Q73. - Algebra 1

Question

OPEN-ENDED Write an equation involving addition and demonstrate two ways to solve it.

Step-by-Step Solution

Answer

$x+10=25$

First way: Think of x for which the above equation will be satisfied.

Second way: Subtract 10 from both sides ( Using Subtraction property of equality).

Step 1. Concept of the equation.

A mathematical statement with an 'equal to' symbol between two algebraic expressions (with any arithmetic operations) is known as an equation.

Step 2. Writing an equation having an addition sign.

Let x be an unknown variable.

Such that $x+10=25$

Step 3. The first way to solve.

Think of x for which the above equation will be satisfied.

If we take $x=15$, then

$15+10=25$, thus the equation is satisfied for $x=15$.

Step 4. The second way to solve.

Subtract 10 from both sides, we get

$\begin{array}{l}x=25-10\\ x=15\end{array}$