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7th Grade > Mathematics

ALGEBRAIC EXPRESSIONS MCQs

Total Questions : 116 | Page 12 of 12 pages
Question 111.


Perimeter of a square plot with side 2x is 40 units. Find the length of the side of the square plot.


  1.     5 units
  2.     16 units
  3.     10 units
  4.     20 units
 Discuss Question
Answer: Option C. -> 10 units
:
C

Perimeter of square = 40 units
                    4× side = 40
                      4×2x = 40
                             8x = 40


So, x = 5 units.


So, the length of each side is 5×2 =  10 units.


Question 112.


Find the value of the expression 5ab for a = 3, b = 2.


  1.     30
  2.     40
  3.     50
  4.     69
 Discuss Question
Answer: Option A. -> 30
:
A
5ab=5×a×b
Given, a = 3, b = 2

5ab =5×3×2=30


Question 113.


2x and (12) are ___ of the algebraic expression (2x12).


 Discuss Question
Answer: Option A. -> 30
:

The 'term' of an algebraic expression is either a single number or variable, or number and variables multiplied together.
When such terms are added, it forms an algebraic expression.
So, 2x and (12) are terms of the algebraic expression (2x12).
Here, we should notice that ‘minus’ is associated with the terms.


Question 114.


The given expression '2x2+3y+5z2+10p+6y+7x2', on simplification gives:


  1.     9x2+9y+5z2+10p
  2.     11x2+2y+10z2+10p
  3.     9x2+12y+5z2+10p
  4.     19x2+10y+5z2+10p
 Discuss Question
Answer: Option A. -> 9x2+9y+5z2+10p
:
A
Given expression is
2x
2+3y+5z2 +10p+6y+7x2
Group the like terms:
= (2x2+7x2) + (3y+6y) + 10p + 5z2

Solve groups:
x2(2+7)+y(3+6)+5z2+10p
9x2+9y+5z2+10p


Question 115.


The coefficient of xy in the expression '12xy + 6' is ___


 Discuss Question
Answer: Option A. -> 9x2+9y+5z2+10p
:
In the expression '12xy + 6', 'xy' is the variable part and it is multiplied to a constant part, which is called co-efficient of the variable. 
In this case the coefficient of xy is 12.

Question 116.


In the options given below, there are a few terms picked from an algebraic expression in x and y.
Which of them is/are variable?


  1.     xy
  2.     4x+6y
  3.     pxy
  4.     7
 Discuss Question
Answer: Option A. -> xy
:
A, B, and C

A constant is a number on its own which has a fixed value whose value does not change.
In the given options the values  of  'xy', '4x+6y' and 'pxy' are not fixed and can change depending on which value 'x' and 'y' takes, but '7' is a fixed value.
So '7' is a constant and others are variables. 


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