Chapter 8

Solve each inequality. Then graph the solution on a number line. $$x+3.75 \leq 5$$

Suppose you can rent a car from ABC Auto for either \(\$ 25\) a day plus \(\$ 0.45\) a mile or for \(\$ 40\) a day plus \(\$ 0.25\) a mile. What number of miles results in the same cost for one day?

Solve each inequality and check your solution. Then graph the solution on a number line. $$2 x+8>24$$

Solve each equation. Check your solution. $$3(2 g+4)=6(g+2)$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$18>-\frac{2}{3} g$$

Solve each inequality. Then graph the solution on a number line. $$7>z+\frac{2}{3}$$

Solve equation. Check your solution. \(2 x+3=x\)

Solve each inequality and check your solution. Then graph the solution on a number line. $$6 q+4 \leq 28$$

Solve each equation. Check your solution. $$4(f+3)+5=17+4 f$$

Solve each inequality. Check your solution. $$13 a \geq-26$$

SAVINGS Chris is saving money to buy a stereo. He has \(\$ 62.50\), but his goal is to save at least \(\$ 100 .\) What is the least amount Chris still needs to save to reach his goal?

Solve equation. Check your solution. \(n-14=3 n\)

Solve each inequality and check your solution. Then graph the solution on a number line. $$3 y-1 \leq 5$$

Solve each equation. Check your solution. $$2(d+6)=3 d-1$$

Solve each inequality. Check your solution. $$-15 \leq 5 b$$

Write an inequality for each sentence. The elevators in an office building have been approved for a maximum load of 3600 pounds.

Solve each inequality. Check your answer. $$p+7<9$$

Solve equation. Check your solution. \(8-2 c=2 c\)

Solve each inequality and check your solution. Then graph the solution on a number line. $$9 t-5 \leq-14$$

Solve each equation. Check your solution. $$6 n-18=4(n+2.1)$$

Solve each inequality. Check your solution. $$144<12 d$$

Write an inequality for each sentence. Kyle's earnings were no more than \(\$ 60\).

Solve each inequality. Check your answer. $$t+6>-3$$

Solve equation. Check your solution. \(q-2=-q+1\)

Solve each inequality and check your solution. Then graph the solution on a number line. $$3+4 c>-13$$

Solve each equation. Check your solution. $$3(a-3)=2(a+4)$$

Solve each inequality. Check your solution. $$15 \geq 3 t$$

Write an inequality for each sentence. The race time of 86 minutes was greater than the winner's time.

Solve each inequality. Check your answer. $$-13>9+b$$

Solve equation. Check your solution. \(13 y-18=-5 y+36\)

Solve each inequality and check your solution. Then graph the solution on a number line. $$9+2 p \leq 15$$

Solve each equation. Check your solution. $$3(s+22)=4(s+12)$$

Solve each inequality. Check your solution. $$\frac{p}{6}>5$$

Write an inequality for each sentence. After a withdrawal, a savings account is now less than \(\$ 500\).

Solve each inequality. Check your answer. $$16>-11+k$$

Solve equation. Check your solution. \(-s+4=7 s-3\)

Solve each inequality and check your solution. Then graph the solution on a number line. $$4-3 k \leq 19$$

Solve each equation. Check your solution. $$4(x-2)=3(1.5+x)$$

Use the table that shows the average amount of time students ages 14 to 18 spend on homework per week. $$\begin{array}{|l|c|}\hline \text { Group } & \text { Average Hours per Week } \\\\\hline \text { Male } & 5.4 \\\\\hline \text { Female } & 6.8 \\\\\hline\end{array}$$ Inali spends at least an hour more than the average time spent by boys on homework each week. Write an inequality for Inali's homework time.

Solve each inequality. Check your solution. $$7 \geq \frac{h}{14}$$

Solve each inequality. Check your answer. $$3 \geq-2+y$$

Solve equation. Check your solution. \(7 d-13=3 d+7\)

Solve each inequality and check your solution. Then graph the solution on a number line. $$16-4 n>20$$

Solve each equation. Check your solution. $$3(a-1)=4(a-1.5)$$

Use the table that shows the average amount of time students ages 14 to 18 spend on homework per week. $$\begin{array}{|l|c|}\hline \text { Group } & \text { Average Hours per Week } \\\\\hline \text { Male } & 5.4 \\\\\hline \text { Female } & 6.8 \\\\\hline\end{array}$$ Anna usually spends no more than the average time spent by girls on homework each week. Write an inequality to represent Anna's homework time.

Solve each inequality. Check your solution. $$3 m<33$$

Solve each inequality. Check your answer. $$25

Solve equation. Check your solution. \(2 f-6=7 f+24\)

Solve each inequality and check your solution. Then graph the solution on a number line. $$-3 b+4<-2$$

Solve each equation. Check your solution. $$2(3.5 n+6)=2.5 n-2$$