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

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, x2y, 4x2 – 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.
x2y : In x2y, we first obtain x × x = x2, multiply it by y to get x2y.
4x2 – 5x : In 4 x2 – 5x, we first obtain x2 and multiply it by 4 to get 4x2. From 4x2, 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 + 3x2, 7mn – 4, 2x2y
Solution:
8y + 3x2 : In 8y + 3x2, the terms are 8y and 3x2,
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AP 7th Class Maths 10th Chapter Algebraic Expressions InText Questions

Question 2.
Write three expression each having 4 terms.
Solution:
Three algebraic expressions each having 4 terms are :
i) 3x5 + 2x3 + 7x2 + 6
ii) 2x2 + 3x2 + 6x + 9
iii) x4 + 6x3 + 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, 5x2 – x + 2, 4pq – 3q + 5p, 7, 4m – 7n + 10, 4mn + 7
Solution:
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