Balbharati solutions for एकात्मिक ७ इयत्ता भाग २ [इंग्रजी माध्यम] महाराष्ट्र राज्य शिक्षण मंडळ chapter 8 - Algebraic Expressions and Operations on them [2023 edition]

Add:

9p + 16q; 13p + 2q

Add:

2a + 6b + 8c; 16a + 13c + 18b

Add:

13x² − 12y²; 6x² − 8y²

Add:

17a²b² + 16c; 28c − 28a²b²

Add:

3y² − 10y + 16; 2y − 7

Add:

−3y² + 10y − 16; 7y² + 8

Subtract the second expression from the first.

(4xy − 9z); (3xy − 16z)

Subtract the second expression from the first.

(5x + 4y + 7z); (x + 2y + 3z)

Subtract the second expression from the first.

(14x² + 8xy + 3y²); (26x² − 8xy − 17y²)

Subtract the second expression from the first.

(6x² + 7xy + 16y²); (16x² − 17xy)

Subtract the second expression from the first.

Multiply:

16xy × 18xy

Multiply:

23xy² × 4yz²

Multiply:

(12a + 17b) × 4c

Multiply:

(4x + 5y) × (9x + 7y)

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

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

Solve the following equation.

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

Solve the following equation.

10 = 2y + 5

Solve the following equation.

5​m − 4 = 1

Solve the following equation.

6x − 1 = 3x + 8

Solve the following equation.

2(x − 4) = 4x + 2

Solve the following equation.

5(x + 1) = 74

Solve the following.

(−16) × (−5)

Solve the following.

(72) ÷ (−12)

Solve the following.

(−24) × (2)

Solve the following.

125 ÷ 5

Solve the following.

(−104) ÷ (−13)

Solve the following.

25 × (−4)

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

75, 135

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

114, 76

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

153, 187

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

32, 24, 48

Simplify:

`322/391`

Simplify:

`247/209`

Simplify:

`117/156`

Find the square root of the following number.

784

Find the square root of the following number.

225

Find the square root of the following number.

1296

Find the square root of the following number.

2025

Find the square root of the following number.

256

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.

Simplify the expression.

45 ÷ 5 + 20 × 4 − 12

Simplify the expression.

(38 − 8) × 2 ÷ 5 + 13

Simplify the expression.

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

Simplify the expression.

3 × {4 [85 + 5 − (15 ÷ 3)] + 2}

Solve:

`5/12 + 7/16`

Solve:

`3 2/5 - 2 1/4`

Solve:

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

Solve:

`4 3/8 div 25/18`

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

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

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

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

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

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

35^° 

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

 a° 

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

22°

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

(40 - x)°

Find the measure of the supplement of the following angle.

111°

Find the measure of the supplements of the following angle.

47°

Find the measure of the supplements of the following angle.

180°

Find the measure of the supplements of the following angle.

(90 − x)°

Construct a pair of adjacent angles.

Construct the two supplementary angles which are not adjacent angles.

Construct a pair of adjacent complementary angles.

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

Simplify:

5⁴ × 5³

Simplify:

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

Simplify:

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

Simplify:

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

Find the value of 17¹⁶ ÷ 17¹⁶.

Find the value of 10⁻³.

Find the value of (2³)².

Find the value of 4⁶ × 4⁻⁴.

Solve:

(6a − 5b − 8c) + (15b + 2a − 5c)

Solve:

(3x + 2y)(7x − 8y)

Solve:

(7m − 5n) − (−4n − 11m)

Solve:

(11m − 12n + 3p) − (9m + 7n − 8p)

Solve the following equation.

4(​x + 12) = 8

Solve the following equation.

3y + 4 = 5y − 6

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

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

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

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

Which of the following expressions has the value 37?