Chapter 2

Elementary Algebra · 414 exercises

Problem 1

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{2}{7}+\frac{3}{7}$$

4 step solution

Problem 1

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ 2^{6} $$

7 step solution

Problem 1

Reduce each fraction to lowest terms. $$\frac{8}{12}$$

4 step solution

Problem 2

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{3}{11}+\frac{5}{11}$$

4 step solution

Problem 2

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ 2^{7} $$

4 step solution

Problem 2

Reduce each fraction to lowest terms. $$\frac{12}{16}$$

5 step solution

Problem 3

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{7}{9}-\frac{2}{9}$$

4 step solution

Problem 3

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ 3^{4} $$

6 step solution

Problem 3

Reduce each fraction to lowest terms. $$\frac{16}{24}$$

3 step solution

Problem 4

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{11}{13}-\frac{6}{13}$$

3 step solution

Problem 4

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ 4^{3} $$

4 step solution

Problem 4

Reduce each fraction to lowest terms. $$\frac{18}{32}$$

3 step solution

Problem 5

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{3}{4}+\frac{9}{4}$$

5 step solution

Problem 5

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ (-2)^{3} $$

5 step solution

Problem 5

Reduce each fraction to lowest terms. $$\frac{15}{9}$$

3 step solution

Problem 6

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{5}{6}+\frac{7}{6}$$

3 step solution

Problem 6

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ (-2)^{5} $$

5 step solution

Problem 6

Reduce each fraction to lowest terms. $$\frac{48}{36}$$

3 step solution

Problem 7

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{11}{12}-\frac{3}{12}$$

3 step solution

Problem 7

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ -3^{2} $$

3 step solution

Problem 7

Reduce each fraction to lowest terms. $$\frac{-8}{48}$$

4 step solution

Problem 8

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{13}{16}-\frac{7}{16}$$

4 step solution

Problem 8

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ -3^{4} $$

3 step solution

Problem 8

Reduce each fraction to lowest terms. $$\frac{-3}{15}$$

3 step solution

Problem 9

Perform the indicated operations. $$0.37+0.25$$

5 step solution

Problem 9

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{1}{8}-\frac{5}{8}$$

4 step solution

Problem 9

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ (-4)^{2} $$

4 step solution

Problem 9

Reduce each fraction to lowest terms. $$\frac{27}{-36}$$

3 step solution

Problem 10

Perform the indicated operations. $$7.2+4.9$$

5 step solution

Problem 10

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{2}{9}-\frac{5}{9}$$

5 step solution

Problem 10

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ (-5)^{4} $$

4 step solution

Problem 10

Reduce each fraction to lowest terms. $$\frac{9}{-51}$$

5 step solution

Problem 11

Perform the indicated operations. $$2.93-1.48$$

6 step solution

Problem 11

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{5}{24}+\frac{11}{24}$$

4 step solution

Problem 11

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ \left(\frac{2}{3}\right)^{4} $$

5 step solution

Problem 11

Reduce each fraction to lowest terms. $$\frac{-54}{-56}$$

4 step solution

Problem 12

Perform the indicated operations. $$14.36-5.89$$

8 step solution

Problem 12

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{7}{36}+\frac{13}{36}$$

4 step solution

Problem 12

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ \left(\frac{3}{4}\right)^{3} $$

3 step solution

Problem 12

Reduce each fraction to lowest terms. $$\frac{-24}{-80}$$

3 step solution

Problem 13

Perform the indicated operations. $$(7.6)+(-3.8)$$

4 step solution

Problem 13

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{8}{x}+\frac{7}{x}$$

4 step solution

Problem 13

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ -\left(\frac{1}{2}\right)^{3} $$

3 step solution

Problem 13

Reduce each fraction to lowest terms. $$\frac{24 x}{44 x}$$

3 step solution

Problem 14

Perform the indicated operations. $$(6.2)+(-2.4)$$

3 step solution

Problem 14

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{17}{y}+\frac{12}{y}$$

3 step solution

Problem 14

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ -\left(\frac{3}{2}\right)^{3} $$

3 step solution

Problem 14

Reduce each fraction to lowest terms. $$\frac{15 y}{25 y}$$

2 step solution

Problem 15

Perform the indicated operations. $$(-4.7)+1.4$$

4 step solution

Problem 15

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{5}{3 y}+\frac{1}{3 y}$$

4 step solution

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