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Maharashtra State BoardSSC (English Medium) 7th Standard

Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड chapter 8 - Algebraic Expressions and Operations on them [Latest edition]

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Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड chapter 8 - Algebraic Expressions and Operations on them - Shaalaa.com
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Solutions for Chapter 8: Algebraic Expressions and Operations on them

Below listed, you can find solutions for Chapter 8 of Maharashtra State Board Balbharati for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड.


Practice Set 32Practice Set 33Practice Set 34Practice Set 35Practice Set 36Miscellaneous Problems: Set 1Multiple Choice Questions
Practice Set 32 [Page 69]

Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड 8 Algebraic Expressions and Operations on them Practice Set 32 [Page 69]

(i)Page 69
Classify the following algebraic expression as monomial, binomial, trinomial, or polynomial.
7x
  • Monomial

  • Binomial

  • Trinomial

  • Polynomial

(ii)Page 69
Classify the following algebraic expression as monomial, binomial, trinomial, or polynomial.
5y − 7z
  • Monomial

  • Binomial

  • Trinomial

  • Polynomial

(iii)Page 69
Classify the following algebraic expression as monomial, binomial, trinomial, or polynomial.
3x3 − 5x2 − 11
  • Monomial

  • Binomial

  • Trinomial

  • Polynomial

(iv)Page 69
Classify the following algebraic expression as monomial, binomial, trinomial, or polynomial.
1 − 8a − 7a2 − 7a3
  • Monomial

  • Binomial

  • Trinomial

  • Polynomial

(v)Page 69
Classify the following algebraic expression as monomial, binomial, trinomial, or polynomial.
5m − 3
  • Monomial

  • Binomial

  • Trinomial

  • Polynomial

(vi)Page 69
Classify the following algebraic expression as monomial, binomial, trinomial, or polynomial.
a
  • Monomial

  • Binomial

  • Trinomial

  • Polynomial

(vii)Page 69
Classify the following algebraic expression as monomial, binomial, trinomial, or polynomial.
4
  • Monomial

  • Binomial

  • Trinomial

  • Polynomial

(viii)Page 69
Classify the following algebraic expression as monomial, binomial, trinomial, or polynomial.
3y2 − 7y + 5
  • Monomial

  • Binomial

  • Trinomial

  • Polynomial

Practice Set 33 [Page 70]

Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड 8 Algebraic Expressions and Operations on them Practice Set 33 [Page 70]

(i)Page 70

Add:

9p + 16q; 13p + 2q

(ii)Page 70

Add:

2a + 6b + 8c; 16a + 13c + 18b

(iii)Page 70

Add:

13x2 − 12y2; 6x2 − 8y2

(iv)Page 70

Add:

17a2b+ 16c; 28c − 28a2b2

(v)Page 70

Add:

3y2 − 10y + 16; 2y − 7

(vi)Page 70

Add:

−3y2 + 10y − 16; 7y+ 8

Practice Set 34 [Page 71]

Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड 8 Algebraic Expressions and Operations on them Practice Set 34 [Page 71]

(i)Page 71

Subtract the second expression from the first.

(4xy − 9z); (3xy − 16z)

(ii)Page 71

Subtract the second expression from the first.

(5x + 4y + 7z); (x + 2y + 3z)

(iii)Page 71

Subtract the second expression from the first.

(14x+ 8xy + 3y2); (26x2 − 8xy − 17y2)

(iv)Page 71

Subtract the second expression from the first.

(6x2 + 7xy + 16y2); (16x2 − 17xy)

(v)Page 71

Subtract the second expression from the first.

(4x + 16z); (19y − 14z + 16x)
Practice Set 35 [Page 72]

Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड 8 Algebraic Expressions and Operations on them Practice Set 35 [Page 72]

1. (i)Page 72

Multiply:

16xy × 18xy

1. (ii)Page 72

Multiply:

23xy× 4yz2

1. (iii)Page 72

Multiply:

(12a + 17b) × 4c

1. (iv)Page 72

Multiply:

(4x + 5y) × (9x + 7y)

2.Page 72

A rectangle is (8x + 5) cm long and (5x + 3) cm broad. Find its area.

Practice Set 36 [Page 73]

Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड 8 Algebraic Expressions and Operations on them Practice Set 36 [Page 73]

1.Page 73

Simplify (3x − 11y) − (17x  + 13y) and choose the right answer.

  • 7x − 12y

  • −4x − 54y

  • −3 (5x + 4y)

  • −2 (7x + 12y)

2.Page 73

The product of (23x2y3z) and (−15x3yz2) is ______.

