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Question 2

Identity the number of terms and the coefficients for the expression.

Solution:
3 terms, 1, 1, 1.

Question 3

Identity the number of terms and the coefficients for the expression .

Solution:
3 terms, 4, - 4, 1.

Question 4

Identity the number of terms and the coefficients for the expression.

Solution:
4 terms, 3, - 1, 1,- 1.

Question 5

Identity the number of terms and the coefficients for the expression.

Solution:
3 terms,.

Question 6

Classify the following polynomials as monomial, binomial, trinomials. Which polynomials do not fit any of these three categories?

(i) x + y


Solution:
(i) Binomial, because it has two terms.

(ii) Monomial, because it has one term.

(iii) This polynomial does not fit in these categories.

(iv) Trinomial, because it has 3 terms.

(v) Binomial, because it has two terms.

(vi) Trinomial, because it has 3 terms.

(vii) Trinomial, because it has 3 terms.

(viii) Binomial, because it has two terms.

(ix) This polynomial does not fit in these categories.

(x) Monomial, because it has one term.

(xi) Binomial, because it has two terms.

(xii) Binomial, because it has two terms.

Question 7

Add the following: .


Solution:

Question 8

Add the following:.

Solution:


Question 9

Add the following:.

Solution:


Question 10

Add the following:.

Solution:


Question 11

Subtract 4a - 7ab + 3b + 17 from 12a - 9ab + 5b - 3.

Solution:


Question 12

Subtract 3xy + 5yz - 7zx from 5xy - 2yz - 2zx + 10xyz.

Solution:


Question 13

Subtract from .

Solution:


Question 14

Find the product of the following pairs of monomials


Solution:


Question 15

Find the areas of rectangles with the following pairs monomials as their length and breadths respectively: (i) (p, q) (ii) (10m, 5n) (iii) (20x2, 5y2) (iv) (4x, 3x2) (v) (3mn, 4np)

Solution:
(i) Area = pq

(ii)Area = (10 × 5) (m × n) = 50mn

(iii)Area = (20 × 5) (x2 × y2) = 100x2y2

(iv) Area = (4 × 3) x3 = 12x3

(v) Area = (3 × 4) (mn × np) = 12mn2p

Question 16

Complete the table of products.

×

           

           

           

           

           

           


Solution:
Complete the table of products.

×


Question 18

Obtain the product of

Solution:



Question 19

Carryout the multiplication of the expression in each of the following pairs.


Solution:



Question 20

Complete the table

 
 

First expression

Second expression

Product

(i) a  
(ii)  
(iii) p  
(iv)  
 


Solution:

First expression

Second expression

Product

(i) a
(ii)
(iii) p
(iv)


Question 21

Find the product:


Solution:



Question 22

Simplify and find its values for .


Solution:



Question 23

Simplify and find its values for (i) a = 0, (ii) a = 1, (iii) a = -1


Solution:


Question 24

Add: .

Solution:


Question 25

Add .

Solution:


Question 26

Subtract from .

Solution:


Question 27

Subtract

Solution:


Question 28

Multiply the Binomials.

Solution:


Question 29

Multiply the Binomials.

Solution:


Question 30

Multiply the Binomials

Solution:

Question 31

Multiply the Binomials.

Solution:


Question 32

Multiply the Binomials.

Solution:


Question 33

Multiply the Binomials.

Solution:

Question 34

Find the product.

Solution:

Question 35

Find the product.

Solution:

Question 36


 
Find the product.

Solution:


Question 37

Find the product.

Solution:


Question 38

Simplify:.

Solution:


Question 39

Simplify: .

Solution:


Question 40


 
Simplify: .

Solution:

Question 41

Simplify: .

Solution:


Question 42

Simplify: .

Solution:

Question 43

Simplify: .

Solution:

Question 44

Simplify: .

Solution:

Question 45

Simplify: .

Solution:

Question 46

Use a suitable identity to get each of the following products


Solution:



Question 47

Use the identity to find the following products.


Solution:


Question 48

Find the following squares by using the identities


Solution:


Question 49

Simplify:.

Solution:


Question 50

Simplify:.

Solution:


Question 51

Simplify:.

Solution:


Question 52

Simplify:.

Solution:


Question 53

Simplify:.

Solution:


Question 54

Simplify:.

Solution:


Question 55

Simplify:.

Solution:


Question 56

Show that .

Solution:


Question 57

Show that .

Solution:


Question 58

Show that .

Solution:


Question 59

Show that .

Solution:


Question 60

Show that

Solution:


Question 61

Using identities, evaluate:


Solution:



Question 62

Using Find.


Solution:


Question 63

Using find:


Solution:





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