Solving Word Problems Using Variables

A theater production charges $21 for adult tickets and $15 for student tickets. If the production sold 102 tickets for its opening night and made $1,932 in ticket sales, how many of each type of tickets were sold?

Solve the system of equations for this word problem.

• 21 adults

  15 students

• 67 adults

  35 students

• 50 adults

  52 students

• 101 adults

  1 student

Tags

CCSS.8.EE.C.8C

Seth is observing two flowers that are growing in his garden. Flower A is 2 inches tall and is growing 0.75 inches per day and Flower B is 3 inches tall and is growing 0.5 inches per day. How many days will it take for both Flower A and Flower B to be the same height? What do we define as our variables?

• x = days of growth

  y= total height of the flower

• x = inches

  y = flowers

• x = flowers

  y= inches

• x = total height

  y= days of growth

Tags

CCSS.8.EE.C.8C

Seth is observing two flowers that are growing in his garden. Flower A is 2 inches tall and is growing 0.75 inches per day and Flower B is 3 inches tall and is growing 0.5 inches per day. How many days will it take for both Flower A and Flower B to be the same height? How do we set up the first equation for Flower A?

• y=2x+0.75

• y=0.75x+2

• y = 3x+0.5

• y = 0.5x+3

Tags

CCSS.8.EE.C.8C

Seth is observing two flowers that are growing in his garden. Flower A is 2 inches tall and is growing 0.75 inches per day and Flower B is 3 inches tall and is growing 0.5 inches per day. How many days will it take for both Flower A and Flower B to be the same height? How do you set up the equation for Flower B?

• y = 2x + 0.75

• y= 0.75x + 2

• y = 0.5x + 3

• y= 3x+0.75

Tags

CCSS.8.EE.C.8C

Seth is observing two flowers that are growing in his garden. Flower A is 2 inches tall and is growing 0.75 inches per day and Flower B is 3 inches tall and is growing 0.5 inches per day. How many days will it take for both Flower A and Flower B to be the same height? What is the best method of solving (y=0.75x+2 ---- y=0.5x+3)

• Graphing

• Substitution

• Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Seth is observing two flowers that are growing in his garden. Flower A is 2 inches tall and is growing 0.75 inches per day and Flower B is 3 inches tall and is growing 0.5 inches per day. How many days will it take for both Flower A and Flower B to be the same height? Solve using substitution. (y=0.75x+2 ---- y=0.5x+3)

• ( 4 , 5 )

• ( 5 , 4 )

• ( 3 , 6 )

• ( 6 , 3 )

Amber and Melanie are at farmer's market. Amber bought 4 apples and 1 orange. Her total bill was $11. Melanie bought 1 apple and 2 oranges and her total price was $8. What was the price for each apple and orange?

How would you define your variables?

• x= price of apples

  y=price of oranges

• x= total bill

  y=apples

• x= oranges

  y= how many miles to the market

• x= total bill

  y=oranges

Tags

CCSS.8.EE.C.8C

Amber and Melanie are at farmer's market. Amber bought 4 apples and 1 orange. Her total bill was $11. Melanie bought 1 apple and 2 oranges and her total price was $8. What was the price for each apple and orange? How do we set up our first equation?

• x+y=10

• 10x+y=22

• 4x+y=11

• x-y =22

Tags

CCSS.8.EE.C.8C

Amber and Melanie are at farmer's market. Amber bought 4 apples and 1 orange. Her total bill was $11. Melanie bought 1 apple and 2 oranges and her total price was $8. What was the price for each apple and orange? How do we set up our second equation? Our first equation was 4x+y=11

• x+y=11

• x+2y=8

• 8x+2y=22

• 14x+7y=49

Tags

CCSS.8.EE.C.8C

Amber and Melanie are at farmer's market. Amber bought 4 apples and 1 orange. Her total bill was $11. Melanie bought 1 apple and 2 oranges and her total price was $8. What was the price for each apple and orange? What is the best method to solve?

• Graphing

• Substitution

• Elimination

Tags

CCSS.8.EE.C.8C