Chapter 1

Simplify each expression. \(-5+[(4-15)-(-6)-8]\)

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

Add. See Examples 1 through 12,18, and 19. $$ -30+[1+(-6)+8] $$

Remove parentheses and simplify each expression. $$ 7(2 x+5)-4(x+2)-20 x $$

Perform the indicated operation. \((-0.3)^{3}\)

Determine whether each statement is true or false.\(\frac{1}{2}\) is an integer.

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

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

Solve. See Example 22. The lowest temperature ever recorded in Massachusetts was \(-35^{\circ} \mathrm{F}\). The highest recorded temperature in Massachusetts was \(142^{\circ}\) higher than the record low temperature. Find Massachusetts' highest recorded temperature. (Source: National Climatic Data Center)

Find the sum of -38 and 12 .

Remove parentheses and simplify each expression. $$ \frac{1}{3}(9 x-6)-(x-2) $$

Perform the indicated operation. \(-\frac{3}{4}\left(-\frac{8}{9}\right)\)

Determine whether each statement is true or false.Every negative number is also a rational number.

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

Simplify each expression. \(|-2|+6^{2}+(-3-8)\)

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

Find the sum of -44 and 16 .

Remove parentheses and simplify each expression. $$ \frac{1}{3}(9 x-6)-(x-2) $$

Perform the indicated operation. \(-\frac{5}{6}\left(-\frac{3}{10}\right)\)

Determine whether each statement is true or false.Every rational number is also a real number.

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ 10(4 s+6)-40 $$

Evaluate each expression when \(x=-5, y=4,\) and \(t=10\). \(x-y\)

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

Perform each indicated operation. Don't forget to simplify if possible. Add \(6 x+7\) to \(4 x-10\)

Perform the indicated operation. \(-\frac{5}{9}+\left(-\frac{3}{4}\right)\)

Determine whether each statement is true or false.Every real number is also a rational number.

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -9(4 x+8)+2 $$

Evaluate each expression when \(x=-5, y=4,\) and \(t=10\). \(y-x\)

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

Perform each indicated operation. Don't forget to simplify if possible. Add \(3 y-5\) to \(y+16\)

Perform the indicated operation. \(-\frac{1}{10} \div\left(-\frac{8}{11}\right)\)

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

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -11(5 x+3)+10 $$

Evaluate each expression when \(x=-5, y=4,\) and \(t=10\). \(\frac{9-x}{y+6}\)

Evaluate each expression when \(x=12, y=8,\) and \(z=4\). $$ \frac{x}{z}+3 y $$

Find each additive inverse or opposite. See Examples 13 through 17. $$ -2 $$

Perform each indicated operation. Don't forget to simplify if possible. Subtract \(7 x+1\) from \(3 x-8\)

Perform the indicated operation. \(-2.1(-0.4)\)

Find each absolute value. See Example 12. $$ |8.9| $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -0.4(4 x+5)-0.5 $$

Evaluate each expression when \(x=-5, y=4,\) and \(t=10\). \(\frac{15-x}{y+2}\)

Evaluate each expression when \(x=12, y=8,\) and \(z=4\). $$ \frac{y}{z}+8 x $$

Find each additive inverse or opposite. See Examples 13 through 17. $$ -8 $$

Perform each indicated operation. Don't forget to simplify if possible. Subtract \(4 x-7\) from \(12+x\)

Perform the indicated operation. \(-1.3(-0.6)\)

Find each absolute value. $$ |11.2| $$

Use the distributive property to write each expression without parentheses. Then simplify the result, if possible. See Examples 7 through 12. $$ -0.6(2 x+1)-0.1 $$

Evaluate each expression when \(x=-5, y=4,\) and \(t=10\). \(|x|+2 t-8 y\)

Evaluate each expression when \(x=12, y=8,\) and \(z=4\). $$ x^{2}-3 y+x $$

Find each additive inverse or opposite. See Examples 13 through 17. $$ 0 $$