Algebra 1 Formula Sheet Flashcards

Algebra 1 Essential Formulas

• Slope-Intercept Form

  • Represents linear equations.
  • Format: y = mx + b, where m is the slope and b is the y-intercept.

• Standard Form

  • Another way to represent linear equations.
  • Format: Ax + By = C, where A, B, and C are integers, and A should be non-negative.

• Point-Slope Form

  • Used to express the equation of a line when a point on the line and the slope are known.
  • Format: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

• Quadratic Equation

  • A polynomial equation of degree 2.
  • Format: y = ax² + bx + c, where a, b, and c are constants, and a is not zero.

• Quadratic Formula

  • A method to find the roots of a quadratic equation.
  • Given as: x = (-b ± √(b² - 4ac)) / (2a), which provides solutions based on coefficients a, b, and c.

• Axis of Symmetry (nth term)

  • Describes the line that vertically divides the parabola into two symmetric halves.
  • Given by An = A1 + (n - 1)d, where A1 is the first term, d is the common difference, and n is the term number.

• Arithmetic Sequence (Sum)

  • The sum of the first n terms of an arithmetic sequence.
  • Formula: Sn = n/2(a1 + an), where a1 is the first term, an is the nth term, and n is the number of terms.

• Geometric Sequence (nth term)

  • Represents the nth term of a geometric progression.
  • Given by: an = a1(r)^(n - 1), where a1 is the first term, r is the common ratio, and n is the term number.

• Geometric Sequence (Sum)

  • The sum of the first n terms of a geometric sequence.
  • Formula: Sn = a1(1 - r^n) / (1 - r) for r ≠ 1, where a1 is the first term and r is the common ratio.