# 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) $7-x=5$

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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 $x$.

Updated on 10-Oct-2022 13:36:48