Writing Equations

Is the table linear or nonlinear?

• Linear

• Nonlinear

Bonnie pays a monthly fee of $80 at the health club and an additional $9 every time she attends a yoga class. Which expression below shows her total cost T if she attends y yoga classes this month?

• T = 80 + 9y

• T = 80y + 9

• T = 80 + 9 + y

• T = (80+9)y

Yvette has a home-based business putting on children's parties. She charges $55 to design the party and then $4 per child. Write an equation that relates the total cost of the party, C, to the number of children n.

• C = 4 + 55n

• C = 4 - 55n

• C = 4n - 55

• C = 55 + 4n

The height, h, of an object decreases by 7 feet every second. If the object is initially set at 100 feet, which equation represents its height after s seconds?

• h = 7 - 100s

• h = 100s - 7

• h = 100 - 7s

• h = 100 + 7s

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 

• 150x + 24 = 180 + 20x
• 150 + 24x = 180 + 20x
• 180 - 150 = 24 x + 20x
• 150 - 24x = 180 - 20x

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equation could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

Billy's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. How many hours of labor did the mechanic work on the car if her total bill was $260?

• 3 hours
• 12 hours
• 2.5 hours
• 5 hours

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

• y = 48x + 5
• y = -5 + 48x
• y = -5x - 48
• y = 48 - 5x

Paul the plumber charges $25 for a service call.  He then charges $100 an hour.  Write a linear equation to model this situation.

• y = 100x
• y = 25x
• y = 25x + 100
• y = 100x + 25

Based on the table, write the equation in slope intercept form.

• y= 5x+5

• y=1/5x+5

• y=15x+5

• y=10x+5