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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