Solving Linear Relations

After paying $5.12 for a salad, Kamauri has $27.10. How much money did he have before buying the salad?

• n + $5.12 = $27.10

• n - $5.12 = $27.10

• n - $5.12 = -$27.10

• $5.12 - n = $27.10

Tags

CCSS.HSA.CED.A.3

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

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25
  5c + 10d = 16.50

• 10c + 5d = 16.50
  5c + 10d = 14.25

• c + d = 10
  5c + 10d = 16.50

• c + d = 5
  5c + 10d = 16.50

Tags

CCSS.8.EE.C.8C

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

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472

• 9x=472

• 4+9x=472

• 4+x=472

Tags

CCSS.HSA.CED.A.3

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)

• 222.5 = 35 + 0.75m

• 222.5 = 0.75 + 35m

• 222.5 = 0.75(m + 35)

Tags

CCSS.HSA.CED.A.3

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.

Write the rate of change that represents this situation.

• $15x

• $2x

• 15

• 2

Tags

CCSS.HSF.IF.B.4

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 25x + 40

• x = 25y +40

• y = 25x

• y = 25x - 40

Tags

CCSS.6.EE.C.9

What does the "b" stand for in y=mx+b?

• slope

• x-intercept

• y-intercept

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3