Worksheet on Constant and Variables

Free Printable Math Worksheet on Constants and Variables will let you know what is variable and constant. Practice the Constant Variables and Algebraic Expressions Worksheet available here for free and get to know different kinds of questions asked on the topic.

If you are stuck at any point while solving a question you can always refer to our 6th Grade Math Worksheet on Constants and Variables to resolve your queries if any. Download the handy Constants Variables Worksheet PDF and make the most out of them to master the concept.

Also, See: Worksheet on Powers of Literal Numbers

Math Worksheet on Constants and Variables

I. Consider the algebraic expression 5x4 – 8x3 + x2 – x – 7. How many variables are there? Identify the constant?

Solution:

given the algebraic expression 5x4 – 8x3 + x2 – x – 7
Here the variables are 5x4, 8x3, x2, x.
There are 4 variables.
The constant is 7.
Therefore, there are 4 variables,1 constant.


II. Separate, constants and variables from the following:
7, 3x, -10y, 2/3, 1/4xy, mn, 4p, 0, 5x/2, 5/11k, -st/3m, 1/2

Solution:

The constants are 7, 2/3, 0, 1/2.
The variables are 3x, -10y, 1/4 xy, mn, 4p, 5x/2, 5/11k, -st/3m.


III. In the algebraic expression 5x2+8x + 3, find the constants.

Solution:

Given an algebraic expression,
5x2+8x + 3
The constants are 5,8,3.


IV. In the algebraic expression 21x + 8y, find the variables and constants.

Solution:

Given an algebraic expression,
21x + 8y
The variables are x,y.
The constants are 21,8.


V. Fill in the blanks:
(i) In -2z, _____ is constant and _____ is variable.
(ii) In 25xy, _____ is constant and _____ are variables.
(iii) In 19ab/m, _____ is constant and _____ are variables.
(iv) In 34x/7y, _____ are constants and _____ are variables.
(v) In 3x+2,________ are constants and _______ is variable.
(vi) In x+y=5,_______ is constant and _______are variables.

Solution:

(i) In -2z, -2 is constant and z is variable.
(ii) In 25xy, 25 is constant and x and y are variables.
(iii) In 19ab/m, 19 is constant and a, b and m are variables.
(iv) In 34x/7y, 34 and 7 are constants and x and y are variables.
(v) In 3x+2, 3,2 are constants and x is a variable.
(vi) In x+y=5, 5 is constant and x,y are variables.


VI. State whether the following statements are true or false:
(i) 14 is a constant and x is a variable but 14x is a variable.
(ii) 8 is constant and s is variable but together 8 + s is a variable.
(iii) 20 is constant and k is variable but together 20 – k is a constant.
(iv) 16 is constant and m is variable but together 16 m is a constant.
(v) 1 is a variable.
(vi) Combination of both a constant and a variable is also constant.
(vii) A quantity that takes a fixed numerical value is called a constant.
(viii) A quantity or symbol which has no fixed value but it can represent any numerical value is called a variable.
(ix) 18y, z/5, 7/z are some of the examples of constants.
(x) y, m + n, a – m, a are some of the examples of variables.

Solution:

(i) True
(ii) True
(iii) False
(iv) False
(v) False
(vi) False
(vii) True
(viii) True
(ix) False
(x) True


VII. Find the value of x for equation 5x + 5 = 20.

Solution :

Given that,
5x + 5 = 20
Subtract 5 from each side.
5x + 5 – 5 = 20 – 5
5x = 15
Divide each side by 5.
5x/5 = 15/5
x = 3
So, the value of x is 3.


VIII. Find the value of x for equation 20x + 5 = 25

Solution:

Given that,
20x+5=25
20x=25-5
20x=20
x=20/20=1
Therefore, the value of x is 1.


IX. Identify the constants and the variables in each of the following
i) 2a
ii) 5m
iii) 7s
iv) xy
v) 58
vi) 25ac

Solution:

i) In 2a,
Constant = 2 , Variable = a
ii) 5m
Here Constant = 5, Variable = m
iii) 7s
Here Constant =7,Variable = s
iv) xy
In xy,
Constant = 0, Variable = xy
v) 58
Here Constant = 58, Variable = none
vi) 25ac
Here Constant = 25, Variable = a and c


X. Find the value of x for the following equations
i) 2x+4=10
ii) 4x+2=22

Solution:

Given 2x+4=10
2x=10-4
2x=6
x=6/2
x=3
Hence,x=3.
ii) Given 4x+2=22
4x=22-2
4x=20
x=20/4
x=5
Therefore,x=5.


 

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