S.chand Class 8 Maths Solution Chapter 7 Linear Equations Exercise 7 A

 Exercise 7 A

Solve the following equations and check your answer:

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Q1 | Ex-7A | Class 8 | SChand Composite Maths | Linear Equations | myhelper

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Question 1

(i) $10 p-(3 p-4)=4(p+1)+9$

(ii) $7+2(a+1)-3 a=5 a$

(iii) $4(x+3)-2(x-1)=3 x+3$

Sol :

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Question 2

(i) $\frac{x}{3}-5=8$

(ii) $\frac{t+8}{3}=t$

Sol :

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Question 3

(i) $4 y+\frac{y}{5}=21$

(ii) $\frac{2 m}{3}+\frac{3 m}{4}=17$

Sol :

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Question 4

$\frac{2}{3}\left(x+\frac{3}{5}\right)=\frac{7}{2}$

Sol :

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Question 5

$\frac{x+3}{7}-\frac{2 x-5}{3}=\frac{3 x-5}{5}-25$

Sol :

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Question 6

$\frac{3 x-2}{10}-\frac{x+3}{7}+\frac{4 x-7}{3}=x-1$

Sol :

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Question 7

$2.8 v=54+v$

Sol :

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Question 8

$0.26 x+0.09 x=8-0.45 x$

Sol :

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Question 9

$\frac{1}{6}(4 y+5)-\frac{2}{3}(2 y+7)=\frac{3}{2}$

Sol :

Solve the following equations :

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Question 10

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$\frac{3}{x+1}=\frac{5}{2 x}$

Sol :

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Question 11

$\frac{6}{3 m+1}=\frac{9}{5 m-3}$

Sol :

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Question 12

$\frac{2 x+3}{5}=\frac{4 x+9}{11}$

Sol :

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Question 13

$\frac{5 x-7}{3 x}=2$

Sol :

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Question 14

$\frac{0.4 z-3}{1.5 z+9}=\frac{7}{5}$

Sol :

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Question 15

$\frac{x-2}{x-4}=\frac{x+4}{x-2}$

Sol :

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Question 16

$\frac{y-2}{y-5}=\frac{y+3}{y+5}$

Sol :

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Question 17

$\frac{2 y-4}{3 y+2}=-\frac{2}{3}\left(\right.$ Hint. Write $-\frac{2}{3}$ as $\left.\frac{-2}{3}\right)$

Sol :

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Question 18

$\frac{\frac{x}{4}-\frac{3}{5}}{\frac{4}{3}-7 x}=-\frac{3}{20}$

Sol :

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Question 19

$\frac{(2 x+3)-(5 x-7)}{6 x+11}=\frac{-8}{3}$

Sol :

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Question 20

$\frac{17(2-x)-5(x+12)}{1-7 x}=8$

Sol :

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Question 21

$\frac{(4+x)(5-x)}{(2+x)(7-x)}=1$

Sol :

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Question 22

$\frac{x^{2}-(x+1)(x+2)}{5 x+1}=6$

Sol :

Multiple Choice Questions (MCQs)

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Question 23

If $\frac{x+3}{2}-\frac{3 x+1}{4}=\frac{2(x-2)}{3}-2$, then the value of $x$ is

(a) $\frac{61}{11}$

(b) 5

(c) $-5$

(d) $-\frac{61}{11}$

Sol :

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Question 24

The solution of $\frac{2 x+3}{2 x-1}=\frac{3 x-1}{3 x+1}$ is

(a) $\frac{1}{8}$

(b) $-\frac{1}{8}$

(c) $\frac{8}{3}$

(d) $\frac{-8}{3}$

Sol :

High Order Thinking Skills (HOTS)

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Question 25

Solve and give the positive value of $x$ which satisfies the given equation :

$(2 x+4)^{2}-(x-5)^{2}=26 x$

Sol :