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# State which of the following are equations (with a variable). Give 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 \times 3)-19=8 $

**(e)** $ 5 \times 4-8=2 x $

**(f)** $ x-2=0 $

**(g)** $ 2 m<30 $

**(h)** $ 2 n+1=11 $

**(i)** $ 7=(11 \times 5)-(12 \times 4) $

**(j)** $ 7=(11 \times 2)+p $

**(k)** $ 20=5 y $

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

**(m)** $ z+12>24 $

**(n)** $ 20-(10-5)=3 \times 5 $

**(o)** $ 7-x=5 $

To do:

We have to find which of the given expressions are equations (with a variable).

Solutions:

An equation is a statement of equality between two expressions consisting of variables and/or numbers.

(a) \( 17=x+7 \) is an equation with variable $x$.

(b) \( (t-7)>5 \) is an inequality and not an equation.

(c) \( \frac{4}{2}=2 \) is a numerical equation.

(d) \( (7 \times 3)-19=8 \) is a numerical equation.

(e) \( 5 \times 4-8=2 x \) is an equation with variable $x$.

(f) \( x-2=0 \) is an equation with variable $x$.

(g) \( 2 m<30 \) is an inequality and not an equation.

(h) \( 2 n+1=11 \) is an equation with variable $n$.

(i) \( 7=(11 \times 5)-(12 \times 4) \) is a numerical equation.

(j) \( 7=(11 \times 2)+p \) is an equation with variable $p$.

(k) \( 20=5 y \) is an equation with variable $y$.

(1) \( \frac{3 q}{2}<5 \) is an inequality and not an equation.

(m) \( z+12>24 \) is an inequality and not an equation.

(n) \( 20-(10-5)=3 \times 5 \) is a numerical equation.

(o) \( 7-x=5 \) is an equation with variable $x$.

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