Solve the formula for L.

P = 2W + 2L

Solve the equation for y.

-5x + 20y = 0

10% of the students at a university attended a lecture. If 3000 students are enrolled at the university, about how many students attended the lecture?

Attendance this year at the homecoming football game is 133% of what it was last year. If last year’s homecoming football game attendance as 37,000, what is this year’s attendance? (Round to the nearest integer, if necessary)

Due to the lack of funding, the number of students enrolled at the City College went from 9,000 last year to 5,000 this year. Find the percent decrease in enrollment. (Round to the nearest tenth of a percent, if necessary)

If 6 times a number is added to -6, the result is equal to 12 times the number. Let x represent the number, write the equation, and find the number.

A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe’s phone bill was $66 under this promotional deal, how many minutes of phone call did he make? Round to the nearest integer.

A rectangular carpet has a perimeter of 186 inches. The length of the carpet is 63 inches more than the width. What are the dimensions of the carpet?

The width of a room is 7 feet, and the area of the room is 98 square feet. Find the room’s length.

One of the base angles of an isosceles triangle is 24^o. Find the measure of the other two angles. (an isosceles triangle has two equal base angles.)

Express the solution set of the inequality in interval notation

x ≥ -18

Solve the problem using linear inequalities.

Claire has received scores of 85, 88, 87, and 75 on her algebra tests. What is the minimum score she must receive on the fifth test to have an overall test score average of at least 83? (Hint: The average of a list of numbers is their sum divided by the number of numbers in the list.)

A certain car has a weight limit for all passengers and cargo of 1151 pounds. The four passengers in the car weight an average of 160 pounds. Use an inequality to find the maximum weight of the cargo that the car can handle.

A certain store has a fax machine available for use by its customers. The store charges $2.05 to send the first page and $0.60 for each subsequent page. Use an inequality to find the maximum number of pages that can be faxed for $10.45.

It takes 23 minutes to set up a candy making machine. Once the machine is set up, it produces 15 candies per minute. Use an inequality to find the number of candies that can be produced in two hours if the machine has not yet been set up.