Pre-Algebra Examples

$y = \frac{1}{4} x + 2$

Step 1

Rewrite the equation as $\frac{1}{4} x + 2 = y$ .

$\frac{1}{4} x + 2 = y$

Step 2

Combine $\frac{1}{4}$ and $x$ .

$\frac{x}{4} + 2 = y$

Step 3

Subtract $2$ from both sides of the equation.

$\frac{x}{4} = y - 2$

Step 4

Multiply both sides of the equation by $4$ .

$4 \frac{x}{4} = 4 (y - 2)$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Cancel the common factor of $4$ .

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Step 5.1.1.1

Cancel the common factor.

$4 \frac{x}{4} = 4 (y - 2)$

Step 5.1.1.2

Rewrite the expression.

$x = 4 (y - 2)$

$x = 4 (y - 2)$

$x = 4 (y - 2)$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $4 (y - 2)$ .

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Step 5.2.1.1

Apply the distributive property.

$x = 4 y + 4 \cdot - 2$

Step 5.2.1.2

Multiply $4$ by $- 2$ .

$x = 4 y - 8$

$x = 4 y - 8$

$x = 4 y - 8$

$x = 4 y - 8$

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