  • −345x5y4z3

  • 345x2y3z5

  • 145x3y2z

  • 170x3y2z3

3. (i)Page 73

Solve the following equation.

`4"x"+1/2=9/2`

3. (ii)Page 73

Solve the following equation.

10 = 2y + 5

3. (iii)Page 73

Solve the following equation.

5​m − 4 = 1

3. (iv)Page 73

Solve the following equation.

6x − 1 = 3x + 8

3. (v)Page 73

Solve the following equation.

2(x − 4) = 4x + 2

3. (vi)Page 73

Solve the following equation.

5(x + 1) = 74

4.Page 73

Rakesh’s age is less than Sania’s age by 5 years. The sum of their ages is 27 years. How old are they?

5.Page 73

When planting a forest, the number of jambhul trees planted was greater than the number of Ashoka trees by 60. If there are altogether 200 trees of these two types, how many jambhul trees were planted?

6.Page 73

Shubhangi has twice as many 20-rupee notes as she has 50-rupee notes. Altogether, she has 2700 rupees. How many 50-rupee notes does she have?

7.Page 73

Virat made twice as many runs as Rohit. The total of their scores is 2 less than a double century. How many runs did each of them make?

Miscellaneous Problems: Set 1 [Pages 74 - 75]

Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड 8 Algebraic Expressions and Operations on them Miscellaneous Problems: Set 1 [Pages 74 - 75]

1. (i)Page 74

Solve the following.

(−16) × (−5)

1. (ii)Page 74

Solve the following.

(72) ÷ (−12)

1. (iii)Page 74

Solve the following.

(−24) × (2)

1. (iv)Page 74

Solve the following.

125 ÷ 5

1. (v)Page 74

Solve the following.

(−104) ÷ (−13)

1. (vi)Page 74

Solve the following.

25 × (−4)

2. (i)Page 74

Find the prime factor of the following numbers and find their LCM and HCF.

75, 135

2. (ii)Page 74

Find the prime factor of the following numbers and find their LCM and HCF.

114, 76

2. (iii)Page 74

Find the prime factor of the following numbers and find their LCM and HCF.

153, 187

2. (iv)Page 74

Find the prime factor of the following numbers and find their LCM and HCF.

32, 24, 48

3. (i)Page 74

Simplify:

`322/391`

3. (ii)Page 74

Simplify:

`247/209`

3. (iii)Page 74

Simplify:

`117/156`

4. (i)Page 74

Find the square root of the following number.

784

4. (ii)Page 74

Find the square root of the following number.

225

4. (iii)Page 74

Find the square root of the following number.

1296

4. (iv)Page 74

Find the square root of the following number.

2025

4. (v)Page 74

Find the square root of the following number.

256

5.Page 74

There are four polling booths for a certain election. The numbers of men and women who cast their vote at each booth is given in the table below. Draw a joint bar graph for this data.

Polling Booths Navodaya
Vidyalaya
Vidyaniketan
School
City High School Eklavya School
Women 500 520 680 800
Men 440 640 760 600
6. (i)Page 74

Simplify the expression.

45 ÷ 5 + 20 × 4 − 12

6. (ii)Page 74

Simplify the expression.

(38 − 8) × 2 ÷ 5 + 13

6. (iii)Page 74

Simplify the expression.

`5/3 + 4/7 div 32/21`

6. (iv)Page 74

Simplify the expression.

3 × {4 [85 + 5 − (15 ÷ 3)] + 2}

7. (i)Page 74

Solve:

`5/12 + 7/16`

7. (ii)Page 74

Solve:

`3 2/5 - 2 1/4`

7. (iii)Page 74

Solve:

`12/5 xx ((-10))/3`

7. (iv)Page 74

Solve:

`4 3/8 div 25/18`

8.Page 74

Construct ∆ABC such that m∠A = 55°, m∠B = 60°, and l(AB) = 5.9 cm. 

9.Page 74

Construct ∆XYZ such that l(XY) = 3.7 cm, l(YZ) = 7.7 cm, l(XZ) = 6.3 cm.

10Page 74

Construct ∆PQR such that m∠P = 80°, m∠Q = 70°, l(QR) = 5.7 cm.

11.Page 74

Construct ∆EFG from the given measures. l(FG) = 5 cm, m∠EFG = 90°, l(EG) = 7 cm.

12.Page 74

In ∆LMN, l(LM) = 6.2 cm, m∠LMN = 60°, l(MN) = 4 cm. Construct ∆LMN.

13. (i)Page 74

Find the measures of the complementary angle of the following angle.

