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NCERT Exemplar · Class 7 · Maths

Chapter 10: Algebraic Expressions

Practice each question, then open the answer or worked solution.

Questions

55 questions
Q41Written answer

In like terms, variables and their powers are the same.

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Worked solution

Solution:-

True.

The terms having the same algebraic factors are called like terms.

Q42Written answer

The expression x + y + 5x is a trinomial.

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Worked solution

Solution:-

False.

Consider the given expression, x + y + 5x

The expression contains like terms, x + 5x = 6x

Then, the given expression becomes y + 6x which is a binomial.

Q43Written answer

4p is the numerical coefficient of q2 in – 4pq2.

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Worked solution

Solution:-

False.

-4 is the numerical coefficient of q2 in – 4pq2.

Q44Written answer

5a and 5b are unlike terms.

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Worked solution

Solution:-

True.

The terms having different algebraic factors are called unlike terms.

Q45Written answer

Sum of x2 + x and y + y2 is 2x2 + 2y2.

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Worked solution

Solution:-

False.

Sum of x2 + x and y + y2

= (x2 + x) + (y + y2)

= x2 + y2 + x + y

Q46Written answer

Subtracting a term from a given expression is the same as adding its additive inverse to the given expression.

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Worked solution

Solution:-

True.

Additive inverse of the expression is same as the subtracting term.

Q47Written answer

The total number of planets of Sun can be denoted by the variable n.

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Worked solution

Solution:-

False.

We know that, total number of planets is constant. Hence, we cannot denote planets in variables.

Q48Written answer

In like terms, the numerical coefficients should also be the same.

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Solution:-

False.

The terms having the same algebraic factors are called like terms. Numerical of the coefficient can be vary.

Q49Written answer

If we add a monomial and binomial, then answer can never be a monomial.

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Worked solution

Solution:-

False.

If we add a monomial and binomial, then answer can be a monomial.

For example: sum of y2 and –y2 + x2

= y2 + (-y2 + x2)

= y2 – y2 + x2

= x2

Q50Written answer

If we subtract a monomial from a binomial, then answer is at least a binomial.

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Worked solution

Solution:-

False.

If we subtract a monomial from a binomial, then answer is at least a monomial.

For example: difference of y2 and y2 + x2

= y2 – (y2 + x2)

= y2 – y2 – x2

= – x2