Practice Set 32 Class 7 Answers Chapter 8 Algebraic Expressions and Operations on them Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 32  Answers Solutions Chapter 8 Algebraic Expressions and Operations on them.

Algebraic Expressions and Operations on them Class 7 Maths Chapter 8 Practice Set 32 Solutions Maharashtra Board

Std 7 Maths Practice Set 32 Solutions Answers

Question 1.
Classify the following algebraic expressions as monomials, binomials, trinomials or polynomials.
i. 7x
ii. 5y – 7z
iii. 3x³ – 5x² – 11
iv. 1 – 8a – 7a² – 7a³
v. 5m – 3
vi. a
vii. 4
viii. 3y² – 7y + 5
Solution:
i. Monomial
ii. Binomial
iii. Trinomial
iv. Polynomial
v. Binomial
vi. Monomial
vii. Monomial
viii. Trinomial

Std 7 Maths Digest

Practice Set 33 Class 7 Answers Chapter 8 Algebraic Expressions and Operations on them Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 33 Answers Solutions Chapter 8 Algebraic Expressions and Operations on them.

Algebraic Expressions and Operations on them Class 7 Maths Chapter 8 Practice Set 33 Solutions Maharashtra Board

Std 7 Maths Practice Set 33 Solutions Answers

Question 1.
Add:
i. 9p + 16q; 13p + 2q
ii. 2a + 6b + 8c; 16a + 13c + 18b
iii. 13x² – 12y²; 6x² – 8y²
iv. 17a²b² + 16c; 28c – 28a²b²
v. 3y² – 10y + 16; 2y – 7
vi. – 3y² + 10y – 16; 7y² + 8
Solution:
i. (9p + 16q) + (13p + 2q)
= (9p + 13p) + (16q + 2q)
= 22p + 18q

ii. (2a + 6b + 8c) + (16a + 13c + 18b)
= (2a + 16a) + (6b + 18b) + (8c + 13c)
= 18a + 24b + 21c

iii. (13x² – 12y²) + (6x² – 8y²)
= (13x² + 6x²) + [(-12y²) + (-8y²)]
= 19x² + (-20y²)
= 19x² – 20y²

iv. (17a²b² + 16c) + (28c – 28a²b²)
= [17a²b² + (-28a²b²)] + (16c + 28c)
= -11a²b² + 44c

v. (3y² – 10y + 16) + (2y – 7)
= 3y² + (-10y + 2y) + (16 – 7)
= 3y² – 8y + 9

vi. (-3y² + 10y – 16) + (7y² + 8)
= (-3y² + 7y²) + (10y) + (-16 + 8)
= 4y² + 10y – 8

Maharashtra Board Class 7 Maths Chapter 8 Algebraic Expressions and Operations on them Practice Set 33 Intext Questions and Activities

Question 1.
Answer the following questions. (Textbook pg. no. 57)

  1. 3x + 4y = How many?
  2. 3 guavas + 4 mangoes = 7 guavas.
  3. 7m – 2n = 5m.

Solution:

  1. 3x and 4y are unlike terms. Hence, they cannot be added, further to get a single term.
  2. No. Guava and mango are different fruits. Hence, 3 guavas + 4 mangoes & 7 guavas.
  3. No. 7m and 2n are unlike terms. Hence, 7m – 2n ≠ 5m.

Std 7 Maths Digest

Practice Set 30 Class 7 Answers Chapter 6 Indices Maharashtra Board

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 30 Answers Solutions Chapter 6 Indices.

Indices Class 7 Maths Chapter 6 Practice Set 30 Solutions Maharashtra Board

Std 7 Maths Practice Set 30 Solutions Answers

Question 1.
Find the square root:
i. 625
ii. 1225
iii. 289
iv. 4096
v. 1089
Solution:
i. 625
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 1
∴ 625 = 5 x 5 x 5 x 5
∴ √625 = 5 x 5 = 25

ii. 1225
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 2
∴ 1225 = 5 x 5 x 7 x 7
∴ √1225 = 5 x 7 = 35

iii. 289
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 3
∴ 289 = 17 x 17
∴ √289 = 17

iv. 4096
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 4
∴ 4096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
∴ √4096 = 2 x 2 x 2 x 2 x 2 x 2
= 64

v. 1089
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 5
∴ 1089 = 3 x 3 x 11 x 11
∴ √1089 = 3 x 11
= 33

Maharashtra Board Class 7 Maths Chapter 6 Indices Practice Set 30 Intext Questions and Activities

Question 1.
Try to write the following numbers in the standard form. (Textbook pg. no. 48)
i. The diameter of Sun is 1400000000 m.
ii. The velocity of light is 300000000 m/sec.
Solution:
i. 1400000000 m = 1.4 x 109 m
ii. 300000000 m/s = 3.0 x 108 m/sec.

Question 2.
The box alongside shows the number called Googol. Try to write it as a power of 10. (Textbook pg. no. 48)
Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 30 6
Solution:
1 x 10100

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