35° 

13. (ii)Page 74

Find the measures of the complementary angle of the following angle.

 a° 

13. (iii)Page 74

Find the measure of the complementary angle of the following angle.

22°

13. (iv)Page 74

Find the measure of the complementary angle of the following angle.

(40 - x)°

14. (i)Page 74

Find the measure of the supplement of the following angle.

111°

14. (ii)Page 74

Find the measure of the supplements of the following angle.

47°

14. (iii)Page 74

Find the measure of the supplements of the following angle.

180°

14. (iv)Page 74

Find the measure of the supplements of the following angle.

(90 − x)°

15. (i)Page 74

Construct a pair of adjacent angles.

15. (ii)Page 74

Construct the two supplementary angles which are not adjacent angles.

15. (iii)Page 74

Construct a pair of adjacent complementary angles.

16.Page 75

In ∆PQR, the measures of ∠P and ∠Q are equal and m∠PRQ = 70°. Find the measures of the following angles.

  1. m∠PRT
  2. m∠P
  3. m∠Q
17. (i)Page 75

Simplify:

54 × 53

17. (ii)Page 75

Simplify:

`(2/3)^6 div (2/3)^9`

17. (iii)Page 75

Simplify:

`(7/2)^8 xx (7/2)^-6`

17. (iv)Page 75

Simplify:

`(4/5)^2 div (5/4)`

18. (i)Page 75

Find the value of 1716 ÷ 1716.

18. (ii)Page 75

Find the value of 10−3.

18. (iii)Page 75

Find the value of (23)2.

18. (iv)Page 75

Find the value of 46 × 44.

19. (i)Page 75

Solve:

(6a − 5b − 8c) + (15b + 2a − 5c)

19. (ii)Page 75

Solve:

(3x + 2y)(7x − 8y)

19. (iii)Page 75

Solve:

(7m − 5n) − (−4n − 11m)

19. (iv)Page 75

Solve:

(11m − 12n + 3p) − (9m + 7n − 8p)

20. (i)Page 75

Solve the following equation.

4(​x + 12) = 8

20. (ii)Page 75

Solve the following equation.

3y + 4 = 5y − 6

Multiple Choice Questions [Page 75]

Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड 8 Algebraic Expressions and Operations on them Multiple Choice Questions [Page 75]

Choose the right answer from the options given after every question.

1.Page 75

The three angle bisectors of a triangle are concurrent. Their point of concurrence is called the ______.

  • Circumcentre

  • Apex

  • Incentre

  • Point of intersection

2.Page 75

`[(3/7)^-3]^4` = ______

  • `(3/7)^-7`

  • `(3/7)^-10`

  • `(7/3)^12`

  • `(3/7)^20`

3.Page 75

The simplest form of 5 ÷ `(3/2) - 1/3` is ______.

  • 3

  • 5

  • 0

  • `1/3`

4.Page 75

The solution of the equation `"3x" - 1/2 = 5/2 + "x"` is ______.

  • `5/3`

  • `7/2`

  • 4

  • `3/2`

5.Page 75

Which of the following expressions has the value 37?

  • 10 × 3 + (5 + 2)

  • 10 × 4 + (5 - 3)

  • 8 × 4 + 3

  • (9 × 3) + 2

Solutions for 8: Algebraic Expressions and Operations on them

Practice Set 32Practice Set 33Practice Set 34Practice Set 35Practice Set 36Miscellaneous Problems: Set 1Multiple Choice Questions
Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड chapter 8 - Algebraic Expressions and Operations on them - Shaalaa.com

Balbharati solutions for मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड chapter 8 - Algebraic Expressions and Operations on them

Shaalaa.com has the Maharashtra State Board Mathematics मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Balbharati solutions for Mathematics मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड Maharashtra State Board 8 (Algebraic Expressions and Operations on them) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Balbharati textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड chapter 8 Algebraic Expressions and Operations on them are Addition of Algebraic Expressions, Subtraction of Algebraic Expressions, Multiplication of Algebraic Expressions, Classification of Terms in Algebra, Multiplying Monomial by Monomials, Multiplying a Monomial by a Binomial, Multiplying a Binomial by a Binomial, Terms, Factors and Coefficients of Expression, Algebraic Expressions, Methods of Solving Differential Equations> Variable Separable Differential Equations.

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Get the free view of Chapter 8, Algebraic Expressions and Operations on them मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड additional questions for Mathematics मैथमैटिक्स इंटेगरटेड [अंग्रेजी] कक्षा ७ महाराष्ट्र स्टेट बोर्ड Maharashtra State Board, and you can use Shaalaa.com to keep it handy for your exam preparation.

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