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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

I'm interested in biological psychology and cognitive psychology
Tanya Reply
what does preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
why is communication effective
Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
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Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
Wekolamo Reply
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Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Manix Reply
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
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Jonathan
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
Kelu Reply
interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
treat them normal, if they want help then give them. that will make everyone happy
Saurabh
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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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