2. Self-Test

Self-Test

Answers to the Self-Test can be found the end of the textbook.

1. Determine the missing values:
   1. [latex]\displaystyle{\frac{5}{5} = \frac{?}{20} = \frac{24}{?}}[/latex]
   2. [latex]\displaystyle{\frac{12}{22} = \frac{6}{?} = \frac{?}{55}}[/latex]
   3. [latex]\displaystyle{\frac{48}{72} = \frac{12}{?} = \frac{?}{144}}[/latex]
   4. [latex]\displaystyle{\frac{11}{12} = \frac{?}{72} = \frac{22}{?}}[/latex]
2. Reduce the following fractions to their lowest terms:
   1. [latex]\displaystyle{\frac{225}{30}}[/latex]
   2. [latex]\displaystyle{\frac{156}{18}}[/latex]
   3. [latex]\displaystyle{\frac{256}{144}}[/latex]
   4. [latex]\displaystyle{\frac{135}{825}}[/latex]
3. Perform the indicated operations:
   1. [latex]\displaystyle{7\frac{1}{2} + 6\frac{1}{4}}[/latex]
   2. [latex]\displaystyle{5\frac{1}{3} - 3\frac{7}{15}}[/latex]
   3. [latex]\displaystyle{\frac{3}{4} \times \frac{26}{27} \times \frac{9}{13}}[/latex]
   4. [latex]\displaystyle{2\frac{1}{4} \div \frac{3}{8}}[/latex]
4. Perform the indicated operations:
   1. 0.165 + 10.8478 + 14.7 + 2.19
   2. 34.09 – 25.957
   3. 0.524 × 4.08d
   4. 6.893 ÷ 3
5. Express the following numbers in word form
   1. 0.004
   2. 6.05
   3. 300.02
   4. 7.071
6. Convert the decimal numbers to fractions in lowest terms and fractions to decimal numbers:
   

   Question	Decimal Number	Fraction
   a.	0.625	?
   b.	3.2	?
   c.	[latex]0.\overline{72}[/latex]	?
   d.	?	[latex]\displaystyle{\frac{7}{20}}[/latex]
   e.	?	[latex]\displaystyle{1\frac{4}{5}}[/latex]
   f.	?	[latex]\displaystyle{\frac{16}{15}}[/latex]

7. On a certain map, 1 cm represents 125 km. How many km are represented by 4.75 cm? How many cm on the map will represent a distance of 4,725 km?
8. Kyle had $4,000 and gave half of it to Bob. Bob spent a quarter of the money he received from Kyle. How much money does Bob have left?

For problems 9 and 10, evaluate the expressions.

9. 1. [latex]\displaystyle{\sqrt{\frac{81}{64}} - \left(\frac{5}{4}\right)^3 \div \left(\frac{25}{16}\right)^2 + \sqrt{7^2 + 24^2}}[/latex]
   2. [latex]\displaystyle{\left(\frac{3}{5}\right)^3\left(\frac{25}{6}\right)^2 + (\sqrt{0.25})\sqrt{100}}[/latex]
   3. [latex]\displaystyle{\sqrt{5^2 + 12^2} - (\sqrt{0.49})\sqrt{\frac{25}{144}}}[/latex]
10. 1. [latex]\displaystyle{\left(4\frac{9}{10} \div \frac{7}{15} \times 1\frac{3}{5}\right) \div 1\frac{9}{10}}[/latex]
    2. [latex]\displaystyle{3\frac{1}{2} \div 1\frac{2}{5} + \frac{9}{10} \times 2\frac{2}{5} - \frac{3}{4}}[/latex]
    3. [latex]\displaystyle{\left(3\frac{4}{15} + 2\frac{3}{5}\right) \times \left(\frac{5}{6} + \frac{1}{9}\right) - 1\frac{1}{2}}[/latex]
11. Henry took 3 days to make 69 deliveries. On the first day, he completed one-third of the deliveries. On the second day, he made 10 more deliveries than on the first day. How many deliveries did he make on the third day?
12. Niveda spent one-third of her money on a handbag and half of the remainder on shoes. What fraction of her money did she spend on shoes? If she has $40 left, how much did she spend?
13. The cost per day to rent a car is $24.45 plus $0.37 per kilometre driven. What would be the cost to rent a car for 5 days if Sally plans to drive 325.50 km?
14. Ana walked for [latex]\displaystyle{\frac{3}{4}}[/latex] hour at [latex]\displaystyle{5\frac{1}{2}}[/latex] km per hour and jogged for [latex]\displaystyle{\frac{1}{2}}[/latex] hour at 10 km per hour. What was the total distance that she covered?