Chapter 1

Perform each indicated operation. Don't forget to simplify if possible. Subtract \(5 m-6\) from \(m-9\)

Perform the indicated operation. \(\frac{-48}{1.2}\)

Find each absolute value. $$ |-20| $$

Use the distributive property to write each sum as a product. See Examples 13 and 14. $$ 4 \cdot 1+4 \cdot y $$

Evaluate each expression when \(x=-5, y=4,\) and \(t=10\). \(|y|+3 x-2 t\)

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

Find each additive inverse or opposite. See Examples 13 through 17. $$ -\frac{1}{4} $$

Perform each indicated operation. Don't forget to simplify if possible. Subtract \(m-3\) from \(2 m-6\)

Perform the indicated operation. \(\frac{-86}{2.5}\)

Find each absolute value. $$ |-17| $$

Use the distributive property to write each sum as a product. See Examples 13 and 14. $$ 14 \cdot z+14 \cdot 5 $$

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

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

Write each phrase as an algebraic expression and simplify if possible. Let \(x\) represent the unknown number. Twice a number, decreased by four

Perform the indicated operation. \((-3)^{4}\)

Find each absolute value. $$ \left|\frac{9}{2}\right| $$

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

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

Write each phrase as an algebraic expression and simplify if possible. Let \(x\) represent the unknown number. The difference of a number and two, divided by five

Perform the indicated operation. \(-3^{4}\)

Find each absolute value. $$ \left|\frac{10}{7}\right| $$

Use the distributive property to write each sum as a product. See Examples 13 and 14. $$ 9 a+9 b $$

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

Decide whether the given number is a solution of the given equation. $$ 3 x-6=9 ; 5 $$

Write each phrase as an algebraic expression and simplify if possible. Let \(x\) represent the unknown number. Three-fourths of a number, increased by twelve

Perform the indicated operation. \(-1^{7}\)

Find each absolute value. $$ \left|-\frac{12}{13}\right| $$

Use the distributive property to write each sum as a product. See Examples 13 and 14. $$ (-1) \cdot 5+(-1) \cdot x $$

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

Decide whether the given number is a solution of the given equation. $$ 2 x+7=3 x ; 6 $$

Simplify each of the following. See Example 17. $$ -|-5| $$

Write each phrase as an algebraic expression and simplify if possible. Let \(x\) represent the unknown number. Eight more than triple a number

Perform the indicated operation. \((-1)^{7}\)

Find each absolute value. $$ \left|-\frac{1}{15}\right| $$

Use the distributive property to write each sum as a product. See Examples 13 and 14. $$ (-3) a+(-3) y $$

Decide whether the given number is a solution of the given equation. \(x-9=5 ;-4\)

Write each phrase as an algebraic expression and simplify if possible. Let \(x\) represent the unknown number. The sum of 5 times a number and \(-2,\) added to 7 times the number

Multiply -11 by 11 .

Insert \(<,>,\) or \(=\) in the appropriate space to make each statement true. See Examples 12 and \(13 .\) $$ |-5| \quad-4 $$

Use the distributive property to write each sum as a product. See Examples 13 and 14. $$ 30 a+30 b $$

Decide whether the given number is a solution of the given equation. \(x-10=-7 ; 3\)

Simplify each of the following. See Example 17. $$ -(-14) $$

Write each phrase as an algebraic expression and simplify if possible. Let \(x\) represent the unknown number. The sum of 3 times a number and 10 , subtracted Irom 9 times the number

Multiply -12 by \(12 .\)

Insert \(<,>,\) or \(=\) in the appropriate space to make each statement true. $$ |-12| \quad|0| $$

Use the distributive property to write each sum as a product. See Examples 13 and 14. $$ 25 x+25 y $$

Decide whether the given number is a solution of the given equation. \(-x+6=-x-1 ;-2\)

Simplify each of the following. See Example 17. $$ -(-7.9) $$

Write each phrase as an algebraic expression and simplify if possible. Let \(x\) represent the unknown number. Eight times the sum of a number and six

Find the quotient of \(-\frac{4}{9}\) and \(\frac{4}{9}\) -