Building Equations

Which formula is this?

• Point slope

• Slope intercept

• Standard form

• None of the above

Which formula is this?

• Standard form

• Slope intercept

• point slope

• none of the above

Which equation matches the table?

• y = 3x + 9

• y = x + 9 

• y = x + 3

• y = 12x - 3

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

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

Which of the following situations could be descried by the equation y= -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

The Hot Summer Fair is coming to town! Admission to the fair costs $12.99 and each ride costs $1.75. You have at most $35 to spend at the fair including admission. Write an inequality to determine the maximum number of rides you can ride.

• 12.99+1.75x≤35

• 12.99+1.75x≥35

• 12.99x+1.75≤35

• 12.99x+1.75≥35

You need to save a minimum of $1200 to purchase your new laptop. If you already have saved $400 and make 11 per hour, h, at your job, which inequality could be use to solve to determine how many hours you need to work to save enough money.

• 11h + 1200 ≥ 400

• 11h + 400 < 1200

• 11h + 400 > 1200

• 11h + 400 < 1200

A local charity wants to raise at least $400 by Sunday afternoon. The charity raised $125 at a car wash on Friday and $85 at a car wash on Saturday. On Sunday, the charity plans to sell cakes for $12 each. Write an inequality to describe how many cakes, x, need to be sold on Sunday in order to meet the fundraising goal.

• 12x+210≥400

• 12+210≤400

• 12+210x≤400

• 12x+210≤400

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

• h = 2C + 15

• C = 15h + 2

• h = 15C + 2

• C = 2h + 15

Which equation matches the table?

• y = x + 5

• y = 5x

• y = x - 5

• x = y - 5