Exam 8: Solving Equations and Inequalities

Solve. -In West Arlington, taxis charge $\$ 4.50$ plus $50 \$$ per mile for an airport pickup. How far from the airport can Amy travel for $\$ 23.50$ ? (Hint: $50 \$=\$ 0.50$ )

Solve using the multiplication principle. - $\frac{4}{7}=\frac{5}{7} x$

Solve. - $9 x+5=4 x+30$

Solve the problem. -Every basketball season Bill competes in a free throw contest. This year Bill was successful at 0.6 of his free throws. If he succeeded at 18 free throws, how many free throws did he attempt?

Solve. - $\mathrm{V}=5 \mathrm{~s}^{3}$ for $\mathrm{s}^{3}$

Solve. - $\frac{1}{3} \mathrm{f}-3=1$

Solve the problem. Round to the nearest tenth of a percent. -What percent of 94 is 47 ?

Solve using the multiplication principle. - $41.5 t=-747$

Solve the problem. -Brand $X$ copier advertises that its copiers run $10 \%$ longer between service calls than its competitor. If Brand X copiers run 42,400 copies between service calls, how many copies would the competitor run (to the nearest copy)?

Solve using the multiplication principle. - $\frac{4}{5} x=36$

Solve. Clear decimals first. - $10.5 t+84=4.5 t+36$

Solve. - $-47=-6 x+7$

Solve the problem. -At the end of the day, a storekeeper had $\$ 1050$ in the cash register, counting both the sale of goods and the sales tax of $5 \%$ . Find the amount that is the tax. Round to the nearest dollar if necessary.

Solve using the multiplication principle. - $-4.2 m=-8.4$

Solve. - $3(2 z-5)=5(z+4)$

Solve. - $-6 b+2+4 b=-3 b+7$

Solve the problem. -On a biology test, a student got 25 questions correct but did not pass. On a second attempt, the student got 33 questions correct. What was the percent of increase?

Translate the sentence to an inequality. -Five times a number less twenty-seven must be more than fifty.

Solve the problem. -A salesperson has two job offers. Company A offers a weekly salary of $\$ 210$ plus commission of $14 \%$ of sales. Company B offers a weekly salary of $\$ 420$ plus commission of $7 \%$ of sales. What is the amount of sales above which Company A's offer is the better of the two?

Solve. - $4 x+3 x=28$