Ncert solutions

Ncert solutions

Grade 6

Algebra | Exercise 11.5

Question 1

Q1) State which of the following are equations (with a variable). Given the reason for your answer. Identify the variable from the equations with a variable.

(a) 17=x+7

(b) (t–7)>5

(c) \frac{4}{2}=2

(d) (7×3)–19=8

(e) 5×4–8=2x

(f) x–2=0

(g) 2m<30

(h) 2n+1=11

(i) 7=(11×5)–(12×4)

(j) 7=(11×2)+p

(k) 20=5y

(l) \frac{3q}{2}<5

(m) z+12>24

(n) 20–(10–5)=3×5

(o) 7–x=5

Solution:

(a) It is an equation of variable as both sides are equal. The variable is x.

(b) It is not an equation as L.H.S. is greater than R.H.S.

(c) It is an equation with no variable. But it is a false equation.

(d) It is an equation with no variable. But it is a false equation.

(e) It is an equation of variable as both sides are equal. The variable is x.

(f) ) It is an equation of variable x.

(g) It is not an equation as L.H.S. is less than R.H.S.

(h) It is an equation of variable as both sides are equal. The variable is n.

(i) It is an equation with no variable as both sides are equal.

(j) It is an equation of variable p.

(k) It is an equation of variable y.

(l) It is not an equation as L.H.S. is less than R.H.S.

(m) It is not an equation as L.H.S. is greater than R.H.S.

(n) It is an equation with no variable.

(o) It is an equation of variable x.

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Question 1

Q1) State which of the following are equations (with a variable). Given the reason for your answer. Identify the variable from the equations with a variable.

(a) 17=x+7

(b) (t–7)>5

(c) \frac{4}{2}=2

(d) (7×3)–19=8

(e) 5×4–8=2x

(f) x–2=0

(g) 2m<30

(h) 2n+1=11

(i) 7=(11×5)–(12×4)

(j) 7=(11×2)+p

(k) 20=5y

(l) \frac{3q}{2}<5

(m) z+12>24

(n) 20–(10–5)=3×5

(o) 7–x=5

Solution:

(a) It is an equation of variable as both sides are equal. The variable is x.

(b) It is not an equation as L.H.S. is greater than R.H.S.

(c) It is an equation with no variable. But it is a false equation.

(d) It is an equation with no variable. But it is a false equation.

(e) It is an equation of variable as both sides are equal. The variable is x.

(f) ) It is an equation of variable x.

(g) It is not an equation as L.H.S. is less than R.H.S.

(h) It is an equation of variable as both sides are equal. The variable is n.

(i) It is an equation with no variable as both sides are equal.

(j) It is an equation of variable p.

(k) It is an equation of variable y.

(l) It is not an equation as L.H.S. is less than R.H.S.

(m) It is not an equation as L.H.S. is greater than R.H.S.

(n) It is an equation with no variable.

(o) It is an equation of variable x.

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