Solving Word Problems Using Variables

Danielle and Margo are at the same concert. Danielle parked in Parking Garage A that charged $3 per hour plus a $4 parking fee. Margo parked at Parking Garage B that charged $4 per hour plus a $1 parking fee. At what time will both Danielle and Margo pay the same price for parking? What is our first equation?

• y= 4x+4

• y=3x+4

• y=3x+1

• y=4x+3

Tags

CCSS.8.EE.C.8C

Danielle and Margo are at the same concert. Danielle parked in Parking Garage A that charged $3 per hour plus a $4 parking fee. Margo parked at Parking Garage B that charged $4 per hour plus a $1 parking fee. At what time will both Danielle and Margo pay the same price for parking? What is our second equation? Our first equation was y=3x+4

• y=4x-1

• y=3x+1

• y=3x+4

• y=4x+1

Tags

CCSS.8.EE.C.8C

Danielle and Margo are at the same concert. Danielle parked in Parking Garage A that charged $3 per hour plus a $4 parking fee. Margo parked at Parking Garage B that charged $4 per hour plus a $1 parking fee. At what time will both Danielle and Margo pay the same price for parking?

Which methods would work best to solve?

• Graphing

• Elimination

• Substitution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Danielle and Margo are at the same concert. Danielle parked in Parking Garage A that charged $3 per hour plus a $4 parking fee. Margo parked at Parking Garage B that charged $4 per hour plus a $1 parking fee. At what time will both Danielle and Margo pay the same price for parking? Solve the system of equations y=3x+4 ------- y=4x+1

• Hour 3

• Hour 2

• Hour 1

• Hour 4

Tags

CCSS.8.EE.C.8C

Danielle and Margo are at the same concert. Danielle parked in Parking Garage A that charged $3 per hour plus a $4 parking fee. Margo parked at Parking Garage B that charged $4 per hour plus a $1 parking fee. How much did the parking garages charge Danielle and Margo at 3 hours

• $5

• $9

• $13

• $18

Nancy went to the grocery story.  On Monday she purchased 4 apples (x) and 6 bananas (y) for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6

• x + y = 4
  x - y = 6

• 4x + 6y = 13
  3x + 7y = 13.5

• 4x - 6y = 13
  3x - 7y = 13.5

Tags

CCSS.8.EE.C.8C

There are 15 animals in a barn.  These animals are horses (x) and chickens (y).  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44

• 4x + 2y = 15
  x + y = 44

• x = 2y + 44
  4x = y + 15

• 2x - 4y = 44
  x - y = 15

Tags

CCSS.8.EE.C.8C

Habiba sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Ruth sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $5 
  Oatmeal Cookies $3

• Sugar Cookies $4
  Oatmeal Cookies $8

• Sugar Cookies $2
  Oatmeal Cookies $6

• Sugar Cookies $3
  Oatmeal Cookies $6

Tags

CCSS.8.EE.C.8C

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• (35, 52)

• (18, 69)

• ( 52, 35) 

• (61, 26)

Tags

CCSS.8.EE.C.8C

The senior class at Orchard Collegiate High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Essex High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

• Van 43
  Bus 14

• Van 11
  Bus 21

• Van 14
  Bus 43

• Van 17
  Bus 45

Tags

CCSS.8.EE.C.8C