Exam 2: Linear Equations, Inequalities, and Applications

Solve the inequality. Give the solution set in both interval and graph forms. - $9<2 y+3 \leq 17$

Graph the union or intersection of the two sets, as requested. -Intersection

If one step in the solution of an equation is $57=-3$ , what is the final solution of the equation?

Solve the problem. -Find the corresponding Celsius temperature for a temperature of $250^{\circ} \mathrm{F}$ . Round to the nearest tenth, if necessary.

Solve the compound or absolute value inequality. - $|-4 x-6|+5<10$

Solve the equation for $y$ . - $-4 x+7 y=8$

Solve the equation. - $\left|7-\frac{1}{3} x\right|=9$

Solve the percent problem. -Stevie bought a stereo for $\$ 260$ and put it on sale at his store at a $50 \%$ markup rate. What was the retail price of the stereo?

Use the variable $x$ for the unknown, and write an equation representing the verbal sentence. Then solve the problem. -When 3 times a number is subtracted from 7 times the number, the result is 44 .

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - $-6(8 x+8)+2(2 x+10)$

Solve the problem. -A printer priced at $\$ 382$ is sold for $\$ 307$ . What was the percent of price reduction? Round to the nearest tenth of a percent, if necessary.

Solve the inequality. Give the solution set in both interval and graph forms. - $11<4 a+3 \leq 27$

Solve the problem. -Tom Quig traveled 230 miles east of St. Louis. For most of the trip he averaged $60 \mathrm{mph}$ , but for one period of time he was slowed to $10 \mathrm{mph}$ due to a major accident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed?

Solve the problem. -Pizzicato Pizza, Inc. finds that the cost to make $x$ pizzas (with one topping) is $C=5 x+4910$ , while the revenue produced from them is $\mathrm{R}=10 \mathrm{x}$ ( $\mathrm{C}$ and $\mathrm{R}$ are in dollars). What is the smallest whole number of pizzas, $x$ , that must be sold for the company to show a profit?

Solve the inequality. Give the solution set in both interval and graph forms. - $3 \leq \frac{3 x-1}{2} \leq 12$

Find all values of $s$ that make this statement true: $4(2 s-5)=8 s-20$ .

Solve the compound or absolute value inequality. - $|6 x-4|<9$

Solve the equation for the specified variable. Use the distributive property to factor as necessary. - $w=\frac{7 y-x}{y}$ for $y$

Express the set in the simplest interval form. - $(-\infty, 7] \cup(-\infty,-2)$

Solve the problem involving consecutive integers. -Two pages that face each other in a book have 449 as the sum of their page numbers. What is the number of the page that comes first?