Pre-Algebra Examples

$x - \frac{3}{4} = \frac{1}{2}$

Step 1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1

Add $\frac{3}{4}$ to both sides of the equation.

$x = \frac{1}{2} + \frac{3}{4}$

Step 1.2

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x = \frac{1}{2} \cdot \frac{2}{2} + \frac{3}{4}$

Step 1.3

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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Step 1.3.1

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$x = \frac{2}{2 \cdot 2} + \frac{3}{4}$

Step 1.3.2

Multiply $2$ by $2$ .

$x = \frac{2}{4} + \frac{3}{4}$

Step 1.4

Combine the numerators over the common denominator.

$x = \frac{2 + 3}{4}$

Step 1.5

Add $2$ and $3$ .

$x = \frac{5}{4}$

Step 2

Since $x = \frac{5}{4}$ is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ \frac{5}{4} & 0 \\ \frac{5}{4} & 1 \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ \frac{5}{4} & 0 \\ \frac{5}{4} & 1 \end{array}$

Step 5