Chapter 1

Perform each indicated operation. \(|5-3(9)|-7(-4)\)

First simplify both sides of each inequality. Then determine whether the given statement is true or false. See Examples 2-4. $$ 10 \leq 13 \cdot 2-15 \cdot 1 $$

Use the distributive property to rewrite each expression. $$ -\frac{1}{4}(8 x+3) $$

Determine whether each of the following is an expression or an equation. \(3 x+2(x-4)\)

Find each difference. $$ -6.4-3.5 $$

Determine whether each statement is true or false. \(-5<-2\)

Simplify each expression. \(100[0.05(x+3)]\)

Perform each indicated operation. \(\frac{-5(-6)}{9-(-1)}\)

Use the distributive property to rewrite each expression. $$ -\frac{1}{3}(9 x+5) $$

Find each difference. $$ -4.4-8.6 $$

Simplify each expression. \(100[0.06(x+5)]\)

Perform each indicated operation. \(\frac{-12(-5)}{7-(-5)}\)

Use the distributive property to rewrite each expression. $$ -\frac{1}{3}(9 x-4) $$

\(7 t+2(t+1)=4\)

Perform each indicated operation. $$ (4-6)+12 $$

Determine whether each statement is true or false. \(-4 \leq-(-5)\)

Simplify each expression. \(10[0.3(5-3 x)]\)

Perform each indicated operation. \(\frac{-21(3)}{-3-6}\)

Use the distributive property to rewrite each expression. $$ -\frac{1}{5}(5 x-7) $$

\(9 r+3(r-4)=2\)

Perform each indicated operation. $$ (3-7)+4 $$

Simplify each expression. \(10[0.5(8-2 z)]\)

Perform each indicated operation. \(\frac{-40(3)}{-2-3}\)

Use the distributive property to rewrite each expression. $$ 2(6 x+5) $$

Perform each indicated operation. $$ (8-1)-12 $$

Determine whether each statement is true or false. \(|-6|<|-9|\)

Use the distributive property to rewrite each expression. $$ 3(3 x+4) $$

Perform each indicated operation. $$ (9-3)-15 $$

Simplify each expression. \(-3(2 t+4)+8(2 t-4)\)

Determine whether each statement is true or false. \(|-12|<|-20|\)

Use the distributive property to rewrite each expression. $$ -3(2 x-5) $$

One example of a mathematical model is an equation that describes the relationship between two quantities. For example, the life expectancy at birth of Americans can be approximated by the equation $$ y=0.157 x-237 $$ where \(x\) is a year between 1990 and 2015 and \(y\) is age in years. (Data from Centers for Disease Control and Prevention.) Use this model to approximate life expectancy (to the nearest year) in each of the following years. 1990

Perform each indicated operation. $$ 6-(-8+3) $$

Simplify each expression. \(2(5 r+3)-3(2 r-3)\)

Determine whether each statement is true or false. \(-|8|>|-9|\)

Perform each indicated operation. \(\frac{-6-|-9+5|}{2-(-3)}\)

Use the distributive property to rewrite each expression. $$ -4(3 x-2) $$

One example of a mathematical model is an equation that describes the relationship between two quantities. For example, the life expectancy at birth of Americans can be approximated by the equation $$ y=0.157 x-237 $$ where \(x\) is a year between 1990 and 2015 and \(y\) is age in years. (Data from Centers for Disease Control and Prevention.) Use this model to approximate life expectancy (to the nearest year) in each of the following years. 1995

Perform each indicated operation. $$ 8-(-9+5) $$

Simplify each expression. \(3(2 y-5)-4(5 y-7)\)

Determine whether each statement is true or false. \(-|12|>|-15|\)

Perform each indicated operation. \(\frac{-8-|-3+2|}{-3-(-6)}\)

Use the distributive property to rewrite each expression. $$ -0.6(8 x+1.2) $$

Perform each indicated operation. $$ 2+(-4-8) $$

Simplify each expression. \(8(2 k-1)-(4 k-3)\)

Perform each indicated operation. \(\frac{3^{2}-4^{2}}{7(-8+9)}\)

Determine whether each statement is true or false. \(-|-5| \geq-|-9|\)

Use the distributive property to rewrite each expression. $$ -5.2(4 x+2.3) $$

Perform each indicated operation. $$ 6+(-9-2) $$

Perform each indicated operation. \(\frac{5^{2}-7^{2}}{2(3+3)}\)