RS Aggarwal Class 6 Math Ninth Chapter Linear Equation In One Variable Exercise 9A Solution

RS Aggarwal Class 6 Math Ninth Chapter Linear Equation In One Variable Exercise 9A Solution

EXERCISE 9A

(1) Write each of the following statements as an equation:

(i) 5 times a number equals 40.

Ans: 5x = 40

(ii) A number increased by 8 equals 15.

Ans: x + 8 = 15

(iii) 25 exceeds a number by 7.

Ans: 25 – x = 7

(iv) A number exceeds 5 by 3.

Ans: x – 5 = 3

(v) 5 subtracted from thrice a number is 16.

Ans: 3x – 5 = 16

(vi) If 12 is subtracted from a number, the result is 24.

Ans: x – 12 = 24

(vii) Twice a number subtracted from 19 is 11.

Ans: 19 – 2x = 11

(viii) A number divided by 8 gives 7.

Ans: x8=7

(ix) 3 less than 4 times a number is 17.

Ans: 4x – 3 = 17

(x) 6 times a number is 5 more than the number.

Ans: 6x = x + 5

(2) Write a statement for each of the equations, given below:

(i) x-7=14

Ans: 7 less from the number x is 14.

(ii) 2y=18

Ans: Twice the number y is 18.

(iii) 11+3x=17

Ans: 11 increased by thrice the number x is 17.

(iv) 2x-3=13

Ans: 3 less from twice the number x is 13.

(v) 12y-30=6

Ans: 12 times the number y decreased by 30 is 6.

vi x3=4

Ans: Twice the number z divided by 3 is 8.

(3) Verify by substitution that

(i) The root of 3x-5=7 is x=4

Solution: L. H. S: 3x-5

=3×4-5

=12-5

=7=R.H.S (proved)

(ii) The root of 3+2x=9 is x=3

Solution: L. H, S: 3+2x

=3+2×3

=3+6

=9 R.H.S (proved)

(iii) The root of 5x-8=2x-2 is x=2

Solution: L.H.S: 5x-8

=5×2-8

=10-8

=2

R.H.S: 2x-2

=2×2-2

=4-2

=2

L.H.S = R.H.S (proved)

(iv) The root of 8-7y=1 is y=1

Solution: L.H.S: 8-7y

=8-7×1

=8-7

=1=R.H.S (proved)


(4) Solve each of the following equations by the trial-and-error method:

(i) y+9=13

Solution: y+9=13

or, y=13-9

or, y=4

(ii) x-7=10

Solution: x-7=10

or, x=10+7

or, x=17




(ix) 2y+4=3y

Solution: 2y+4=3y

or, 3y-2y=4

or, y=4

(x) z-3=2z-5

Solution: z-3=2z-5

or, 2z-z=-3+5

or, z=2

 

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4 Comments

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  1. So easy superb

  2. veeerrrrryyyyyyyy nicee

  3. What is the meaning of LHS and RHS

  4. Meaning is lhs is left hand side and rhs is right hand side

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