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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

where's the answers?
Ed Reply
I don't see where the answers are.
Ed
Cindy and Richard leave their dorm in Charleston at the same time. Cindy rides her bicycle north at a speed of 18 miles per hour. Richard rides his bicycle south at a speed of 14 miles per hour. How long will it take them to be 96 miles apart?
Maddy Reply
3
Christopher
18t+14t=96 32t=96 32/96 3
Christopher
show that a^n-b^2n is divisible by a-b
Florence Reply
What does 3 times your weight right now
Cherokee Reply
Use algebra to combine 39×5 and the half sum of travel of 59+30
Cherokee
What is the segment of 13? Explain
Cherokee
my weight is 49. So 3 times is 147
Cherokee
kg to lbs you goin to convert 2.2 or one if the same unit your going to time your body weight by 3. example if my body weight is 210lb. what would be my weight if I was 3 times as much in kg. that's you do 210 x3 = 630lb. then 630 x 2.2= .... hope this helps
tyler
How to convert grams to pounds?
paul
What is the lcm of 340
Kendra Reply
Yes
Cherokee
How many numbers each equal to y must be taken to make 15xy
Malik Reply
15x
Martin
15x
Asamoah
15x
Hugo
1y
Tom
1y x 15y
Tom
find the equation whose roots are 1 and 2
Adda Reply
(x - 2)(x -1)=0 so equation is x^2-x+2=0
Ranu
I believe it's x^2-3x+2
NerdNamedGerg
because the X's multiply by the -2 and the -1 and than combine like terms
NerdNamedGerg
find the equation whose roots are -1 and 4
Adda
Ans = ×^2-3×+2
Gee
find the equation whose roots are -2 and -1
Adda
(×+1)(×-4) = x^2-3×-4
Gee
Quadratic equations involving factorization
Winner Reply
there's a chatting option in the app wow
Nana
That's cool cool
Nana
Nice to meet you all
Nana
you too.
Joan
😃
Nana
Hey you all there are several Free Apps that can really help you to better solve type Equations.
Debra
Debra, which apps specifically. ..?
Nana
am having a course in elementary algebra ,any recommendations ?
samuel
Samuel Addai, me too at ucc elementary algebra as part of my core subjects in science
Nana
me too as part of my core subjects in R M E
Ken
at ABETIFI COLLEGE OF EDUCATION
Ken
ok great. Good to know.
Joan
5x + 1/3= 2x + 1/2
sanam
Plz solve this
sanam
5x - 3x = 1/2 - 1/3 2x = 1/6 x = 1/12
Ranu
Thks ranu
sanam
a trader gains 20 rupees loses 42 rupees and then gains ten rupees Express algebraically the result of his transactions
vinaya Reply
a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions
vinaya
a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions
vinaya
a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions
vinaya
Kim is making eight gallons of punch from fruit juice and soda. The fruit juice costs $6.04 per gallon and the soda costs $4.28 per gallon. How much fruit juice and how much soda should she use so that the punch costs $5.71 per gallon?
Mohamed Reply
(a+b)(p+q+r)(b+c)(p+q+r)(c+a) (p+q+r)
muhammad Reply
4x-7y=8 2x-7y=1 what is the answer?
Ramil Reply
x=7/2 & y=6/7
Pbp
x=7/2 & y=6/7 use Elimination
Debra
true
bismark
factoriz e
usman
4x-7y=8 X=7/4y+2 and 2x-7y=1 x=7/2y+1/2
Peggie
Ok cool answer peggie
Frank
thanks
Ramil
copy and complete the table. x. 5. 8. 12. then 9x-5. to the 2nd power+4. then 2xto the second power +3x
Sandra Reply
What is c+4=8
Penny Reply
2
Letha
4
Lolita
4
Rich
4
thinking
C+4=8 -4 -4 C =4
thinking
I need to study
Letha
4+4=8
William
During two years in college, a student earned $9,500. The second year, she earned $500 more than twice the amount she earned the first year.
Nicole Reply
9500=500+2x
Debra
9500-500=9000 9000÷2×=4500 X=4500
Debra
X + Y = 9500....... & Y = 500 + 2X so.... X + 500 + 2X = 9500, them X = 3000 & Y = 6500
Pbp

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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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