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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

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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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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