Chapter 1

Remove parentheses and simplify each expression. $$ \frac{1}{5}(9 y+2)+\frac{1}{10}(2 y-1) $$

Perform the indicated operation. \(\frac{2}{7}\left(-\frac{2}{11}\right)\)

Tell which set or sets each number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. $$ -\frac{1}{7} $$

Simplify each expression. \(3^{3}-8 \cdot 9\)

Evaluate each expression when \(x=1, y=3,\) and \(z=5 .\) \(3 y\)

Add. See Examples 1 through 12,18, and 19. $$ 6+(-4)+9 $$

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

Perform the indicated operation. \(\frac{-12}{-4}\)

Tell which set or sets each number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. $$ 265 $$

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

Simplify each expression. 2^{3}-6 \cdot 3$

Evaluate each expression when \(x=1, y=3,\) and \(z=5 .\) \(4 x\)

Add. See Examples 1 through 12,18, and 19. $$ 8+(-2)+7 $$

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

Perform the indicated operation. \(\frac{-45}{-9}\)

Tell which set or sets each number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. $$ 7941 $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -(9 r+5) $$

Simplify each expression. \(2-3(8-6)\)

Evaluate each expression when \(x=1, y=3,\) and \(z=5 .\) $$ \frac{z}{5 x} $$

Add. See Examples 1 through 12,18, and 19. $$ [-17+(-4)]+[-12+15] $$

Remove parentheses and simplify each expression. $$ 0.5(m+2)+0.4 m $$

Perform the indicated operation. \(\frac{30}{-2}\)

Tell which set or sets each number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. $$ \frac{2}{3} $$

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

Simplify each expression. \(4-6(7-3)\)

Evaluate each expression when \(x=1, y=3,\) and \(z=5 .\) $$ \frac{y}{2 z} $$

Add. See Examples 1 through 12,18, and 19. $$ [-2+(-7)]+[-11+22] $$

Remove parentheses and simplify each expression. $$ 0.2(k+8)-0.1 k $$

Perform the indicated operation. \(\frac{14}{-2}\)

Tell which set or sets each number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. $$ \sqrt{3} $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -(q-2+6 r) $$

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

Evaluate each expression when \(x=1, y=3,\) and \(z=5 .\) $$ 3 x-2 $$

Add. See Examples 1 through 12,18, and 19. $$ |9+(-12)|+|-16| $$

Remove parentheses and simplify each expression. $$ 10-3(2 x+3 y) $$

Perform the indicated operation. \((-5)^{3}\)

Determine whether each statement is true or false. Every rational number is also an integer.

Simplify each expression. \((2-3)+5^{2}\)

Evaluate each expression when \(x=1, y=3,\) and \(z=5 .\) $$ 6 y-8 $$

Remove parentheses and simplify each expression. $$ 14-11(5 m+3 n) $$

Perform the indicated operation. \((-2)^{5}\)

Determine whether each statement is true or false. Every natural number is positive.

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ \frac{1}{4}(4 x-2)-\frac{7}{2} $$

Simplify each expression. \(-2+[(8-11)-(-2-9)]\)

Evaluate each expression when \(x=1, y=3,\) and \(z=5 .\) $$ |2 x+3 y| $$

Add. See Examples 1 through 12,18, and 19. $$ -13+[5+(-3)+4] $$

Remove parentheses and simplify each expression. $$ 6(3 x-6)-2(x+1)-17 x $$

Perform the indicated operation. \((-0.2)^{3}\)

Determine whether each statement is true or false. 0 is a real number

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -\frac{1}{3}(3 x-9 y) $$