Chapter 1

Elementary Algebra · 233 exercises

Problem 1

For the following problems, convert each fraction to a percent. $$ \frac{2}{5} $$

3 step solution

Problem 1

For the following problems, perform each indicated operation. \(\frac{1}{3} \cdot \frac{4}{3}\)

4 step solution

Problem 1

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{6}{8}\)

3 step solution

Problem 1

For the following problems, find the least common multiple of given numbers. 8,12

3 step solution

Problem 1

For the following problems, determine which whole numbers are prime and which are composite. 23

4 step solution

Problem 1

Represent the product of 29 and \(x\) five different way s. If we let \(a\) and \(b\) represent two numbers, then \(a\) and \(b\) are related in exactly one of three ways:

5 step solution

Problem 1

For the following problems, express each product using exponents. $$ 8 \cdot 8 \cdot 8 $$

3 step solution

Problem 2

For the following problems, convert each fraction to a percent. $$ \frac{7}{8} $$

3 step solution

Problem 2

For the following problems, perform each indicated operation. \(\frac{1}{3} \cdot \frac{2}{3}\)

5 step solution

Problem 2

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{5}{10}\)

4 step solution

Problem 2

For the following problems, find the least common multiple of given numbers. 8,10

3 step solution

Problem 2

For the following problems, express each product using exponents. $$ 12 \cdot 12 \cdot 12 \cdot 12 \cdot 12 $$

2 step solution

Problem 2

Use the grouping symbols to help perform the following operations. $$3(1+8)$$

4 step solution

Problem 3

For the following problems, convert each fraction to a percent. $$ \frac{1}{8} $$

2 step solution

Problem 3

For the following problems, perform each indicated operation. \(\frac{2}{5} \cdot \frac{5}{6}\)

5 step solution

Problem 3

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{6}{14}\)

3 step solution

Problem 3

For the following problems, find the least common multiple of given numbers. 6,12

4 step solution

Problem 3

For the following problems, express each product using exponents. $$ 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 $$

2 step solution

Problem 3

Use the grouping symbols to help perform the following operations. $$4[2(11-5)]$$

3 step solution

Problem 4

For the following problems, convert each fraction to a percent. $$ \frac{5}{16} $$

2 step solution

Problem 4

For the following problems, perform each indicated operation. \(\frac{5}{6} \cdot \frac{14}{15}\)

3 step solution

Problem 4

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{4}{14}\)

3 step solution

Problem 4

For the following problems, find the least common multiple of given numbers. 9,18

3 step solution

Problem 4

For the following problems, determine which whole numbers are prime and which are composite. 2

4 step solution

Problem 4

For the following problems, express each product using exponents. $$ 1 \cdot 1 $$

4 step solution

Problem 4

Use the grouping symbols to help perform the following operations. $$6\\{2[2(10-9)]\\}$$

4 step solution

Problem 5

For the following problems, convert each fraction to a percent. $$ 15 \div 22 $$

3 step solution

Problem 5

For the following problems, perform each indicated operation. \(\frac{9}{16} \cdot \frac{20}{27}\)

2 step solution

Problem 5

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

3 step solution

Problem 5

For the following problems, find the least common multiple of given numbers. 5,6

4 step solution

Problem 5

For the following problems, determine which whole numbers are prime and which are composite. 3

4 step solution

Problem 5

For the following problems, express each product using exponents. $$ 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 4 \cdot 4 $$

2 step solution

Problem 5

Use the grouping symbols to help perform the following operations. $$\frac{1+19}{2+3}$$

2 step solution

Problem 6

For the following problems, convert each fraction to a percent. $$ \frac{2}{11} $$

3 step solution

Problem 6

For the following problems, perform each indicated operation. \(\frac{35}{36} \cdot \frac{48}{55}\)

3 step solution

Problem 6

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{20}{8}\)

4 step solution

Problem 6

For the following problems, find the least common multiple of given numbers. 7,9

3 step solution

Problem 6

For the following problems, determine which whole numbers are prime and which are composite. 5

3 step solution

Problem 6

For the following problems, express each product using exponents. $$ 8 \cdot 8 \cdot 8 \cdot 15 \cdot 15 \cdot 15 \cdot 15 $$

2 step solution

Problem 6

Use the order of operations to find each value. $$25+8(3)$$

4 step solution

Problem 7

For the following problems, convert each fraction to a percent. $$ \frac{2}{9} $$

5 step solution

Problem 7

For the following problems, perform each indicated operation. \(\frac{21}{25} \cdot \frac{15}{14}\)

3 step solution

Problem 7

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{10}{6}\)

3 step solution

Problem 7

For the following problems, find the least common multiple of given numbers. 24,36

4 step solution

Problem 7

For the following problems, determine which whole numbers are prime and which are composite. 7

5 step solution

Problem 7

Use the order of operations to find each value. $$2+3(18-5 \cdot 2)$$

5 step solution

Problem 8

For the following problems, convert each fraction to a percent. $$ \frac{16}{45} $$

3 step solution

Problem 8

For the following problems, perform each indicated operation. \( 1.11+12.1212-13.131313 \)

4 step solution

Problem 8

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{14}{4}\)

3 step solution

Problem 8

For the following problems, find the least common multiple of given numbers. 24,36

3 step solution

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