Lakshya Education MCQs

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

: Coefficients and terms: 0.5 Mark each
Value of the expression: 1 Mark

Coefficients of x2and 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=2is24

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Question 1. Add  2a+3b+c+d, a+bcd and 3a4b2c2d. Find the value of the final expression if a=2, b=3, c=4, d=5. [3 MARKS]

: Forming the equation: 1 Mark
Sum: 1 Mark
Value: 1 Mark

We have to find the sum of the expressions
2a+3b+c+d,a+bcd
and 3a4b2c2d.


(2a+3b+c+d)+(a+bcd)+(3a4b2c2d)

2a+3b+c+da+bcd+3a4b2c2d

2aa+3a+3b+b4b+cc2c+dd2d

4a+0×b2c2d

Sum =4a2c2d
As per question ,
a = 2, b = 3, c = 4, d = 5
So, on substituting the values we get,
Sum = 4×22×42×5
=8810
= 10
The value of the expression is 10.
Question 2. Aliyah had Rs. 24 to spend on seven pencils. After buying them she had Rs. 10 left. How much did each pencil cost?  [4 MARKS]

: Forming the equation: 1 Mark
Steps: 2 Marks
Result: 1 Mark


Given that:

Total amount Aliyah had =Rs.24

Total number of pencils Aliyah bought =7

Total amount left after buying pencil =Rs.10

Total amount she spent
=Rs.24Rs.10=Rs.14


Total money spenton pencil = Rs 14
Let the cost each pencil be x
7x=Rs.14

Cost of each pencil ,x=147=Rs.2
The cost of each pencil is Rs2.
Question 3. Find  (0.4p0.5q)2. If p = 5 and q = 4, evaluate the value of the expression. [3 MARKS]

: Steps: 1 Mark
Final expression: 1 Mark
Value: 1 Mark

(0.4p0.5q)2

=(0.4p0.5q)×(0.4p0.5q)

=(0.4p)×(0.4p)(0.4p×0.5q+0.4p×0.5q)+(0.5q)×(0.5q)

=0.16p20.40pq+0.25q2

Given that
p = 5 and q = 4
on substituting the values we get,
=0.16×520.40×5×4+0.25×42
=48+4
=0
Question 4. Define monomials, binomials, and trinomials. Classify the following into monomials, binomials and trinomials:  [4 MARKS]



(i) 4y7x

(ii) y2

(iii) x+yxy

(iv) 100

(v) abab

(vi) (53t)

(vii) 4p2q4pq2

(viii) 7mn

(ix) z23z+8

(x) a2+b2

(xi) z2+z

(xii) 1+x+x2

: Definition: 1 Mark
Classification: 3 Marks

Monomials: An expression with only one term is called monomial.
Binomial: An expression with two, unlike terms, is called a binomial.
Trinomial: An expression with three, unlike terms, is called a trinomial.

S.NOExpressionTypeofPolynomial(i)4y7zBinomial(ii)y2Monomial(iii)x+yxyTrinomial(iv)100Monomial(v)ababTrinomial(vi)53tBinomial(vii)4p2q4pq2Binomial(viii)7mnMonomial(ix)z23z+8Trinomial(x)a2+b2Binomial(xi)z2+zBinomial(xii)1+x+x2Trinomial

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