Exercise 7 A
Solve the following equations and check your answer:
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 :
Question 2
(i) $\frac{x}{3}-5=8$
(ii) $\frac{t+8}{3}=t$
Sol :
Question 3
(i) $4 y+\frac{y}{5}=21$
(ii) $\frac{2 m}{3}+\frac{3 m}{4}=17$
Sol :
OPEN IN YOUTUBE
Question 4
$\frac{2}{3}\left(x+\frac{3}{5}\right)=\frac{7}{2}$
Sol :
Question 5
$\frac{x+3}{7}-\frac{2 x-5}{3}=\frac{3 x-5}{5}-25$
Sol :
Question 6
$\frac{3 x-2}{10}-\frac{x+3}{7}+\frac{4 x-7}{3}=x-1$
Sol :
Question 7
$2.8 v=54+v$
Sol :
Question 8
$0.26 x+0.09 x=8-0.45 x$
Sol :
Question 9
$\frac{1}{6}(4 y+5)-\frac{2}{3}(2 y+7)=\frac{3}{2}$
Sol :
Solve the following equations :
$\frac{3}{x+1}=\frac{5}{2 x}$
Sol :
Question 11
$\frac{6}{3 m+1}=\frac{9}{5 m-3}$
Sol :
Question 12
$\frac{2 x+3}{5}=\frac{4 x+9}{11}$
Sol :
Question 13
$\frac{5 x-7}{3 x}=2$
Sol :
Question 14
$\frac{0.4 z-3}{1.5 z+9}=\frac{7}{5}$
Sol :
Question 15
$\frac{x-2}{x-4}=\frac{x+4}{x-2}$
Sol :
Question 16
$\frac{y-2}{y-5}=\frac{y+3}{y+5}$
Sol :
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 :
Question 18
$\frac{\frac{x}{4}-\frac{3}{5}}{\frac{4}{3}-7 x}=-\frac{3}{20}$
Sol :
Question 19
$\frac{(2 x+3)-(5 x-7)}{6 x+11}=\frac{-8}{3}$
Sol :
Question 20
$\frac{17(2-x)-5(x+12)}{1-7 x}=8$
Sol :
Question 21
$\frac{(4+x)(5-x)}{(2+x)(7-x)}=1$
Sol :
Question 22
$\frac{x^{2}-(x+1)(x+2)}{5 x+1}=6$
Sol :
Multiple Choice Questions (MCQs)
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 :
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)
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 :
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