 3x − 4 = 0
42.
x=
(smaller value)
x=
(larger value)
Question Details
Solve the equation by factoring.
2
4x − 4x − 3 = 0
x=
(smaller value)
x=
(larger value)
43.
Question Details
SPreCalc6 1.5.049. [1703917]
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SPreCalc6 1.5.050.MI. [1615010]
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SPreCalc6 1.5.052. [1703863]
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SPreCalc6 1.5.054. [1703877]
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Solve the equation by factoring.
2
5x + 14x = 3
44.
x=
(smaller value)
x=
(larger value)
Question Details
Solve the equation by factoring.
6x(x − 1) = 6 − 11x
45.
x=
(smaller value)
x=
(larger value)
Question Details
Solve the equation by factoring.
2
2x − 50 = 0
46.
x=
(smaller value)
x=
(larger value)
Question Details
Solve the equation by factoring.
2
(2x − 9) = 8
x=
(smaller value)
x=
(larger value)
Assignment Details
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