Pre-Algebra Examples

$g (x) = 3 (\frac{3}{4} x + 3) + 4$

Step 1

Rewrite the function as an equation.

$y = 3 (\frac{3}{4} x + 3) + 4$

Step 2

Simplify $3 (\frac{3}{4} x + 3) + 4$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Combine $\frac{3}{4}$ and $x$ .

$y = 3 (\frac{3 x}{4} + 3) + 4$

Step 2.1.2

Apply the distributive property.

$y = 3 \frac{3 x}{4} + 3 \cdot 3 + 4$

Step 2.1.3

Multiply $3 \frac{3 x}{4}$ .

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Step 2.1.3.1

Combine $3$ and $\frac{3 x}{4}$ .

$y = \frac{3 (3 x)}{4} + 3 \cdot 3 + 4$

Step 2.1.3.2

Multiply $3$ by $3$ .

$y = \frac{9 x}{4} + 3 \cdot 3 + 4$

$y = \frac{9 x}{4} + 3 \cdot 3 + 4$

Step 2.1.4

Multiply $3$ by $3$ .

$y = \frac{9 x}{4} + 9 + 4$

$y = \frac{9 x}{4} + 9 + 4$

Step 2.2

Add $9$ and $4$ .

$y = \frac{9 x}{4} + 13$

$y = \frac{9 x}{4} + 13$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$