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In the following exercises, simplify

3 4 ( 15.44 7.4 )

6.03

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2 5 · 9 10 + 0.14

−0.22

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Find the Circumference and Area of Circles

In the following exercises, approximate the circumference and area of each circle.

radius = 3.5 ft.

  1. 21.98 ft.
  2. 38.465 sq.ft.

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diameter = 11 cm

  1. 34.54 cm
  2. 379.94 sq.cm

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Solve Equations with Decimals

Determine Whether a Decimal is a Solution of an Equation

In the following exercises, determine whether the each number is a solution of the given equation.

x 0.4 = 2.1 x = 1.7 x = 2.5

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y + 3.2 = −1.5 y = 1.7 y = −4.7

  1. no
  2. yes

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u 2.5 = −12.5 u = −5 u = −31.25

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0.45 v = −40.5 v = −18.225 v = −90

  1. no
  2. yes

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Solve Equations with Decimals

In the following exercises, solve.

h + 5.91 = 2.4

h = −3.51

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p 4.3 = −1.65

p = 2.65

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j 7.42 = −3.7

j = 3.72

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−8.6 x = 34.4

x = −4

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a 0.3 = −24

a = −7.2

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Translate to an Equation and Solve

In the following exercises, translate and solve.

The difference of n and 15.2 is 4.4 .

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The product of −5.9 and x is −3.54 .

−5.9 x = −3.54; x = 0.6

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The quotient of y and −1.8 is −9 .

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The sum of m and −4.03 is 6.8 .

m + (−4.03) = 6.8; m = 0.83

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Averages and Probability

Find the Mean of a Set of Numbers

In the following exercises, find the mean of the numbers.

2 , 4 , 1 , 0 , 1 , and 1

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$270 , $310.50 , $243.75 , and $252.15

$269.10

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Each workday last week, Yoshie kept track of the number of minutes she had to wait for the bus. She waited 3 , 0 , 8 , 1 , and 8 minutes. Find the mean

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In the last three months, Raul’s water bills were $31.45 , $48.76 , and $42.60 . Find the mean.

$40.94

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Find the Median of a Set of Numbers

In the following exercises, find the median.

25 , 23 , 24 , 26 , 29 , 19 , 18 , 32

24.5

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The ages of the eight men in Jerry’s model train club are 52 , 63 , 45 , 51 , 55 , 75 , 60 , and 59 . Find the median age.

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The number of clients at Miranda’s beauty salon each weekday last week were 18 , 7 , 12 , 16 , and 20 . Find the median number of clients.

16 clients

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Find the Mode of a Set of Numbers

In the following exercises, identify the mode of the numbers.

6 , 4 , 4 , 5 , 6 , 6 , 4 , 4 , 4 , 3 , 5

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The number of siblings of a group of students: 2 , 0 , 3 , 2 , 4 , 1 , 6 , 5 , 4 , 1 , 2 , 3

2

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Use the Basic Definition of Probability

In the following exercises, solve. (Round decimals to three places.)

The Sustainability Club sells 200 tickets to a raffle, and Albert buys one ticket. One ticket will be selected at random to win the grand prize. Find the probability Albert will win the grand prize. Express your answer as a fraction and as a decimal.

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Luc has to read 3 novels and 12 short stories for his literature class. The professor will choose one reading at random for the final exam. Find the probability that the professor will choose a novel for the final exam. Express your answer as a fraction and as a decimal.

1 5 ; 0.2

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Ratios and Rate

Write a Ratio as a Fraction

In the following exercises, write each ratio as a fraction. Simplify the answer if possible.

Write a Rate as a Fraction

In the following exercises, write each rate as a fraction. Simplify the answer if possible.

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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