Q1 of 59 Page 27

Separate the constants and variables from the following:

and

In the given question

The symbols which has a fixed value are constant such as 15, 3, –3/7 and 7


The symbols which do not have any fixed value, but may be assigned the value (values) according to the requirement are called the variables such as



Where z, x and y are variables which may acquire different values according to the situation.


And a combination of a constant and a variable is a variable.


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2

Separate the monomials, binomials and trinomials from the following:

7xyz, 9 – 4y, 4y2 – xz, x – 2y + 3z, 7x + z2, 8xy, x2y2, 4 + 5y – 6z.

 1

Classify into like terms:

4x2, x, –8x3, xy, 6x3, 4y, –74x3, 8xy, 7xyz, 3x2.

 2

Simplify:

(i) 7x – 9y + 3 – 3x – 5y + 8;


(ii) 3x2 + 5xy – 4y2 + x2 – 8xy – 5y2.

 3

Add:

(i) 5a + 3b, a – 2b and 3a + 5b;


(ii) x3 – x2y + 5xy2 + y, –x3 – 9xy2 + y, and 3x2y + 9xy2.