Identifying Variables and Constants in Algebra Problems

A store sells pencils for $2 each. If you buy x pencils, how much do you spend? Identify the variable and constant in this problem.

• Total cost = 2 - x; Variable: x; Constant: 2

• Total cost = x / 2; Variable: 2; Constant: x

• Total cost = 2 * x; Variable: x; Constant: 2

• Total cost = 2 + x; Variable: 2; Constant: x

Maria has 5 more than twice the number of books that John has. If John has y books, write an expression for the number of books Maria has. What are the variables and constants?

• 2y + 5

• 2y - 5

• y + 5

• 3y + 5

A recipe calls for 3 cups of flour and x cups of sugar. If you want to make 2 batches, how much flour and sugar do you need? Identify the variables and constants.

• 3 cups of flour and 3x cups of sugar

• 6 cups of flour and 3 cups of sugar

• 4 cups of flour and x cups of sugar

• 6 cups of flour and 2x cups of sugar

Tom is 4 years older than his sister. If his sister's age is z, write an expression for Tom's age. What are the variables and constants?

• z + 2

• z - 4

• z + 4

• z + 1

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

• 60t kilometers

• 30t miles

• 120t miles

• 60t miles

The total cost of x notebooks is $15. Write an equation to find the cost of one notebook. What are the variables and constants?

• c = 15 - x

• c = 15 + x

• c = 15 * x

• c = 15/x

A garden has 3 times as many roses as tulips. If there are t tulips, write an expression for the number of roses. Identify the variables and constants.

• 2t

• 3t

• t/3

• 4t

A movie ticket costs $10. If you buy y tickets, how much do you spend? Write an equation and identify the variable and constant.

• total_cost = 10 + y

• total_cost = y - 10

• total_cost = 10 / y

• total_cost = 10 * y

Samantha has twice as many stickers as her friend. If her friend has s stickers, write an expression for the number of stickers Samantha has. What are the variables and constants?

• s

• s+1

• 2s+1

• 2s

A box contains x apples and 5 oranges. If you eat 2 oranges, how many fruits are left in the box? Identify the variables and constants in this problem.

• x + 2

• x + 4

• x + 5

• x + 3