Chapter 1

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

Translate each phrase to an expression and simplify. Decrease -8 by 15 .

Simplify each expression. $$ \frac{3+3(5+3)}{3^{2}+1} $$

Add. See Examples 1 through 12,18, and 19. $$ -15+9+(-2) $$

Remove parentheses and simplify each expression. $$ 5 k-(3 k-10) $$

Divide. \(\frac{6}{7} \div\left(-\frac{1}{3}\right)\)

Graph each set of numbers on the number line. $$ -2,4, \frac{1}{3},-\frac{1}{4} $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -2(y-z) $$

Translate each phrase to an expression and simplify. Decrease 11 by -14 .

Simplify each expression. $$ \frac{3+6(8-5)}{4^{2}+2} $$

Remove parentheses and simplify each expression. $$ -11 c-(4-2 c) $$

Divide. \(\frac{4}{5} \div\left(-\frac{1}{2}\right)\)

Graph each set of numbers on the number line. $$ -5,3,-\frac{1}{3}, \frac{7}{8} $$

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

Simplify each expression. \(-10-(-8)+(-4)-20\)

Simplify each expression. $$ \frac{6+|8-2|+3^{2}}{18-3} $$

Add. See Examples 1 through 12,18, and 19. $$ -21+(-16)+(-22) $$

Remove parentheses and simplify each expression. $$ (3 x+4)-(6 x-1) $$

Divide. \(-3.2 \div-0.02\)

Graph each set of numbers on the number line. $$ -4.5, \frac{7}{4}, 3.25,-\frac{3}{2} $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -\frac{1}{3}(3 y+5) $$

Simplify each expression. \(-16-(-3)+(-11)-14\)

Simplify each expression. $$ \frac{16+|13-5|+4^{2}}{17-5} $$

Add. See Examples 1 through 12,18, and 19. $$ -18+(-6)+(-40) $$

Remove parentheses and simplify each expression. $$ (8-5 y)-(4+3 y) $$

Divide. \(-4.9 \div-0.07\)

Graph each set of numbers on the number line. $$ 4.5,-\frac{9}{4}, 1.75,-\frac{7}{2} $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -\frac{1}{2}(2 r+11) $$

Simplify each expression. \(5-9+(-4)-8-8\)

Simplify each expression. $$ 2+3[10(4 \cdot 5-16)-30] $$

Add. See Examples 1 through 12,18, and 19. $$ -23+16+(-2) $$

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

Perform the indicated operation. (-8)(-8)

Tell which set or sets each number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. See Example \(11 .\) $$ 0 $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 5(x+4 m+2) $$

Simplify each expression. \(7-12+(-5)-2+(-2)\)

Simplify each expression. $$ 3+4[8(5 \cdot 5-20)-41] $$

Remove parentheses and simplify each expression. $$ 4(2 x-3)-(x+1) $$

Perform the indicated operation. (-7)(-7)

Tell which set or sets each number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. $$ \frac{1}{4} $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 8(3 y+z-6) $$

Simplify each expression. \(-6-(2-11)\)

Simplify each expression. $$ \left(\frac{2}{3}\right)^{3}+\frac{1}{9}+\frac{1}{3} \cdot \frac{4}{3} $$

Add. See Examples 1 through 12,18, and 19. $$ |5+(-10)| $$

Remove parentheses and simplify each expression. $$ \frac{1}{3}(7 y-1)+\frac{1}{6}(4 y+7) $$

Perform the indicated operation. \(\frac{2}{3}\left(-\frac{4}{9}\right)\)

Tell which set or sets each number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. $$ -7 $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -4(1-2 m+n)+4 $$

Simplify each expression. \(-9-(3-8)\)

Simplify each expression. $$ \left(\frac{3}{8}\right)^{2}+\frac{1}{4}+\frac{1}{8} \cdot \frac{3}{2} $$