Q. A) Simplify and express in Exponential Form:
1) 3x^2 [2x/3y] ÷ [8x^2/4y]
2) (4x^2y^3/2x^6y^4)^3 × (x^4y^2)
Q. B) Evaluate:
1) [1-3 (5/3^4) 3^3/5]^100
2) 1 ÷ [(3/11^2)^2 ÷ {12^3/3^2 (4/3)}^2]
Give me a proper answer. Or, I will REPORT your Answer.
Answers
Answer:
Separate the constants and variables from the following:
ANSWER:
A symbol, which has a fixed value, is called a constant.
A symbol, which does not have any fixed value, is called a variable.
Constants:
Variables:
Page No 133:
Question 2:
Separate the monomials, binomials and trinomials from the following:
ANSWER:
Monomials, binomials and trinomials have 1, 2, and 3 unlike terms in them respectively.
(1) 7xyz
Monomial
(2) 9 − 4y
Binomial
(3) 4y2− xz
Binomial
(4) x − 2y + 3z
Trinomial
(5) 7x + z2
Binomial
(6)
Monomial
(7)
Monomial
(8) 4 + 5y − 6z
Trinomial
Page No 136:
Question 1:
Classify into like terms:
ANSWER:
Terms that have the same variables with the same exponents are called like terms. However, when the terms have the same variables with different exponents or different variables with same/different exponents are called unlike terms.
Among the terms 4x2, , −8x3, xy, 6x3, 4y, −74x3, 8xy, 7xyz and 3x2, the like terms can be classified as follows:
{4x2, 3x2}; {−8x3, 6x3, −74x3}; {xy, 8xy};;
Page No 136:
Question 2:
Simplify:
ANSWER:
(i)
(ii)
Page No 136:
Question 3:
Add:
ANSWER:
(i) The terms can be added as follows:
(ii) The terms can be added as follows:
Page No 137:
Question 4:
Subtract:
ANSWER:
(i)
(ii)
Page No 139:
Question 1:
Complete the following table of products of two monomials:
First →
Second ↓
3x
–6y
4x2
–8xy
9x2y
–11x3y2
3x
–6y
4x2
–8xy
9x2y
–11x3y2
ANSWER:
First →
Second ↓
3x
–6y
4x2
–8xy
9x2y
–11x3y2
3x
3x × 3x = 9x2
3x × (–6y) = –18xy
3x × 4x2 = 12x3
3x × (–8xy)= –24x2y
3x × 9x2y = 27x3y
3x × (–11x3y2) = –33x4y2
–6y
(–6y) ×3x = –18xy
(–6y) × (–6y) = 36y2
(–6y) × 4x2 = –24 x2y
(–6y) × (–8xy)= 48x y2
(–6y) × 9x2y= –54 x2y2
(–6y) × (–11x3y2) = 66 x3y3
4x2
4x2 × 3x= 12x3
4x2 × (–6y) = –24x2y
4x2 × 4x2 = 16x4
4x2 × (–8xy)= –32x3y
4x2 × 9x2y= 36x4 y
4x2 × (–11x3y2) = –44x5y2
–8xy
(–8xy) × 3x = –24x2y
(–8xy) × (–6y) = 48xy2
(–8xy) × 4x2 = –32x3y
(–8xy) × (–8xy) = 64x2y2
(–8xy) × 9x2y= –72x3y2
(–8xy) × (–11x3y2) = 88x4y3
9x2y
9x2y × 3x= 27x3y
9x2y × (–6y) = –54x2y2
9x2y × 4x2 = 36x4y
9x2y × (–8xy)= –72x3 y2
9x2y × 9x2y= 81x4y2
9x2y × (–11x3y2) = –99x5 y3
–11x3y2
(–11x3y2) × 3x = –33x4y2
(–11x3y2) × (–6y) = 66x3y3
(–11x3y2) × 4x2 = –4x5y2
(–11x3y2) × (–8xy) = 88x4y3
(–11x3y2) × 9x2y= –99x5y3
(–11x3y2) × (–11x3y2) =