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Formula

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Algebra and Trigonometry

Definition

A formula is a mathematical expression that relates variables and constants using algebraic operations. Formulas are used to solve problems by substituting known values into the equation.

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5 Must Know Facts For Your Next Test

  1. A formula can be rearranged to solve for any variable within it.
  2. The quadratic formula, $x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$, is essential for solving quadratic equations.
  3. In trigonometry, the Pythagorean theorem formula is $a^2 + b^2 = c^2$ which relates the sides of a right triangle.
  4. The slope-intercept form of a linear equation is $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept.
  5. Formulas can be derived from functions and function notation, such as $f(x) = x^2 + 3x - 4$.

Review Questions

  • What does the quadratic formula solve?
  • How do you use the slope-intercept form to find the slope of a line?
  • What relationship does the Pythagorean theorem describe in a right triangle?
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