Exam 2: Equations, Inequalities, and Problem Solving

Find the area of the circle to the nearest tenth, if $\pi = 3.14$ and a = 3 in. __________ in $2$

A salesperson for a medical supplies company is paid a commission of 6% for orders under $9,000. For orders exceeding $9,000, she receives an additional 1% in commission on the total amount. What is her commission on a sale of $12,300? $__________

Use the division or the multiplication property of equality to solve $\frac { v } { 6 } = 4$ . What is the result?

Complete the table by finding the simple interest earned. Principal Rate Time Interest earned $ 13000 8 % 3 yrs. ?

Use the division or the multiplication property of equality to solve $3 x = 195$ . What is the result?

Find x .

At lunchtime, a man called his wife from his office to tell her that they needed to switch vehicles so that he could use the family van to pick up some building materials after work. The wife then left their home, traveling towards his office in their van at 32 mph. At the same time, the husband left his office in his car, traveling towards their home at 47 mph. If his office is 47.4 miles from their home, how long will it take them to meet so that they can switch vehicles?

A group of junior high students will be touring Washington, D.C. Their chaperons will have the $1,810 cost of the tour reduced by $15.50 for each student they personally supervise. How many students will a chaperon have to supervise so that his or her cost to take the tour will be $1,500?

Solve the equation. $9 y - 30 + 15 y - 9 y + 45 = 120$

Solve the equation. 45 = -2 - 13 y

Use the division or the multiplication property of equality to solve $4 = \frac { v } { 8 }$ . What is the result? v = __________

Solve the equation. $\frac { 9 n } { 10 } - \frac { n } { 12 } = \frac { - 392 } { 60 }$

Graph the solution set. $- x - 9 > 3$

Use a property of equality to solve the equation. Then check the result. $f + 3.5 = 1.2$ f = __________

Solve the equation. 6 x + 3 = 33

Use an algebraic approach to solve the problem. Find three consecutive integers whose sum is 33.

Find the number of gallons of sulfuric acid in 50 gallons of solution in a tank, if the percent of sulfuric acid is 50%.

The host of a TV infomercial says that the suggested retail price of a rotisserie grill is $40.00 and that it is now offered "for just 4 easy payments of only $6.30." What is the discount rate? __________ %

Solve the inequality. Use interval notation to describe the solution. $0 \leq - 7 x + 7 \leq 14$