<< Chapter < Page Chapter >> Page >

( 11 a + 3 ) 18 a = −4

Got questions? Get instant answers now!

4 z 2 z ( 1 + 4 ) = 36

−6

Got questions? Get instant answers now!

4 y ( 7 2 ) 2 = −200

Got questions? Get instant answers now!

( 2 x ) 2 + 1 = −3

± 1

Got questions? Get instant answers now!

8 ( 2 + 4 ) 15 b = b

Got questions? Get instant answers now!

1 4 ( 8 w 4 2 ) = 0

2

Got questions? Get instant answers now!

For the following exercises, simplify the expression.

2 y ( 4 ) 2 y 11

−14 y 11

Got questions? Get instant answers now!

a 2 3 ( 64 ) 12 a ÷ 6

Got questions? Get instant answers now!

8 b 4 b ( 3 ) + 1

−4 b + 1

Got questions? Get instant answers now!

5 l ÷ 3 l × ( 9 6 )

Got questions? Get instant answers now!

7 z 3 + z × 6 2

43 z 3

Got questions? Get instant answers now!

4 × 3 + 18 x ÷ 9 12

Got questions? Get instant answers now!

9 ( y + 8 ) 27

9 y + 45

Got questions? Get instant answers now!

6 + 12 b 3 × 6 b

−6 b + 6

Got questions? Get instant answers now!

( 4 9 ) 2 × 27 x

16 x 3

Got questions? Get instant answers now!

8 ( 3 m ) + 1 ( 8 )

Got questions? Get instant answers now!

9 x + 4 x ( 2 + 3 ) 4 ( 2 x + 3 x )

9 x

Got questions? Get instant answers now!

Real-world applications

For the following exercises, consider this scenario: Fred earns $40 mowing lawns. He spends $10 on mp3s, puts half of what is left in a savings account, and gets another $5 for washing his neighbor’s car.

Write the expression that represents the number of dollars Fred keeps (and does not put in his savings account). Remember the order of operations.

1 2 ( 40 10 ) + 5

Got questions? Get instant answers now!

How much money does Fred keep?

Got questions? Get instant answers now!

For the following exercises, solve the given problem.

According to the U.S. Mint, the diameter of a quarter is 0.955 inches. The circumference of the quarter would be the diameter multiplied by π . Is the circumference of a quarter a whole number, a rational number, or an irrational number?

irrational number

Got questions? Get instant answers now!

Jessica and her roommate, Adriana, have decided to share a change jar for joint expenses. Jessica put her loose change in the jar first, and then Adriana put her change in the jar. We know that it does not matter in which order the change was added to the jar. What property of addition describes this fact?

Got questions? Get instant answers now!

For the following exercises, consider this scenario: There is a mound of g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel is added to the mound. Two orders of 600 pounds are sold and the gravel is removed from the mound. At the end of the day, the mound has 1,200 pounds of gravel.

Write the equation that describes the situation.

g + 400 2 ( 600 ) = 1200

Got questions? Get instant answers now!

For the following exercise, solve the given problem.

Ramon runs the marketing department at his company. His department gets a budget every year, and every year, he must spend the entire budget without going over. If he spends less than the budget, then his department gets a smaller budget the following year. At the beginning of this year, Ramon got $2.5 million for the annual marketing budget. He must spend the budget such that 2,500,000 x = 0. What property of addition tells us what the value of x must be?

inverse property of addition

Got questions? Get instant answers now!

Technology

For the following exercises, use a graphing calculator to solve for x . Round the answers to the nearest hundredth.

0.5 ( 12.3 ) 2 48 x = 3 5

Got questions? Get instant answers now!

( 0.25 0.75 ) 2 x 7.2 = 9.9

68.4

Got questions? Get instant answers now!

Extensions

If a whole number is not a natural number, what must the number be?

Got questions? Get instant answers now!

Determine whether the statement is true or false: The multiplicative inverse of a rational number is also rational.

true

Got questions? Get instant answers now!

Determine whether the statement is true or false: The product of a rational and irrational number is always irrational.

Got questions? Get instant answers now!

Determine whether the simplified expression is rational or irrational: −18 4 ( 5 ) ( −1 ) .

irrational

Got questions? Get instant answers now!

Determine whether the simplified expression is rational or irrational: −16 + 4 ( 5 ) + 5 .

Got questions? Get instant answers now!

The division of two whole numbers will always result in what type of number?

rational

Got questions? Get instant answers now!

What property of real numbers would simplify the following expression: 4 + 7 ( x 1 ) ?

Got questions? Get instant answers now!

Questions & Answers

how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
Aminu Reply
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Esinniobiwa Reply
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Shu Reply
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Micheal Reply
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
what is cell
faisal Reply
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
ok
Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
Micheal Reply
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
en français
Adama
which site have a normal flora
ESTHER Reply
Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
Safaa
skin
Asiina
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
all
Tesfaye
by fussion
Asiina
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
what is inflammation
Shelly Reply
part of a tissue or an organ being wounded or bruised.
Wilfred
what term is used to name and classify microorganisms?
Micheal Reply
Binomial nomenclature
adeolu
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Algebra and trigonometry' conversation and receive update notifications?

Ask