Well-designed AP 7th Class Maths Textbook Solutions Chapter 10 Algebraic Expressions InText Questions offers step-by-step explanations to help students understand problem-solving strategies.

## AP 7th Class Maths 10th Chapter Algebraic Expressions InText Questions

Try These（Page No: 76)

Question 1.

Describe how the following expressions are obtained :

7xy + 5, x^{2}y, 4x^{2} – 5x

Solution:

7xy + 5 : In 7xy + 5, we first obtain xy, multiply it by 7 to get 7xy and add 5 to 7xy to get the expression.

x^{2}y : In x^{2}y, we first obtain x × x = x^{2}, multiply it by y to get x^{2}y.

4x^{2} – 5x : In 4 x^{2} – 5x, we first obtain x^{2} and multiply it by 4 to get 4x^{2}. From 4x^{2}, we subtract the product of 5 and x as 5x.

Try These (Page No. 78)

Question 1.

What are the terms in the following expressions? Show how the terms are formed. Draw a tree diagram for each expression :

8y + 3x^{2}, 7mn – 4, 2x^{2}y

Solution:

8y + 3x^{2} : In 8y + 3x^{2}, the terms are 8y and 3x^{2},

Question 2.

Write three expression each having 4 terms.

Solution:

Three algebraic expressions each having 4 terms are :

i) 3x^{5} + 2x^{3} + 7x^{2} + 6

ii) 2x^{2} + 3x^{2} + 6x + 9

iii) x^{4} + 6x^{3} + 2x + 3

Try These (Page No. 78)

Question 1.

Identify the coefficients of the terms of following expressions :

4x – 3y, a + b + 5, 2y + 5, 2xy

Solution:

Given expression 4x – 3y

Term | Coefficient |

4x | 4 |

-3y | -3 |

Given expression a + b + 5

Term | Coefficient |

A | 1 |

b | 1 |

5 | constant |

In 2y + 5, the terms are 2y and 5

In 2 xy, the term is 2xy.

Try These (Page No. 82)

Question 1.

Group the like terms together from the following :

12x, 12, -25x, -25, -25y, 1, x, 12y, y

Solution:

Given terms 12x, 12, -25x, -25, -25y, 1, x, 12 y, y.

Like term: 12x – 25x, x

-25y, 12y, y; 12 – 25, 1

Try These (Page No. 82)

Question 1.

Classify the following expressions as a monomial, a binomial or a trinomial:

a, a + b, ab + a + b, ab + a + b – 5, xy, xy + 5, 5x^{2} – x + 2, 4pq – 3q + 5p, 7, 4m – 7n + 10, 4mn + 7

Solution: