Basic Algebra Formulas Flashcards

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Questions and Answers

What is the Quadratic Formula?

  • x = (b² - 4ac) / 2a
  • x = -b / 2a
  • x = ± √(b² - 4ac)
  • x = -b ± √(b² - 4ac) / 2a (correct)

What is the Distance Formula?

√[(x1-x2)² + (y1-y2)²]

What is the formula for the Area of a Circle?

πr²

What is the formula for the Circumference of a Circle?

<p>2(π)r</p> Signup and view all the answers

What is the Slope-Intercept Form?

<p>y = mx + b</p> Signup and view all the answers

What is the Slope Formula?

<p>(y1 - y2) / (x1 - x2)</p> Signup and view all the answers

What is the formula for the Area of a Triangle?

<p>(1/2)bh</p> Signup and view all the answers

What is the Pythagorean Theorem?

<p>a² + b² = c²</p> Signup and view all the answers

What is the formula for the Area of a Rectangle?

<p>bh</p> Signup and view all the answers

What is the formula for the Perimeter of a Rectangle?

<p>b + b + h + h or 2b + 2h</p> Signup and view all the answers

What is the Midpoint Formula?

<p>((x₁ + x₂) / 2), ((y₁ + y₂) / 2)</p> Signup and view all the answers

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Study Notes

Quadratic Formula

  • Used to find the solutions of a quadratic equation.
  • Formula: x = -b ± √(b² - 4ac) / 2a, where a, b, and c are coefficients.

Distance Formula

  • Calculates the distance between two points in a Cartesian plane.
  • Formula: √[(x₁ - x₂)² + (y₁ - y₂)²].

Area of a Circle

  • Measures the space contained within a circle.
  • Formula: A = πr², where r is the radius.

Circumference of a Circle

  • The distance around the edge of a circle.
  • Formula: C = 2πr, where r is the radius.

Slope Intercept Form

  • Represents the equation of a straight line.
  • Formula: y = mx + b, where m is the slope and b is the y-intercept.

Slope Formula

  • Calculates the steepness of a line between two points.
  • Formula: Slope = (y₁ - y₂) / (x₁ - x₂).

Area of a Triangle

  • Determines the space within a triangle.
  • Formula: Area = (1/2)bh, where b is the base and h is the height.

Pythagorean Theorem

  • Relates the lengths of the sides of a right triangle.
  • Formula: a² + b² = c², where c is the hypotenuse.

Area of a Rectangle

  • Calculates the space contained within a rectangle.
  • Formula: Area = bh, where b is the base and h is the height.

Perimeter of a Rectangle

  • Measures the total distance around a rectangle.
  • Formula: P = 2b + 2h or P = b + b + h + h.

Midpoint Formula

  • Finds the midpoint between two points.
  • Formula: Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2).

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