Linear Review

Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.

• y = 2x + 6
• y = 6x + 2
• y = 2x - 6
• y = 6x - 2

Tags

CCSS.6.EE.C.9

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. 

• y = x(35 + 0.75)
• y = 35x + 0.75
• y = 0.75x + 35
• y = 0.75(x + 35)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

• y = 5 + 12x
• y = 12x
• y = 7x + 5
• y = 12x + 12

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

• y = 425x + 600

• y = 425 + 600x

• y = 400x + 625

• y = 400 + 625x

What is the y-intercept?

• 7
• 0
• 1
• 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Given: 
f(x) = 15x - 8
G(x) is f(x) decreased by 2, which equation represents this change to the y-intercept?

• g(x) = 15x - 10
• g(x) = 15x - 6
• g(x) = 13x - 8 
• g(x) = 13x - 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.B.3

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5
• y = 2.50x + 3
• y = 2.50x 
• y = 3x + 2.50

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.
 Write a linear model that shows how much money will be in the account after x months. 

• y=25000x-1500
• y=25000+1500
• y=1500x+25000
• y=-1500x+25000

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the slope?

• 5
• -5
• 1/5
• -1/5

What is the y intercept?

• 0
• 5
• 200
• 10