Practice test on linear equations

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 

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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