Chapter 1

Find each reciprocal. 1.5

Write each sentence as a mathematical statement. Negative seven is not equal to seven.

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 7(a+b) $$

Subtract. \(0-8.92\)

Simplify each expression. $$ \frac{6-4}{9-2} $$

Add. See Examples 1 through 12,18, and 19. $$ -\frac{3}{8}+\frac{5}{8} $$

Remove parentheses and simplify each expression. $$ 7(d-3)+10 $$

Divide. \(\frac{18}{-2}\)

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 9(x-6) $$

Subtract. \(0-(-4.21)\)

Simplify each expression. $$ \frac{8-5}{24-20} $$

Add. See Examples 1 through 12,18, and 19. $$ -\frac{5}{12}+\frac{7}{12} $$

Remove parentheses and simplify each expression. $$ 9(z+7)-15 $$

Divide. \(\frac{36}{-9}\)

Use integers to represent the values in each statement.Driskill Mountain, in Louisiana, has an altitude of 535 feet. New Orleans, Louisiana, lies 8 feet below sea level. (Source: U.S. Geological Survey)

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 11(y-4) $$

Translate each phrase to an expression and simplify. Subtract -5 from 8 .

Simplify each expression. $$ 2[5+2(8-3)] $$

Add. See Examples 1 through 12,18, and 19. $$ -\frac{7}{16}+\frac{1}{4} $$

Remove parentheses and simplify each expression. $$ -4(3 y-4)+12 y $$

Divide. \(-48 \div 12\)

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 2(3 x+5) $$

Translate each phrase to an expression and simplify. Subtract -2 from 3 .

Simplify each expression. $$ 3[4+3(6-4)] $$

Add. See Examples 1 through 12,18, and 19. $$ -\frac{5}{9}+\frac{1}{3} $$

Remove parentheses and simplify each expression. $$ -4(3 y-4)+12 y $$

Divide. \(-60 \div 5\)

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 5(7+8 y) $$

Translate each phrase to an expression and simplify. Find the difference between -6 and -1 .

Simplify each expression. $$ \frac{19-3 \cdot 5}{6-4} $$

Add. See Examples 1 through 12,18, and 19. $$ -\frac{7}{10}+\left(-\frac{3}{5}\right) $$

Remove parentheses and simplify each expression. $$ 3(2 x-5)-5(x-4) $$

Divide. \(\frac{0}{-4}\)

Use integers to represent the values in each statement.Gretchen Bertani deposited \$475 in her savings account. She later withdrew \$195.

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 7(4 x-3) $$

Translate each phrase to an expression and simplify. Find the difference between -17 and -1 .

Simplify each expression. $$ \frac{14-2 \cdot 3}{12-8} $$

Add. See Examples 1 through 12,18, and 19. $$ -\frac{5}{6}+\left(-\frac{2}{3}\right) $$

Remove parentheses and simplify each expression. $$ 2(6 x-1)-(x-7) $$

Divide. \(\frac{0}{-9}\)

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 3(8 x-1) $$

Translate each phrase to an expression and simplify. Subtract 8 from 7 .

Simplify each expression. $$ \frac{|6-2|+3}{8+2 \cdot 5} $$

Remove parentheses and simplify each expression. $$ -2(3 x-4)+7 x-6 $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 3(6+x) $$

Translate each phrase to an expression and simplify. Subtract 9 from -4

Simplify each expression. $$ \frac{15-|3-1|}{12-3 \cdot 2} $$

Add. See Examples 1 through 12,18, and 19. $$ |-6|+(-61) $$

Remove parentheses and simplify each expression. $$ 8 y-2-3(y+4) $$

Graph each set of numbers on the number line. $$ -3,0,1,-5 $$