Pre-Algebra Examples

 $\begin{array}{r} b = & x \\ h = & 5 - 6 x \end{array}$

Step 1

The area of a triangle is equal to $\frac{1}{2}$ the base times the height.

$\frac{1}{2} \cdot (b a s e) \cdot (h e i g h t)$

Step 2

Substitute the values of the base $b = x$ and height $h = 5 - 6$ into the formula for the area of a triangle.

$\frac{1}{2} x \cdot 5 - 6$

Step 3

Simplify each term.

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Step 3.1

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} \cdot 5 - 6$

Step 3.2

Combine $\frac{x}{2}$ and $5$ .

$\frac{x \cdot 5}{2} - 6$

Step 3.3

Move $5$ to the left of $x$ .

$\frac{5 x}{2} - 6$

$\frac{5 x}{2} - 6 x^{2}$