math flashcard

Important Math Cheats for 10th Grade Math

Factoring

• Factoring a Quadratic Expression: For an expression of the form ax^2 + bx + c:

  1. Factor out a if possible.

  2. Make a table to organize your factors.

  3. Find factors that:

     • Multiply to: c (or c/a)

     • Add to: b

  4. Write your factors with an x and then write the whole expression.

  5. Factor until it looks like: a(x+j)(x+k).

Probability Rules

• Probability of A or B occurring: Add the probabilities of A and B.

• Probability of A and B occurring: Multiply the probabilities of A and B.

Pythagorean Theorem

• Formula: a^2 + b^2 = c^2 (for right triangles)

Slope Formula

• Formula: m = (y2 - y1) / (x2 - x1) (for finding the slope of a line)

Distance Formula

• Formula: d = √((x2 - x1)² + (y2 - y1)²) (for finding the distance between two points)

Quadratic Formula

• Formula: x = (-b ± √(b² - 4ac)) / (2a) (for solving quadratic equations)