Algebra Examples

Evaluate $5 - \frac{t}{3}$ when $t = 12$

Step 1

Replace the variable $t$ with $12$ in the expression.

$e v a l u a (12) \cdot e \cdot 5 - \frac{12}{3}$

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 $a$ .

$e v (a \cdot a) l u \cdot 12 \cdot e \cdot 5 - \frac{12}{3}$

Step 2.1.2

Multiply $a$ by $a$ .

$e v a^{2} l u \cdot 12 \cdot e \cdot 5 - \frac{12}{3}$

Step 2.2

Move $12$ to the left of $e v a^{2} l u$ .

$12 \cdot (e v a^{2} l u) \cdot e \cdot 5 - \frac{12}{3}$

Step 2.3

Multiply $12 e v a^{2} l u e$ .

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Step 2.3.1

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

$12 v a^{2} l u (e^{1} e) \cdot 5 - \frac{12}{3}$

Step 2.3.2

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

$12 v a^{2} l u (e^{1} e^{1}) \cdot 5 - \frac{12}{3}$

Step 2.3.3

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

$12 v a^{2} l u e^{1 + 1} \cdot 5 - \frac{12}{3}$

Step 2.3.4

Add $1$ and $1$ .

$12 v a^{2} l u e^{2} \cdot 5 - \frac{12}{3}$

Step 2.4

Multiply $5$ by $12$ .

$60 v a^{2} l u e^{2} - \frac{12}{3}$

Step 2.5

Divide $12$ by $3$ .

$60 v a^{2} l u e^{2} - 1 \cdot 4$

Step 2.6

Multiply $- 1$ by $4$ .

$60 v a^{2} l u e^{2} - 4$