h. i. x³ = -29 3 -6x -

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.1: Counting
Problem 2E: The number of ways of arranging r objects form n objects in order is called the number of...
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#20 

Letter i

 

e this infor-
it will have
bed $2 per
integers and
Es offer to
ng integers
pay in order
the defi-
form
mplest
ons is
Write
wing
s by
e m
rop-
ra-
a
a-
possible values of x?
of the following.
(2)(3) € I
16. If 54+x is an integer and x is an integer, what are the
17. Identify the property of integers being illustrated in each
b. (-4)0 = 0
d. (72)3
c. 2(3 + 4) = 2(3) + (2)4
3(-2)
of numbers.
18. The quotient of two integers is 4. List four possible pairs
-
possible.
19. Multiply each of the following and combine terms where
a.
-x(x - y - 3)
b. (¯5 - x)(5 + x)
c. (x - y - 1)(x + y + 1)
20. Find all integers x (if any) that make the statements in
parts (a)-(k) true.
a. x² = 9
b. x² = -9
c. ¯¯¯x ÷ ¯¯x = 1
d.
x² is negative.
e. (1-x) = x - 1
-2x
f. x - 3x
g. 3(x + 2) = ¯3x + 6
h. (2x - 1)² = (1-2x)²
i. x³ = -2⁹
j.
=
Section 5-2 Multiplication and
-
6x > ¯x + 20
k.
5(x - 3) > 5
m. If x <
1. If x > 2, find the values of 3 - 5x.
0, find the values of 2 - 7x.
21. Use the difference-of-squares formula to simplify or com-
pute each of the following, if possible.
a. (2 + 3x) (2 - 3x)
b. (x - 1)(1+x)
c. 213² - 13²
c. 3x - 4x + 7x
d. 3x² + xy - x
e. (a + b)(c + 1) - (a + b)
f. x² - 9y²
edipo
g. (x² - y²) + x + y
22. Factor each of the following expressions completely and
then simplify, if possible.
a. ax + 2x
b. ax - 2x
ee
23. Show that (a − 1)² = a²
the
24. In each of the following,
sequence is arithmeti
mon difference or ratio a
a. 10,7,4, 1, 2, 5,..
b. 2, 4, 8, 16, 32, 64,
25. Find the missing terms
metric sequences.
a. -4,-16,__-1024
27, 9,3, _
b.
26. A hot air balloon des
6 minutes and then-
8 minutes. Write thi
the net result on ba
Tots as railw 2012
27. A paper cup is 8 in
rim. The cups nest
fitting in a cup be
height of n nested
unseen nested p
28. A deep-sea diver
at a rate of 60 fee
using integers a
10 minutes.
29. On a certain d
Write this info
long it took t
30. Jose has $250
a month. If h
not buy any
money doe
31. Lake Meac
Vegas dra
water is j
drops at
tion usin
the pipe
32. Eli is sc
0 feet, a
this inf
after o
33. The de
You d
per s
calcu
the 1
Transcribed Image Text:e this infor- it will have bed $2 per integers and Es offer to ng integers pay in order the defi- form mplest ons is Write wing s by e m rop- ra- a a- possible values of x? of the following. (2)(3) € I 16. If 54+x is an integer and x is an integer, what are the 17. Identify the property of integers being illustrated in each b. (-4)0 = 0 d. (72)3 c. 2(3 + 4) = 2(3) + (2)4 3(-2) of numbers. 18. The quotient of two integers is 4. List four possible pairs - possible. 19. Multiply each of the following and combine terms where a. -x(x - y - 3) b. (¯5 - x)(5 + x) c. (x - y - 1)(x + y + 1) 20. Find all integers x (if any) that make the statements in parts (a)-(k) true. a. x² = 9 b. x² = -9 c. ¯¯¯x ÷ ¯¯x = 1 d. x² is negative. e. (1-x) = x - 1 -2x f. x - 3x g. 3(x + 2) = ¯3x + 6 h. (2x - 1)² = (1-2x)² i. x³ = -2⁹ j. = Section 5-2 Multiplication and - 6x > ¯x + 20 k. 5(x - 3) > 5 m. If x < 1. If x > 2, find the values of 3 - 5x. 0, find the values of 2 - 7x. 21. Use the difference-of-squares formula to simplify or com- pute each of the following, if possible. a. (2 + 3x) (2 - 3x) b. (x - 1)(1+x) c. 213² - 13² c. 3x - 4x + 7x d. 3x² + xy - x e. (a + b)(c + 1) - (a + b) f. x² - 9y² edipo g. (x² - y²) + x + y 22. Factor each of the following expressions completely and then simplify, if possible. a. ax + 2x b. ax - 2x ee 23. Show that (a − 1)² = a² the 24. In each of the following, sequence is arithmeti mon difference or ratio a a. 10,7,4, 1, 2, 5,.. b. 2, 4, 8, 16, 32, 64, 25. Find the missing terms metric sequences. a. -4,-16,__-1024 27, 9,3, _ b. 26. A hot air balloon des 6 minutes and then- 8 minutes. Write thi the net result on ba Tots as railw 2012 27. A paper cup is 8 in rim. The cups nest fitting in a cup be height of n nested unseen nested p 28. A deep-sea diver at a rate of 60 fee using integers a 10 minutes. 29. On a certain d Write this info long it took t 30. Jose has $250 a month. If h not buy any money doe 31. Lake Meac Vegas dra water is j drops at tion usin the pipe 32. Eli is sc 0 feet, a this inf after o 33. The de You d per s calcu the 1
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