Chapter 2

Elementary Algebra · 414 exercises

Problem 15

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

4 step solution

Problem 15

Reduce each fraction to lowest terms. $$\frac{9 x}{21 y}$$

3 step solution

Problem 16

Perform the indicated operations. $$(-14.1)+9.5$$

5 step solution

Problem 16

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{3}{8 x}+\frac{1}{8 x}$$

5 step solution

Problem 16

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

3 step solution

Problem 16

Reduce each fraction to lowest terms. $$\frac{4 y}{30 x}$$

3 step solution

Problem 17

Perform the indicated operations. $$-3.8+11.3$$

4 step solution

Problem 17

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

4 step solution

Problem 17

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ (0.3)^{3} $$

4 step solution

Problem 17

Reduce each fraction to lowest terms. $$\frac{14 x y}{35 y}$$

4 step solution

Problem 18

Perform the indicated operations. $$-2.5+14.8$$

4 step solution

Problem 18

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{1}{6}+\frac{1}{8}$$

4 step solution

Problem 18

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ (0.2)^{4} $$

4 step solution

Problem 18

Reduce each fraction to lowest terms. $$\frac{55 x y}{77 x}$$

3 step solution

Problem 19

Perform the indicated operations. $$6.6-(-1.2)$$

4 step solution

Problem 19

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{15}{16}-\frac{3}{8}$$

5 step solution

Problem 19

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ -(1.2)^{2} $$

4 step solution

Problem 19

Reduce each fraction to lowest terms. $$\frac{-20 a b}{52 b c}$$

4 step solution

Problem 20

Perform the indicated operations. $$18.3-(-7.4)$$

3 step solution

Problem 20

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{13}{12}-\frac{1}{6}$$

4 step solution

Problem 20

For Problems \(1-20\), find the value of each numerical expression. For example, \(2^{4}=2 \cdot 2 \cdot 2 \cdot 2=16\). $$ -(1.1)^{2} $$

4 step solution

Problem 20

Reduce each fraction to lowest terms. $$\frac{-23 a c}{41 c}$$

4 step solution

Problem 21

Perform the indicated operations. $$-11.5-(-10.6)$$

4 step solution

Problem 21

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{7}{10}+\frac{8}{15}$$

4 step solution

Problem 21

For Problems \(21-40\), simplify each numerical expression. $$ 3^{2}+2^{3}-4^{3} $$

3 step solution

Problem 21

Reduce each fraction to lowest terms. $$\frac{-56 y z}{-49 x y}$$

5 step solution

Problem 22

Perform the indicated operations. $$-14.6-(-8.3)$$

4 step solution

Problem 22

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{7}{12}+\frac{5}{8}$$

4 step solution

Problem 22

The difference " \(x\) subtract \(y\) "

3 step solution

Problem 22

For Problems \(21-40\), simplify each numerical expression. $$ 2^{4}-3^{3}+5^{2} $$

4 step solution

Problem 22

Reduce each fraction to lowest terms. $$\frac{-21 x y}{-14 a b}$$

4 step solution

Problem 23

Perform the indicated operations. $$-17.2-(-9.4)$$

3 step solution

Problem 23

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{11}{24}+\frac{5}{32}$$

4 step solution

Problem 23

For Problems \(21-40\), simplify each numerical expression. $$ (-2)^{3}-2^{4}-3^{2} $$

4 step solution

Problem 23

Reduce each fraction to lowest terms. $$\frac{65 a b c}{91 a c}$$

5 step solution

Problem 24

Perform the indicated operations. $$-21.4-(-14.2)$$

3 step solution

Problem 24

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{5}{18}+\frac{8}{27}$$

4 step solution

Problem 24

For Problems \(21-40\), simplify each numerical expression. $$ (-3)^{3}-3^{2}-6^{2} $$

4 step solution

Problem 24

Reduce each fraction to lowest terms. $$\frac{68 x y z}{85 y z}$$

5 step solution

Problem 25

Perform the indicated operations. $$(0.4)(2.9)$$

4 step solution

Problem 25

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{5}{18}-\frac{13}{24}$$

5 step solution

Problem 25

For Problems \(21-40\), simplify each numerical expression. $$ 5(2)^{2}-4(2)-1 $$

3 step solution

Problem 25

Multiply or divide as indicated, and express answers in reduced form. $$\frac{3}{4} \cdot \frac{5}{7}$$

5 step solution

Problem 26

Perform the indicated operations. $$(0.3)(3.6)$$

5 step solution

Problem 26

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{1}{24}-\frac{7}{36}$$

4 step solution

Problem 26

For Problems \(21-40\), simplify each numerical expression. $$ 7(-2)^{2}-6(-2)-8 $$

5 step solution

Problem 26

Multiply or divide as indicated, and express answers in reduced form. $$\frac{4}{5} \cdot \frac{3}{11}$$

4 step solution

Problem 27

Perform the indicated operations. $$(-0.8)(0.34)$$

5 step solution

Problem 27

Add or subtract as indicated, and express your answers in lowest terms. (Objective 1) $$\frac{5}{8}-\frac{2}{3}$$

5 step solution

Problem 27

The quantity, \(x\) minus \(y\), divided by four

4 step solution

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