Exam 2: Linear Equations, Inequalities, and Applications

Which two of the following equations do not correctly state the relationship between distance, rate and time? (a) $\frac{\mathrm{d}}{\mathrm{t}}=\mathrm{r}$ (b) $\mathrm{dr}=\mathrm{t}$ (c) $\frac{\mathrm{r}}{\mathrm{t}}=\mathrm{d}$ (d) $\frac{\mathrm{d}}{\mathrm{r}}=\mathrm{t}$

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation. - $|\mathrm{h}-9|-4 \leq 1$

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

Solve the problem. -Find the measures of the supplementary angles.

Solve the equation. - $7(x+2)=(7 x+14)$

Solve the inequality. Give the solution set in both interval and graph forms. - $2<1-4 x \leq 8$

One student solved a problem involving money by using a denomination based on cents and not on dollars. For example, she multiplied the number of nickels by 5 cents and not by $\$ 0.05$ . Was she wrong?

Solve the problem. -A rectangular Persian carpet has a perimeter of 172 inches. The length of the carpet is $20 \mathrm{in}$ . more than the width. What are the dimensions of the carpet?

Solve the equation. - $|10-5 \mathrm{p}|=50$

Provide an appropriate response. -Determine which of the following is used to solve the inequality $|a x+b|<c$ , for $c>0$ .

If $k<0$ , what is the solution set of $|2 f-9|=k$

Solve the inequality and graph the solution set. - $|\mathrm{h}-2| \leq 3$

Solve the problem. -From a point on a river, two boats are driven in opposite directions, one at 9 miles per hour and the other at 14 miles per hour. In how many hours will they be 92 miles apart?

Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set. - $12 m+4=2(4 m-4)$

Solve the equation. - $|5 x|=25$

$(\mathrm{A} \cup \mathrm{B}) \cap \mathrm{C}=\mathrm{A} \cup(\mathrm{B} \cap \mathrm{C})$

Solve the equation. Then tell whether the equation is a conditional equation, an identity, or a contradiction. - $2 x-(4-x)+3 x+4=6 x+2$

Solve the percent problem. -After receiving a discount of $13.5 \%$ on its bulk order of typewriter ribbons, John's Office Supply pays $\$ 6920$ . What was the price of the order before the discount?

Solve the percent problem. -Midtown Antiques collects $6 \%$ sales tax on all sales. If total sales including tax are $\$ 1754.33$ , find the portion that is the tax. Round your answer to the nearest cent.

Solve the equation. - $3(y+8)=4(y-7)$