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7th Grade > Mathematics

ALGEBRAIC EXPRESSIONS MCQs

Total Questions : 116 | Page 9 of 12 pages
Question 81.


a) What should be subtracted from 3x24y2+5xy+20 to obtain x2y2+6xy+20?
b) Find the final expression when the algebraic expression x2+2xy+y2 is multiplied by xy. [4 MARKS]


 Discuss Question
Answer: Option A. ->
:
Each option: 1.5 Marks
a) Let q be the expression to be subtracted.
Then according to the question,
3x24y2+5xy+20q=x2y2+6xy+20
q=3x24y2+5xy+20(x2y2+6xy+20)
q=3x24y2+5xy+20+x2+y26xy20
q=3x2+x24y2+y2+5xy6xy+2020
q=4x23y2xy+0
Hence, 4x23y2xy should be subtracted from 3x24y2+5xy+20 to obtain x2y2+6xy+20.
b) As per the question: 
x2+2xy+y2 is multiplied by xy
So, xy× x2+2xy+y2
=xy×x2+xy×2xy+xy×y2
=x2+1y+2x1+1y1+1+xy1+2
am×an=am+n
=x3y+2x2y2+xy3
Question 82.


What will be the expression for the sum of numbers p and q, which is subtracted from their product ?


  1.     (p + q)pq
  2.     pq + (p - q)
  3.     pq + p + q
  4.     pq - (p + q)
 Discuss Question
Answer: Option D. -> pq - (p + q)
:
D

The sum of p and q is p + q.
The product of p and q is pq.
So, when (p+q) is subtracted from pq,
the final expression will be pq - (p + q).


Question 83.


Identify the terms of expression 4pq + p - q - r.


  1.     4, p, q, r
  2.     4pq, p, q, r
  3.     4pq, p, -q, -r
  4.     4pq, p, -q, r
 Discuss Question
Answer: Option C. -> 4pq, p, -q, -r
:
C

The terms in an expression are separated by operator + (addition). Therefore, terms of the expression 4pq + p - q - r are 4pq, p, -q, and -r.


Question 84.


Choose the correct option which indicates all the like terms in the following expression.
3x+5x+7y+9x4y


  1.     (4y, 7y)
  2.     (7y,4y),(3x,5x)
  3.     (7y,4y),(3x,5x,9x)
  4.     (3x, 5x, 7y)
 Discuss Question
Answer: Option C. -> (7y,4y),(3x,5x,9x)
:
C

Terms containing the same variables raised to the same power are called as like terms.
Here, 3x, 5x and 9x are like terms.
Similarly, 7y and -4y are like terms.


 


Question 85.


Which of the following is/are monomial(s) in one variable?


  1.     2xy
  2.     3x + pq - pq
  3.     5
  4.     3x + y
 Discuss Question
Answer: Option B. -> 3x + pq - pq
:
B

An algebraic expression which consists of only one non-zero term is called a monomial. Examples of monomials are as follows:


a) 2xy is a monomial, but it has 2 variables, 'x' and 'y'
b) 3x + pq -pq is nothing but 3x, which is a monomial, with only one variable, that is 'x'.
c) 5 is a constant
d) 3x +y is a binomial, as it has two terms


So, according to the given question, 3x+ pq - pq = 3x,   is a monomial in one variable.


Question 86.


The nth term of the pattern 1,4,9,16,25...... is _____.


  1.     n+3
  2.     n+5
  3.     n(n-1)
  4.     n2
 Discuss Question
Answer: Option D. -> n2
:
D

The pattern in the above case is,
1=12,  (1st term; n=1)
4=22,  (2nd term; n=2)
9=32   (3rd term; n=3)
and so on. 
Similarly, the term at nth position of the pattern will be n2.


Question 87.


Find the value of expression (ab)(a2+ab) when a = 3 and b = 2?


  1.     15
  2.     16
  3.     54
  4.     20
 Discuss Question
Answer: Option A. -> 15
:
A

Substituting values of a = 3 and b = 2 in the expression:


(32)(32+(3×2))


(32)(9+6) 
(1)(15)=15


The value of the expression is 15.


Question 88.


The coefficient of term x5 in the expression x3x5 is


___
 Discuss Question
Answer: Option A. -> 15
:

Coefficient is defined as a number or symbol multiplied to a variable or an unknown quantity in an algebraic term. 
The coefficient of the term x5 in expression x3x5 is -1,
  x5 = 1×(x5)
The coefficient of x5 is equal to -1.


Question 89.


A monomial added to/subtracted from a monomial is always a monomial.


  1.     True
  2.     False
  3.     y + xy
  4.     2 (xy)
 Discuss Question
Answer: Option B. -> False
:
B

A monomial added to/subtracted from a monomial is not always a monomial.


For example, 4x - 5y is not a monomial


4x + 5x = 9x is a monomial


Question 90.


1x; x0
is an algebraic expression. 


  1.     True
  2.     False
  3.     y + xy
  4.     2 (xy)
 Discuss Question
Answer: Option A. -> True
:
A

A single term or a combination of two or more terms joined by operators such as plus (+) or minus (-) signs forms an algebraic expression. E.g., 58 - y , 6xy + z  etc.
So, 1x is an algebraic expression.


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