Chapter 1

Solve each inequality. Graph the solution set on a number line. $$ 3 < d+5 < 8 $$

Solve each inequality. Then graph the solution set on a number line. \(a+2<3.5\)

Write an algebraic expression to represent each verbal expression. five increased by four times a number

Name the sets of numbers to which each number belongs. $$ -4 $$

Evaluate each expression if \(a=-4\) and \(b=1.5\). \(|a+12|\)

Evaluate each expression if \(x=4, y=-2,\) and \(z=3.5\) \(z-x+y\)

Solve each inequality. Graph the solution set on a number line. $$ -4 \leq 3 x-1 < 14 $$

Solve each inequality. Then graph the solution set on a number line. \(11-c \leq 8\)

Name the sets of numbers to which each number belongs. $$ 45 $$

Write an algebraic expression to represent each verbal expression. twice a number decreased by the cube of the same number

Evaluate each expression if \(a=-4\) and \(b=1.5\). \(|-6 b|\)

Evaluate each expression if \(x=4, y=-2,\) and \(z=3.5\) \(x+(y-1)^{3}\)

Solve each inequality. Graph the solution set on a number line. $$ y-3 > 1 \text { or } y+2 < 1 $$

Solve each inequality. Then graph the solution set on a number line. \(5 \geq 3 x\)

Write a verbal expression to represent each equation. $$ 9 n-3=6 $$

Evaluate each expression if \(a=-4\) and \(b=1.5\). \(-|a+21|+6.2\)

Evaluate each expression if \(x=4, y=-2,\) and \(z=3.5\) \(x+[3(y+z)-y]\)

Solve each inequality. Graph the solution set on a number line. $$ p+6 < 8 \text { or } p-3 > 1 $$

Solve each inequality. Then graph the solution set on a number line. \(-0.6 p<-9\)

Name the property illustrated by each question. $$ \frac{2}{3} \cdot \frac{3}{2}=1 $$

Write a verbal expression to represent each equation. $$ 5+3 x^{2}=2 x $$

Use the following information. Most meat thermometers are accurate to within plus or minus \(2^{\circ} \mathrm{F}\). If a meat thermometer reads \(160^{\circ} \mathrm{F}\) , write an equation to determine the least and greatest possible temperatures of the meat.

Evaluate each expression if \(x=4, y=-2,\) and \(z=3.5\) \(\frac{x^{2}-y}{z+2.5}\)

Solve each inequality. Graph the solution set on a number line. $$ |a| \geq 5 $$

Solve each inequality. Then graph the solution set on a number line. \(2 w+19<5\)

Name the property illustrated by each question. $$ (a+4)+2=a+(4+2) $$

Evaluate each expression if \(x=4, y=-2,\) and \(z=3.5\) \(\frac{x+2 y^{2}}{x-z}\)

Solve each inequality. Graph the solution set on a number line. $$ |w| \geq-2 $$

Solve each inequality. Then graph the solution set on a number line. \(4 y+7>31\)

Name the property illustrated by each question. $$ 4 x+0=4 x $$

Name the property illustrated by each statement. If \(4 c=15,\) then \(4 c+2=15+2\)

Use the following information. Most meat thermometers are accurate to within plus or minus \(2^{\circ} \mathrm{F}\). Ham needs to reach an internal temperature of \(160^{\circ} \mathrm{F}\) to be fully cooked. To what temperature reading should you cook a ham to ensure that the minimum temperature is reached? Explain.

Evaluate each expression if \(x=4, y=-2,\) and \(z=3.5\) \(\frac{y^{3}+2 x z}{x^{2}-z}\)

Solve each inequality. Graph the solution set on a number line. $$ |h| < 3 $$

Solve each inequality. Then graph the solution set on a number line. \(n \leq \frac{n-4}{5}\)

Identify the additive inverse and multiplicative inverse for each number. $$ -8 $$

Solve each equation. Check your solution. $$ y+14=-7 $$

Solve each equation. Check your solutions. \(|x+4|=17\)

Use the following information. Simple interest is calculated using the formula \(I=p r t,\) where \(p\) represents the principal in dollars, \(r\) represents the annual interest rate, and \(t\) represents the time in years. Find the simple interest I given each set of values. \(p=\$ 1800, r=6 \%, t=4\) years

Solve each inequality. Then graph the solution set on a number line. \(\frac{3 z+6}{11}< z\)

Identify the additive inverse and multiplicative inverse for each number. $$ \frac{1}{3} $$

Solve each equation. Check your solution. $$ 3 x=42 $$

Solve each equation. Check your solutions. \(|b+15|=3\)

Use the following information. Simple interest is calculated using the formula \(I=p r t,\) where \(p\) represents the principal in dollars, \(r\) represents the annual interest rate, and \(t\) represents the time in years. Find the simple interest I given each set of values. \(p=\$ 31,000, r=2 \frac{1}{2} \%, t=18\) months

Solve each inequality. Graph the solution set on a number line. $$ |4 k-8| < 20 $$

The final grade for a class is calculated by taking 75% of the average test score and adding 25% of the score on the final exam. If all scores are out of 100 and a student has a 76 test average, what score does the student need on the final exam to have a final grade of at least 80?

Identify the additive inverse and multiplicative inverse for each number. $$ 1.5 $$

Solve each equation. Check your solution. $$ 16=-4 b $$

Solve each equation. Check your solutions. \(20=|a-9|\)

Evaluate each expression if \(w=6, x=0.4, y=\frac{1}{2},\) and \(z=-3\). \(w+x+z\)