Chapter 1

Elementary Algebra · 233 exercises

Problem 8

For the following problems, determine which whole numbers are prime and which are composite. 9

2 step solution

Problem 8

For the following problems, express each product using exponents. $$ 3 \cdot 3 \cdot 10 \cdot 10 \cdot 10 $$

3 step solution

Problem 8

Use the order of operations to find each value. $$4+3[2+3(1+8 \div 4)]$$

4 step solution

Problem 9

For the following problems, convert each fraction to a percent. $$ \frac{27}{55} $$

3 step solution

Problem 9

For the following problems, perform each indicated operation. \(\frac{3}{7} \cdot \frac{14}{18} \cdot \frac{6}{2}\)

3 step solution

Problem 9

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{10}{12}\)

3 step solution

Problem 9

For the following problems, find the least common multiple of given numbers. 28,42

3 step solution

Problem 9

For the following problems, determine which whole numbers are prime and which are composite. 11

4 step solution

Problem 9

Suppose that the letters \(x\) and \(y\) are each used to represent numbers. Use exponents to express the following product. \(x \cdot x \cdot x \cdot y \cdot y\)

3 step solution

Problem 9

Use the order of operations to find each value. $$\frac{19+2\\{5+2[18+6(4+1)]\\}}{5 \cdot 6-3(5)-2}$$

6 step solution

Problem 10

For the following problems, convert each fraction to a percent. $$ \frac{7}{27} $$

2 step solution

Problem 10

For the following problems, perform each indicated operation. \(\frac{14}{15} \cdot \frac{21}{28} \cdot \frac{45}{7}\)

3 step solution

Problem 10

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{32}{28}\)

3 step solution

Problem 10

For the following problems, find the least common multiple of given numbers. 20,24

3 step solution

Problem 10

Suppose that the letters \(x\) and \(y\) are each used to represent numbers. Use exponents to express the following product. \(x \cdot x \cdot x \cdot x \cdot x \cdot y \cdot y \cdot y\)

2 step solution

Problem 10

For the following problems, use the order of operations to find each value. $$2+3(6)$$

4 step solution

Problem 11

For the following problems, perform each indicated operation. \(\frac{5}{9} \div \frac{5}{6}\)

4 step solution

Problem 11

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{36}{10}\)

3 step solution

Problem 11

For the following problems, find the least common multiple of given numbers. 25,30

2 step solution

Problem 11

For the following problems, expand each product (do not compute the actual value). \(3^{4}\)

2 step solution

Problem 11

For the following problems, use the order of operations to find each value. $$18-7(8-3)$$

3 step solution

Problem 12

For the following problems, perform each indicated operation. \(\frac{9}{16} \div \frac{15}{8}\)

4 step solution

Problem 12

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{26}{60}\)

4 step solution

Problem 12

For the following problems, find the least common multiple of given numbers. 24,54

3 step solution

Problem 12

For the following problems, expand each product (do not compute the actual value). \(4^{3}\)

3 step solution

Problem 12

For the following problems, use the order of operations to find each value. $$8 \cdot 4 \div 16+5$$

3 step solution

Problem 13

For the following problems, convert each decimal to a percent. $$ 0.36 $$

2 step solution

Problem 13

For the following problems, perform each indicated operation. \(\frac{4}{9} \div \frac{6}{15}\)

5 step solution

Problem 13

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{12}{18}\)

4 step solution

Problem 13

For the following problems, find the least common multiple of given numbers. 16,24

3 step solution

Problem 13

For the following problems, expand each product (do not compute the actual value). \(2^{5}\)

2 step solution

Problem 13

For the following problems, use the order of operations to find each value. $$(21+4) \div 5 \cdot 2$$

4 step solution

Problem 14

For the following problems, convert each decimal to a percent. $$ 0.42 $$

3 step solution

Problem 14

For the following problems, perform each indicated operation. \(\frac{25}{49} \div \frac{4}{9}\)

4 step solution

Problem 14

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{18}{27}\)

4 step solution

Problem 14

For the following problems, find the least common multiple of given numbers. 36,48

3 step solution

Problem 14

For the following problems, expand each product (do not compute the actual value). \(9^{6}\)

3 step solution

Problem 14

For the following problems, use the order of operations to find each value. $$3(8+2) \div 6+3$$

4 step solution

Problem 15

For the following problems, convert each decimal to a percent. $$ 0.446 $$

2 step solution

Problem 15

For the following problems, perform each indicated operation. \(\frac{15}{4} \div \frac{27}{8}\)

3 step solution

Problem 15

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{18}{24}\)

4 step solution

Problem 15

For the following problems, find the least common multiple of given numbers. 15,21

5 step solution

Problem 15

For the following problems, determine which whole numbers are prime and which are composite. 209

4 step solution

Problem 15

For the following problems, expand each product (do not compute the actual value). \(5^{3} \cdot 6^{2}\)

4 step solution

Problem 15

For the following problems, use the order of operations to find each value. $$6(4+1) \div(16 \div 8)-15$$

3 step solution

Problem 16

For the following problems, convert each decimal to a percent. $$ 0.1298 $$

2 step solution

Problem 16

For the following problems, perform each indicated operation. \(\frac{24}{75} \div \frac{8}{15}\)

4 step solution

Problem 16

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{32}{40}\)

2 step solution

Problem 16

For the following problems, find the least common multiple of given numbers. 7, 11, 33

3 step solution

Problem 16

For the following problems, find the prime factorization of each whole number. Use exponents on repeated factors. 26

4 step solution

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