Exam 2: Linear Equations, Inequalities, and Applications

Solve the problem. -Raymond plans on playing 5 rounds of golf while on vacation. He wants his average to be 90 or less. His scores for the first 4 rounds were $85,93,88$ , and 89 . What does he need to score on the last round to meet his goal?

Solve the problem. -What amount of money is found in a coin purse containing 21 dimes and 15 quarters?

Write an inequality statement involving the letter x that describes the given graph or interval notation. -

Answer the question or solve the problem. -If $x>9$ then $6 x>54$ .

Solve the equation. - $|7s - 4|=|s+8|$

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. - $|y+3|-4=12$

Solve the problem. -A bank teller has some five-dollar bills and some twenty-dollar bills. The teller has 10 more of the twenties. The total value of the money is $\$ 825$ . Find the number of five-dollar bills that the teller has.

Solve the inequality and graph the solution set. - $|g+9|<5$

Solve the problem. -Find the corresponding Fahrenheit temperature for a temperature of $51^{\circ} \mathrm{C}$ . Round to the nearest tenth, if necessary.

For the compound inequality, decide whether intersection or union should be used. Then give the solution set in both interval and graph forms. - $x \leq-3$ and $x<2$

Solve the inequality. Give the solution set in both interval and graph forms. - $1-5(x+7) \leq-14-7(x+5)+7 x$

Solve the problem. -The formula $\mathrm{A}=\frac{2400 \mathrm{f}}{\mathrm{b}(\mathrm{p}+1)}$ gives the approximate annual interest rate for a consumer loan paid off with monthly payments, where $f$ is the finance charge on the loan, $p$ is the number of payments, and $b$ is the original amount of the loan. Find the approximate annual interest rate for an automobile loan to be repaid in 24 monthly installments if the finance charge on the loan is $\$ 557$ and the original loan balance is $\$ 3590$ . (Round your answer to two decimal places, if necessary.)

Solve the problem. -Jay drove $256 \mathrm{~km}$ at an average rate of $64 \mathrm{~km} / \mathrm{hr}$ . How long did the trip take?

Solve the equation or inequality. - $|4 \mathrm{f}-6|=-8$

For the compound inequality, give the solution set in both interval and graph forms. - $x \geq 2$ and $x \geq-3$

Solve the equation. - $|\mathrm{t}-9|=0$

Solve the equation. - $|5s - 6|=|s - 5|$

Solve the equation. - $|3s - 7|=|\mathrm{s}-1|$

For the compound inequality, decide whether intersection or union should be used. Then give the solution set in both interval and graph forms. - $2 x+2 \leq-6$ or $2 x \geq-4$

Solve the problem. -Correct Computers, Inc. finds that the cost to make $x$ laptop computers is $C=1526 x+162,721$ , while the revenue produced from them is $\mathrm{R}=3002 x$ ( $\mathrm{C}$ and $\mathrm{R}$ are in dollars). What is the smallest whole number of computers, $x$ , that must be sold for the company to show a profit?