# Grade 8 Consolidation of the Basic Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

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## (1) Identify the Constants and Variables in Each Expression

 Expression Numerical constant Variables (a) (b)

(a)

(b)

## (3) Write in How Many Terms Each Expression Has After Simplification. Tick ‘M’ if the Expression is a Monomial, ‘B’ if It is a Binomial and ‘T’ if It is a Trinomial

 Expression Number of terms after simplification Monomial/binomial/trinomial (a) (b)

## (4) Match Each Polynomial in Column a to Its “Type” in Column B

 Column-A Column-B (a) (a) Linear polynomial (b) (b) quadratic polynomial (c) (c) cubic polynomial (d) (d) quartic polynomial (e) (f)

## (5) Answer the Following Questions

(b) Subtract from

(6) is subtract from . The difference is added to the sum of and 3 times write out the resulting algebraic expression.

(a)

(b)

(c)

(a)

(b)

(c)

(a)

(b)

(c)

(a)

(b)

## (11) Answer the Following Questions

(a)

(b)

• Expression equation is as below,

• Numerical constant in algebraic expression is a fixed number as its value is fixed.
• Here in given expression numerical constant is
• Variables is a latter that is used in place of a number which value is not fixed and was find out with the help of related expression.
• Here in given expression variables are
 Expression Numerical constant Variables (a)

• Expression equation is as below,

• Numerical constant in algebraic expression is a fixed number as its value is fixed.
• Here in given expression numerical constant is
• Variables is a latter that is used in place of a number which value is not fixed and was find out with the help of related expression.
• Here in given expression variables are
 Expression Numerical constant Variables (b)

• Coefficient is a constant number that stand beside the variable means in multiplication with variable.
• Coefficient in given expression are
• Variables is a latter that is used in place of a number which value is not fixed and was find out with the help of related expression.
• Here in given expression variables are
 Expression Numerical constant Variables (a)

• Coefficient is a constant number that stand beside the variable means in multiplication with variable.
• Coefficient in given expression are
• Variables is a latter that is used in place of a number which value is not fixed and was find out with the help of related expression.
• Here in given expression variables are
 Expression Numerical constant Variables (a)

• Given expression is already in its simplest form we cannot do any process in this expression to simplify it,
• Hence simple form of given equation is
• it՚s clear from simplest form that expression have three (3) term;
 Expression Number of terms after simplification Monomial/binomial/trinomial (a) 3

• The simplest form of given equation is written as below,

• Hence simple form of given equation is
• it՚s clear from simplest form that expression have three (2) term;
 Expression Number of terms after simplification Monomial/binomial/trinomial (b) 2

• Linear polynomial: A polynomial whose degree is 1 after simplificationof polynomial is named as a linear polynomial.
• For example;
• Quadratic polynomial: A polynomial whose degree is 2 after simplificationof polynomial is named as a Quadratic polynomial.
• For example;
• Cubic polynomial: A polynomial whose degree is 3after simplification of polynomial is named as a Cubic polynomial.
• For example;
• Quartic polynomial: A polynomial whose degree is 4after simplification of polynomial is named as a Cubic polynomial.
• For example;
• Hence

• Adding the given terms we have,

• Hence,

• Subtract from

• Hence,

• Here first is subtract from
• Hence,

• Sum of, and 3 times

• Now, is subtracting from .
• The difference is added to the sum of and 3 times

• Hence the resulting algebraic expression is

• Given equation,

• Therefore, the answer will be

• Given equation,

• Hence, the answer will be

• Given equation,

• Therefore, the answer will be

• Given equation,

• Given equation,

• Given equation,

• Here,

• Here,

• Here,