Writing Algebraic Expressions

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which expression represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• 15x

• 15x+80

• x+15

• 80x+15

Which of the following situations could be descried by the expression -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.
• A plumber charges $25 for a house call and $120 per hour.
• A teacher has 120 students. Her third period has 25 students
• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an expression for the total cost of renting the boat for h hours.

• 2h - 15

• 15h - 2

• 2 + 15h

• 2h + 15

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15
• 2x + 5=15
• x + 2(5) = 15
• 2(x + 5) = 15

Each lunch box costs $12.50 plus a delivery fee of $30 per order.

Jen has $200. Which equation helps her find out how lunch boxes she can buy in one order?

• 12.5x + 30 = 200

• 12.5 + 30x = 200

• 12.5 = 30x +200

• (12.5+30)x =200

Lanny bought a box of cupcakes for $30.

She sells each cupcake for $5.
Write an expression for her profit after selling x cupcakes.

• (30 - 5)x

• 5x + 30

• 30 - 5x

• 5x - 30

What happens at the break even point?

• Business is loosing money.

• Income and cost are the same.

• Business is making profit.

Brian and Amy invest $2700 to start a hair cutting business. Each hair cut costs them $1.50 (supplies). They charge their customer $15 for each cut.

How many hair cuts until they breakeven?

• 200 hair cuts

• 22 hair cuts

• 2700 hair cuts

• 15

At a local concert hall, the owner charges $7 per ticket. The owner must pay his band $1200. Every customer receives a brochure that costs the owner $2 for each person.

How many people must attend for him to breakeven?

• 240 people

• 170 people

• 600 people

• 133 people