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the sum of −4 and −17 , increased by 32

( −4 + ( −17 ) ) + 32 ; 11

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the difference of 15 and −7 subtract 15 from −7

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the quotient of −45 and −9

−45 −9 ; 5

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the product of −12 and the difference of c and d

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Use Integers in Applications

In the following exercises, solve.

Temperature The high temperature one day in Miami Beach, Florida, was 76 ° . That same day, the high temperature in Buffalo, New York was 8 ° . What was the difference between the temperature in Miami Beach and the temperature in Buffalo?

84 degrees

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Checking Account Adrianne has a balance of $22 in her checking account. She deposits $301 to the account. What is the new balance?

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Visualize Fractions

Find Equivalent Fractions

In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra.

1 4

2 8 , 3 12 , 4 16 answers may vary

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5 6

10 12 , 15 18 , 20 24 answers may vary

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Simplify Fractions

In the following exercises, simplify.

Multiply Fractions

In the following exercises, multiply.

7 12 ( 8 21 )

2 9

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Divide Fractions

In the following exercises, divide.

2 5 ÷ ( −10 )

1 25

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In the following exercises, simplify.

Simplify Expressions Written with a Fraction Bar

In the following exercises, simplify.

15 · 5 5 2 2 · 10

5 2

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2 + 4 ( 3 ) −3 2 2

−2

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7 + 3 ( 5 ) −2 3 2

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Translate Phrases to Expressions with Fractions

In the following exercises, translate each English phrase into an algebraic expression.

the quotient of c and the sum of d and 9.

c d + 9

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the quotient of the difference of h and k , and −5 .

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Add and Subtract Fractions

Add and Subtract Fractions with a Common Denominator

In the following exercises, add.

1 8 + ( 3 8 )

1 2

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In the following exercises, subtract.

y 17 9 17

y 9 17

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8 d 3 d

11 d

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Add or Subtract Fractions with Different Denominators

In the following exercises, add or subtract.

1 5 ( 1 10 )

3 10

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9 16 ( 4 5 )

19 80

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7 20 ( 5 8 )

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Use the Order of Operations to Simplify Complex Fractions

In the following exercises, simplify.

2 3 + 1 2 3 4 2 3

14

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Evaluate Variable Expressions with Fractions

In the following exercises, evaluate.

x + 1 2 when
x = 1 8
x = 1 2

3 8 0

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x + 2 3 when
x = 1 6
x = 5 3

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4 p 2 q when p = 1 2 and q = 5 9

5 9

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5 m 2 n when m = 2 5 and n = 1 3

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u + v w when
u = −4 , v = −8 , w = 2

−6

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m + n p when
m = −6 , n = −2 , p = 4

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Decimals

Name and Write Decimals

In the following exercises, write as a decimal.

Eight and three hundredths

8.03

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Nine and seven hundredths

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In the following exercises, name each decimal.

7.8

seven and eight tenths

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Round Decimals

In the following exercises, round each number to the nearest hundredth tenth whole number.

5.7932

5.79 5.8 6

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12.4768

12.48 12.5 12

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Add and Subtract Decimals

In the following exercises, add or subtract.

Questions & Answers

Discuss the differences between taste and flavor, including how other sensory inputs contribute to our  perception of flavor.
John Reply
taste refers to your understanding of the flavor . while flavor one The other hand is refers to sort of just a blend things.
Faith
While taste primarily relies on our taste buds, flavor involves a complex interplay between taste and aroma
Kamara
which drugs can we use for ulcers
Ummi Reply
omeprazole
Kamara
what
Renee
what is this
Renee
is a drug
Kamara
of anti-ulcer
Kamara
Omeprazole Cimetidine / Tagament For the complicated once ulcer - kit
Patrick
what is the function of lymphatic system
Nency Reply
Not really sure
Eli
to drain extracellular fluid all over the body.
asegid
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include: 1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Adama
what is anatomy
Oyindarmola Reply
Anatomy is the identification and description of the structures of living things
Kamara
what's the difference between anatomy and physiology
Oyerinde Reply
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
AI-Robot
what is enzymes all about?
Mohammed Reply
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
Wulku Reply
little girl okay how does the stomach protect itself from the damaging effect of HCL
Wulku
it is because of the enzyme that the stomach produce that help the stomach from the damaging effect of HCL
Kamara
function of digestive system
Ali Reply
function of digestive
Ali
the diagram of the lungs
Adaeze Reply
what is the normal body temperature
Diya Reply
37 degrees selcius
Xolo
37°c
Stephanie
please why 37 degree selcius normal temperature
Mark
36.5
Simon
37°c
Iyogho
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
Stephanie
37A c
Wulku
what is anaemia
Diya Reply
anaemia is the decrease in RBC count hemoglobin count and PVC count
Eniola
what is the pH of the vagina
Diya Reply
how does Lysin attack pathogens
Diya
acid
Mary
I information on anatomy position and digestive system and there enzyme
Elisha Reply
anatomy of the female external genitalia
Muhammad Reply
Organ Systems Of The Human Body (Continued) Organ Systems Of The Human Body (Continued)
Theophilus Reply
what's lochia albra
Kizito
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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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