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7th Grade > Mathematics

ALGEBRAIC EXPRESSIONS MCQs

Total Questions : 116 | Page 7 of 12 pages
Question 61.


Find the value of expression:
 2a - 2b - 10 + 4a + b, if a = 5 and b = 1.


  1.     -1
  2.     19
  3.     -19
  4.     20
 Discuss Question
Answer: Option B. -> 19
:
B

 Simplify the expression:2a2b10+4a+b
=(2a+4a)+(2b+b)10=6ab10


Substituting  a=5 and b=1 in the above expression,


6ab10 
=(6×5)110
=3011
=19


Question 62.


5ab3 + 22abc + 10bc is a ____________.


  1.     monomial
  2.     binomial
  3.     trinomial
  4.     term
 Discuss Question
Answer: Option C. -> trinomial
:
C

A trinomial is defined as a polynomial which contains three unlike terms. The expression 5ab3 + 22abc + 10bc has three unlike terms and hence, it is a trinomial. 


Question 63.


2+3x is an algebraic expression. 


  1.     True
  2.     False
  3.     trinomial
  4.     term
 Discuss Question
Answer: Option A. -> True
:
A

An algebraic expression is a mathematical phrase that contains numbers, variables (represented by lower case letters of the English alphabet) and operators (such as addition, subtraction, multiplication  and division). 
Here are some examples of algebraic expressions: 
a+1, ab,  3x, 43, etc.
Hence, 2+3x is an algebraic expression.


Question 64.


What should be the value of a, if the value of 2x2+6a5x+10 is 25, when x = 1?


  1.     6
  2.     3
  3.     -3
  4.     -6
 Discuss Question
Answer: Option B. -> 3
:
B

Given, 2x2+6a5x+10=25
Substituting the value of x = 1 in the above equation, we get,


 2(1)2+6a5(1)+10=25


2 + 6a - 5 + 10 = 25
6a  + 7 = 25 


6a = 25 - 7 = 18


a = 3


Question 65.


An expression 5x2 5x + 5 is a binomial.


  1.     True
  2.     False
  3.     5mn+22x
  4.     29mnx
 Discuss Question
Answer: Option B. -> False
:
B

An algebraic expression which contains two unlike terms is called a binomial. For example, 8 + x, xy - 4 are binomials.


An algebraic expression which contains three unlike terms is called trinomial. For example, 8 + x + y, xy - 4x + y, etc.


So, the expression, 5x2 + 5x + 5, is a trinomial as this expression contains three unlike terms, which are, 5x2, 5x and 5.
Hence the given statement is false.


Question 66.


Find the sum of
2mn+11x and 22x+4mn.


  1.     6mn+33x
  2.     33mnx
  3.     5mn+22x
  4.     29mnx
 Discuss Question
Answer: Option A. -> 6mn+33x
:
A

In order to find the sum of 2mn+11x and 22x+4mn, we need to group the like terms first (we can add only the like terms).


(2mn+11x)+(22x+4mn)
=2mn+11x+22x+4mn
=(2mn+4mn)+(11x+22x)
=6mn+33x


Hence, the sum is
6mn+33x.


Question 67.


The product of monomial and a binomial expression is a ___________. Give an example.  [2 MARKS]


 Discuss Question
Answer: Option A. -> 6mn+33x
:

Answer: 1 Mark
Example: 1 Mark
The product of a monomial and a binomial expression is a binomial.
E.g.  a(a2b2)=a3ab2 the expression has only two terms  a3 and  ab2.


 


Question 68.


Simplify the expression: 6m + 10 − 10m.  [1 MARK]


 Discuss Question
Answer: Option A. -> 6mn+33x
:


6m + 10 − 10m
(6m - 10m) + 10
- 4m + 10 is the simplified form.


Question 69.


Write the coefficients and terms of the algebraic expression 10x25x6. Also, find the value of the expression at x=2. [2 MARKS]


 Discuss Question
Answer: Option A. -> 6mn+33x
:

Coefficients and terms: 0.5 Mark each
Value of the expression: 1 Mark
Coefficients of x2 and x are 10 and - 5 respectively
Terms are 10x2, 5x and 6
We have to find the value of the expression at x=2 is
10×2×25×26
= 40106
= 24
Hence, the value of the expression at x=2 is 24


Question 70.


Find the sum of the numerical coefficients of the algebraic expression:  
2x2+31y5xy  [2 MARKS]


 Discuss Question
Answer: Option A. -> 6mn+33x
:
Steps: 1 Mark
Answer: 1 Mark
As per the question:
We have to find out the sum of the numerical coefficients of the expression 2x2+31y5xy
The numerical coefficient of 2x2 = 2
The numerical coefficient of 31y = 31
The numerical coefficient of 5xy = 5
Sum of the coefficients = 2 + 31 - 5 = 28
Hence, the sum of the numerical coefficients of the expression 2x2+31y5xy is 28.

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