Algebra Examples

Evaluate $8 + \frac{w}{4}$ when $w = 16$

Step 1

Replace the variable $w$ with $16$ in the expression.

$e v a l u a t e \cdot 8 + \frac{16}{4}$

Step 2

Simplify each term.

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Step 2.1

Multiply $a$ by $a$ by adding the exponents.

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Step 2.1.1

Move $a$ .

$e v (a \cdot a) l u t e \cdot 8 + \frac{16}{4}$

Step 2.1.2

Multiply $a$ by $a$ .

$e v a^{2} l u t e \cdot 8 + \frac{16}{4}$

Step 2.2

Multiply $e v a^{2} l u t e$ .

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Step 2.2.1

Raise $e$ to the power of $1$ .

$v a^{2} l u t (e^{1} e) \cdot 8 + \frac{16}{4}$

Step 2.2.2

Raise $e$ to the power of $1$ .

$v a^{2} l u t (e^{1} e^{1}) \cdot 8 + \frac{16}{4}$

Step 2.2.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$v a^{2} l u t e^{1 + 1} \cdot 8 + \frac{16}{4}$

Step 2.2.4

Add $1$ and $1$ .

$v a^{2} l u t e^{2} \cdot 8 + \frac{16}{4}$

Step 2.3

Move $8$ to the left of $v a^{2} l u t e^{2}$ .

$8 \cdot (v a^{2} l u t e^{2}) + \frac{16}{4}$

Step 2.4

Divide $16$ by $4$ .

$8 v a^{2} l u t e^{2} + 4$