# 7.9 Proficiency exam

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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is a proficiency exam to the chapter "Ratios and Rates." Each problem is accompanied with a reference link pointing back to the module that discusses the type of problem demonstrated in the question. The problems in this exam are accompanied by solutions.

## Proficiency exam

( [link] ) Compare 4 cassette tapes to 7 dollars.

$\frac{\text{4 cassette tapes}}{\text{7 dollars}}$

( [link] ) What do we call a comparison, by division, of two unlike denominate numbers?

Rate

For problems 3 and 4, express each ratio or rate as a fraction.

( [link] ) 11 to 9

$\frac{\text{11}}{9}$

$\frac{\text{5 televisions}}{\text{2 radios}}$

For problems 5 and 6, write each ratio or rate in the form " $a$ to $b$ ."

( [link] ) $\frac{\text{8 maps}}{\text{3 people}}$

8 maps to 3 people

( [link] ) $\frac{\text{2 psychologists}}{\text{75 people}}$

two psychologists to seventy-five people

For problems 7-9, solve each proportion.

( [link] ) $\frac{8}{x}=\frac{\text{48}}{\text{90}}$

15

( [link] ) $\frac{x}{7}=\frac{4}{\text{28}}$

1

64

( [link] ) On a map, 4 inches represents 50 miles. How many miles does 3 inches represent?

$\text{37}\frac{1}{2}$

( [link] ) An acid solution is composed of 6 milliliters of acid to 10 milliliters of water. How many milliliters of acid are there in an acid solution that is composed of 3 milliliters of water?

1.8

( [link] ) The odds that a particular event will occur are 9 to 7. If the event occurs 27 times, how many times would you predict it will it not occur?

21

For problems 13 and 14, convert each decimal to a percent.

82%

( [link] ) $3.\stackrel{_}{7}$

$\text{377}\frac{7}{9}\text{}$ %

For problems 15 and 16, convert each percent to a decimal.

0.02813

0.00006

For problems 17-19, convert each fraction to a percent.

( [link] ) $\frac{\text{42}}{5}$

840%

( [link] ) $\frac{1}{8}$

12.5%

( [link] ) $\frac{\text{800}}{\text{80}}$

1,000%

For problems 20 and 21, convert each percent to a fraction.

$\frac{3}{\text{20}}$

( [link] ) $\frac{4}{\text{27}}$ %

$\frac{4}{2,\text{700}}\text{or}\frac{1}{\text{675}}$

For problems 22-25, find each indicated quantity.

( [link] ) What is 18% of 26?

4.68

( [link] ) 0.618 is what percent of 0.3?

206

( [link] ) 0.1 is 1.1% of what number?

$9\text{.}\overline{\text{09}}$

( [link] ) A salesperson makes a monthly salary of $1,000.00. He also gets a commission of 12% of his total monthly sales. If, in a particular month, he sells$5,500.00 worth of merchandise, what is his income that month?

\$1,660

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Professor
I think
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7hours 36 min - 4hours 50 min