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Chapter 2: Q21. (page 112)

For the given expression, identify the terms, like terms, coefficients, and constant terms. Then simplify the expression.

y+7y-9-3y

Short Answer

Expert verified

Terms in given expression are y,7y,-9,-3y.

Like terms in given expression are y,7y,-3y.

Coefficients in given expression are 1,7,-3.

Constants in given expression are -9.

Value of given expression is 5y-9.

Step by step solution

01

Step-1- Terms and like terms

y+7y-9-3y

Parts of an expression that are added together are called terms.

Therefore, the terms in given expression are y,7y,-9,-3y.

The term which has the same variable part are called like terms.

Therefore, the like terms in given expression are y,7y,-3y.

02

Step-2-Coefficients and constant terms

Number part of a term with a variable is called the coefficient.

Therefore, the coefficients in given expression are 1,7,-3.

Term independent of any variable are called constants.

Therefore, the constants in given expression are -9.

03

Step-3-Solving given expression

y+7y-9-3y

On simplifying, we get,

y+7y-9-3y=y+7y-3y-9y+7y-9-3y=5y-9

Therefore, the value of given expression is 5y-9.

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