Here, you will get practice questions for linear equations that you can solve to check your problem-solving skill . This test contains MCQ-type questions, one-word or fills in blanks-type questions, etc. So, try to solve these problems with the timer and check your result at last.

Before the test, you can revise through given stuff

- Linear equation in one variable concept
- Framing and solving linear equations from the word problem
- Worksheet on word problem of linear equation

Q.1 Choose the correct option.

(i) If 8x – 3 = 5x – 7

(a) \frac{-2}{3}

(b) \frac{2}{3}

(c) \frac{-4}{3}

(d) \frac{4}{3}

(ii) Find the value of x , if 25x – 19 – [3-(4x-5)]=3x-(6x-5)

(a) x = 1

(b) x = -1

(c) x = \frac{1}{2}

(d) x = 2

(iii) If 7x:63 = 1: 9 ,then x is equal to

(a) 1

(b) 2

(c) 3

(d) -1

(iv) If one number is thrice the other and their sum is 20, then the numbers are

(a) 5, 15

(b) 4,12

(c) 3,9

(iv) None of the above

(v) If \frac{3}{4} x + 3 = 21 ,the value of x is

(a) 8

(b) 24

(c) 27

(d) 21

(vi) In which of the following ,the value of the variable is a negative integer

(a) 23 – 4x = -25 + 4x

(b) \frac{2x}{2} – \frac{x}{2} = 30

(c) 0 = 18 + 9(m-2)

(d) 5(n-3) = -45

Q.2 Fill in the blanks

1. If one number is thrice the other and their sum is 20 ,then the numbers are _

2. If 4 + 3(p – 5)= 9(p-4) ,then p =

3. The sum of 4 times a number and 5 is 49 .The number is _

4. The length of a rectangle is 6 m more than its breadth .If the perimeter of the rectangl is 56 m ,then its length and breath are _ and _ respectively

Q.3 Solve following equations

(i) 7x + 4 = -45

(ii) 6x + 9x = 75

(iii) 12x – 11 = 5x + 3

(iv) 5(m+7)= 40

(v) -5 = 6(p-11) + 8

(vi) 3x – 4 = 2x – 2

(vii) \frac{m}{2} – 1= \frac{m}{3} + 4

(viii) 7x + 2(x + 2) = 20 – (2x – 5)

Answer

Q.1

(i) (c) \frac{-4}{3}

(ii) (a) x = 1

(iii) (a) x = 1

(iv) (a) 5, 15

(v) (b) 24

(vi) (d) 5(n-3) = -45

Q.2

(i) 5 , 15

(ii) \frac{25}{6}

(iii) 11

(iv) 11 and 17

Q.3

(i) x = -7

(ii) x =5

(iii) x =2

(iv) m =1

(v) p = \frac{53}{6}

(vi) x = 2

(vii) m= 30

(viii) x = \frac{21}{11}

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