Constants and Variables: A 6th Grade Math Challenge

In a garden, there are 5 rows of flowers. Each row has the same number of flowers. If the total number of flowers is 35, identify the constant and the variable in this problem.

• Constant: 5 (rows), Variable: total flowers.

• Constant: 35 (total flowers), Variable: number of flowers per row.

• Constant: number of flowers per row, Variable: 5 (rows).

• Constant: number of rows, Variable: 35 (total flowers).

A book costs $12. If you buy x books, how much will you spend? Identify the constant and the variable in this scenario.

• 10 * x

• x - 12

• 12 + x

• 12 * x

Sarah has 20 apples. She gives away x apples to her friends. How many apples does she have left? Identify the constant and the variable in this problem.

• 20 - x

• 20 * x

• x - 20

• 20 + x

A car travels at a speed of 60 miles per hour. If it travels for t hours, how far will it go? Identify the constant and the variable in this situation.

• 60 miles

• 60t kilometers

• t miles

• 60t miles

In a school, there are 30 students in each class. If there are c classes, how many students are there in total? Identify the constant and the variable in this problem.

• 30 + c

• c - 30

• 30c

• 30c + 10

A pizza costs $15. If you order y pizzas, what will be the total cost? Identify the constant and the variable in this scenario.

• Total cost = 15 * y; Constant = 15; Variable = y

• Total cost = 15 * y + 5; Constant = 5; Variable = y

• Total cost = 15 + y; Constant = 15; Variable = 1

• Total cost = 10 * y; Constant = 10; Variable = y

A farmer has 100 meters of fencing. He wants to create a rectangular pen with a width of w meters. What is the length of the pen? Identify the constant and the variable in this problem.

• length = 50 - w

• length = 100 - w

• length = 25 + w

• length = 75 - w

A concert ticket costs $50. If you buy z tickets, how much will you pay? Identify the constant and the variable in this situation.

• z / 50

• 50 * z

• z - 50

• 50 + z

A recipe requires 2 cups of flour for each batch of cookies. If you want to make b batches, how many cups of flour do you need? Identify the constant and the variable in this problem.

• 2 * b

• 3 * b

• 2 + b

• b - 2

A train leaves the station every 30 minutes. If the first train leaves at 8:00 AM, what time will the nth train leave? Identify the constant and the variable in this scenario.

• 8:30 AM + (n-1) * 15 minutes

• 8:00 AM + (n+1) * 30 minutes

• 8:00 AM + (n-1) * 30 minutes

• 8:00 AM + n * 30 minutes