# Linear equations in One variable class 8 important questions

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Question 1:
Solve the following linear equations
a. $x-11=7$
b. $z+8=9$
c. $11x=121$

a. $x-11=7$
$x = 7 + 11 =18$

b. $z+8=9$
$z = 9-8$
$z=1$

c. $11x =121$
$x= \frac {121}{11}$
$x=11$

Question 2:
Solve:
$\frac {y}{11} = 11$

$\frac {y}{11} = 11$
$y = 11 \times 11$
y=121

Question 3:
Solve
$\frac {23x}{2}= 46$

$\frac {23x}{2}= 46$
$23x = 46 \times 2$
$23x = 92$
$x = \frac {92}{23}$
x=4

Question 4:
Solve:
$1.2= \frac {z}{1.4}$

$1.2= \frac {z}{1.4}$
or
$\frac {z}{1.4}=1.2$
$z = 1.4 \times 1.2$
z=1.68

Question 5:

Solve:
$7x-12=16$

$7x-12=16$
$7x = 16 + 12$
$7x = 28$
$x = \frac {28}{7}$
$x= 4$

Question 6
Solve:
$7z-5=16$

$7z-5=16$
$7z = 16 +5$
$7z = 21$
$z= \frac {21}{7}$
$z=3$

Question 7:
Solve:
$10+6p=22$

$10+6p=22$
$6p = 22 -10$
$6p = 12$
$p = \frac {12}{6}$
$p=2$

Question 8
Solve
$11-5x+3x+4x=18$

$11-5x+3x+4x=18$
$11- 5x + 7x=18$
$11 +2x =18$
$2x=18-11$
$2x=7$
$x = \frac {7}{2}$

Question 9
Solve
$(x-2)+(x-3) +(x-9)= 1$

$(x-2)+(x-3) +(x-9)= 1$
$x-2 + x-3 + x-9=1$
$3x -14 =1$
$3x=1+14$
$3x= 15$
$x= \frac {15}{3}$
x=5

Question 10
Solve
$(2x-2)+(3x-3) +(9x-9)= 1$

$(2x-2)+(3x-3) +(9x-9)= 1$
$2x- 2 + 3x -3 + 9x -9 =1$
$14 x -14 =1$
$14x = 1 + 14$
$14x = 15$
$x = \frac {15}{14}$

## Summary

This Linear equations in One variable class 8 important questions is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail. You can download this also using the below link