Worksheet: Variables and Constants

In this worksheet, we will practice using the concepts of constants, variables, and mathematical relations to solve simple real-word problems.

Q1:

The equation ๐‘=๐‘  shows the relation between the number of socks and the number of shoes Daniel owns, where ๐‘  represents the number of socks, and ๐‘ represents the number of shoes. If Daniel has 5 socks, how many shoes does he have?

Q2:

The equation ๐‘=3โ„Ž shows the number of cakes Matthew baked in relation to the number of hours he spent baking them. The variable โ„Ž represents the number of hours spent baking the cakes, and the variable ๐‘ represents the number of cakes baked. How many cakes did Matthew make if he spent 7 hours baking?

Q3:

The equation ๐‘=5๐‘‘ can be used to calculate the total number of CDs Jennifer had listened to ๐‘‘ days after she started working as a music producer. How many CDs had Jennifer listened to one day after she started her job?

Q4:

The equation ๐‘ก=8โ„Ž shows the number of ice cream cones served by an ice cream truck in a number of hours. The variable โ„Ž represents the number of hours, and the variable ๐‘ก represents the number of ice cream cones served. How many ice cream cones were served after 2 hours?

Q5:

The equation ๐‘›=12๐‘ฃ shows the total number of flowers Victoria has in relation to the number of vases she owns. The variable ๐‘ฃ represents the number of vases she has, and the variable ๐‘› represents the total number of flowers. If Victoria has 5 vases, how many flowers does she have?

Q6:

Determine whether the following statement is true or false: In ๐‘š+39, the variable ๐‘š can have any value.

  • Afalse
  • Btrue

Q7:

Which one of the following expressions does not belong with the others?

  • A 7 + 4
  • B 5 โ‹… 6
  • C 8 ร— ๐‘ฅ
  • D 3 ร— 3
  • E 5 รท 5

Q8:

What terminology do we use to describe the ๐‘ฆ in 16๐‘ฆ?

  • Aa variable
  • Ba constant
  • Can expression
  • Da term
  • Ea coefficient

Q9:

The side length of a rhombus is ๐‘ฅ and its perimeter is ๐‘ƒ.

What is the mathematical relation between ๐‘ƒ and ๐‘ฅ?

  • A ๐‘ƒ = ๐‘ฅ + 4
  • B ๐‘ƒ = ๐‘ฅ โˆ’ 4
  • C ๐‘ƒ = 4 ๐‘ฅ
  • D ๐‘ƒ = 1 4 ๐‘ฅ

What term do we use to describe ๐‘ฅ in ๐‘ƒ?

  • AA constant
  • BA variable

Q10:

The side length of an equilateral triangle is ๐ฟ and its perimeter is ๐‘ƒ.

What is the mathematical relation between ๐‘ƒ and ๐ฟ?

  • A ๐‘ƒ = ๐ฟ โˆ’ 3
  • B ๐‘ƒ = 3 ๐ฟ
  • C ๐‘ƒ = 1 3 ๐ฟ
  • D ๐‘ƒ = ๐ฟ + 3

What is the term used to describe ๐ฟ in ๐‘ƒ?

  • AA constant
  • BA variable

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