Q20. - Algebra 1

Question

Solve each equation

$\mathit{w}\mathbf{=}\mathbf{56}\mathbf{÷}\mathbf{(}{\mathbf{2}}^{\mathbf{2}}\mathbf{+}\mathbf{3}\mathbf{)}$

Step-by-Step Solution

Answer

The value of w is 8.

Step 1. Definition.

Equation: An equation is a mathematical statement that two expressions are equal. An equation will always contain an equal sign with an expression on each side.

Step 2. Order of Operations.

BODMAS

B – Brackets First

O – Orders (i.e. Powers and Square Roots etc.)

D – Division

M – Multiplication

A – Addition

S – Subtraction

Step 3. Apply Addition Property of Equality.

$w=56÷(2^2+3)$ Original equation

First, we do operations in the bracket

Inside brackets, evaluate powers.

$\Rightarrow w=56÷(4+3)$

Add the numbers inside the bracket

$\Rightarrow w=56÷\left(7\right)$

Divide 56 by 7, we get

$\Rightarrow w=8$

Thus, the value of w is 8