Chapter 5

Prealgebra · 525 exercises

Problem 1

Find the distance between each pair of points. Round to the nearest tenth, if necessary. $$A(-1,3), B(8,-6)$$

6 step solution

Problem 1

Find each product. Use an area model if necessary. $$\frac{1}{4} \cdot \frac{3}{5}$$

4 step solution

Problem 1

Find each sum. Write in simplest form. $$\frac{1}{15}+\frac{3}{5}$$

4 step solution

Problem 1

Find the mean, median, and mode for each set of data. If necessary, round to the nearest tenth. $$4,5,7,3,9,11,23,37$$

3 step solution

Problem 1

Find the least common multiple (LCM) of each pair of numbers. $$6,8$$

4 step solution

Problem 1

Find each sum or difference. Write in simplest form. \(\frac{1}{7}+\frac{5}{7}\)

4 step solution

Problem 1

Find the multiplicative inverse of each number. $$\frac{4}{5}$$

3 step solution

Problem 1

Write each number as a fraction. $$-2 \frac{1}{3}$$

5 step solution

Problem 1

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal. $$\frac{7}{8}$$

5 step solution

Problem 2

Find the distance between each pair of points. Round to the nearest tenth, if necessary. $$M(4,-2), N(-6,-7)$$

6 step solution

Problem 2

Find each product. Use an area model if necessary. $$\frac{1}{3} \cdot \frac{2}{5}$$

4 step solution

Problem 2

Find each sum. Write in simplest form. $$\frac{1}{10}+\frac{1}{3}$$

5 step solution

Problem 2

Find the mean, median, and mode for each set of data. If necessary, round to the nearest tenth. $$7.2,3.6,9.0,5.2,7.2,6.5,3.6$$

4 step solution

Problem 2

Find the least common multiple (LCM) of each pair of numbers. $$7,9$$

6 step solution

Problem 2

Find each sum or difference. Write in simplest form. \(\frac{3}{10}+\frac{3}{10}\)

5 step solution

Problem 2

Write each number as a fraction. $$1 \frac{5}{6}$$

4 step solution

Problem 2

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal. $$\frac{3}{5}$$

4 step solution

Problem 3

Solve each equation. Check your solution. $$4 \frac{1}{6}=r+6 \frac{1}{4}$$

5 step solution

Problem 3

Find each product. Use an area model if necessary. $$\frac{3}{4} \cdot \frac{1}{8}$$

5 step solution

Problem 3

Find each sum. Write in simplest form. $$-\frac{1}{6}+\frac{7}{18}$$

4 step solution

Problem 3

Find the least common multiple (LCM) of each pair of numbers. $$10,14$$

3 step solution

Problem 3

Find each sum or difference. Write in simplest form. \(\frac{2}{9}+\left(-\frac{4}{9}\right)\)

4 step solution

Problem 3

Find the multiplicative inverse of each number. $$3 \frac{1}{8}$$

3 step solution

Problem 3

Write each number as a fraction. $$10$$

3 step solution

Problem 3

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal. $$\frac{5}{16}$$

6 step solution

Problem 4

Solve each equation. Check your solution. $$b-5=13.7$$

2 step solution

Problem 4

Find each product. Use an area model if necessary. $$\frac{3}{7} \cdot \frac{1}{6}$$

6 step solution

Problem 4

Find each sum. Write in simplest form. $$8 \frac{5}{12}+11 \frac{1}{4}$$

6 step solution

Problem 4

Find the least common multiple (LCM) of each pair of monomials. $$36 a b, 4 b$$

5 step solution

Problem 4

Find each sum or difference. Write in simplest form. \(2 \frac{1}{6}+8 \frac{3}{6}\)

4 step solution

Problem 4

Find each quotient. Use an area model if necessary. $$\frac{1}{2} \div \frac{6}{7}$$

4 step solution

Problem 4

A micron is a unit of measure that is approximately 0.000039 inch. Express this as a fraction.

4 step solution

Problem 4

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal. $$1 \frac{3}{20}$$

3 step solution

Problem 5

Solve each equation. Check your solution. $$c-\frac{3}{5}=\frac{5}{6}$$

4 step solution

Problem 5

Find the mean, median, and mode for each set of data. If necessary, round to the nearest tenth. The number of books sold during the past week is shown below. Which measure of central tendency best represents the data? Justify your selection and then find the measure of central tendency. $$53,61,46,59,61,55,49$$ (TABLE NOT COPY)

4 step solution

Problem 5

Find each product. Use an area model if necessary. $$\frac{5}{10} \cdot \frac{2}{9}$$

5 step solution

Problem 5

Find each sum. Write in simplest form. $$4 \frac{3}{8}+10 \frac{5}{12}$$

5 step solution

Problem 5

Find the least common multiple (LCM) of each pair of monomials. $$5 x^{2}, 12 y^{2}$$

3 step solution

Problem 5

Find each sum or difference. Write in simplest form. \(-2 \frac{4}{5}+\left(-\frac{2}{5}\right)\)

3 step solution

Problem 5

Write each decimal as a fraction or mixed number in simplest form. $$0.8$$

4 step solution

Problem 5

Find each quotient. Use an area model if necessary. $$-\frac{2}{3} \div\left(-\frac{5}{6}\right)$$

6 step solution

Problem 5

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal. $$2 \frac{2}{5}$$

4 step solution

Problem 6

Solve each equation. Check your solution. $$a-2.7=3.2$$

3 step solution

Problem 6

Find each product. Use an area model if necessary. $$\frac{4}{5} \cdot \frac{5}{8}$$

6 step solution

Problem 6

Find the least common multiple (LCM) of each pair of monomials. $$14 e^{3}, 8 e^{2}$$

3 step solution

Problem 6

Find each sum. Write in simplest form. $$6 \frac{4}{5}+\left(-1 \frac{3}{4}\right)$$

5 step solution

Problem 6

Find each sum or difference. Write in simplest form. \(3 \frac{3}{8}+6 \frac{5}{8}\)

4 step solution

Problem 6

Write each decimal as a fraction or mixed number in simplest form. $$6.35$$

4 step solution

Problem 6

Find each quotient. Use an area model if necessary. $$-\frac{4}{5} \div \frac{8}{9}$$

5 step solution

Problem 6

Write each fraction or mixed number as a decimal. Use a bar to show a repeating decimal. $$6 \frac{3}{4}$$

3 step solution

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