Algebra 1 Formula Sheet Flashcards

Questions and Answers

What is the slope-intercept form of a linear equation?

y= ax² + bx + c

Ax+By=C

y-y1=m(x-x1)

y= mx + b (correct)

What is the standard form of a linear equation?

Ax + By = C

What is the point-slope form of a linear equation?

y - y1 = m(x - x1)

What is the quadratic equation?

y = ax² + bx + c Signup and view all the answers

What is the Quadratic Formula?

x = -b ± √(b² - 4ac) / 2a Signup and view all the answers

What is the formula for the axis of symmetry in an arithmetic sequence?

An = A1 + (n - 1)d Signup and view all the answers

What is the sum formula for an arithmetic sequence?

Sn = n/2(a1 + an) Signup and view all the answers

What is the nth term formula for a geometric sequence?

an = a1(r)^(n - 1) Signup and view all the answers

What is the sum formula for a geometric sequence?

Sn = a1(1 - r^n) / (1 - r) Signup and view all the answers

Study Notes

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.

Description

This quiz features essential formula definitions for Algebra 1, including key concepts like slope-intercept form and the quadratic formula. Perfect for students needing quick revision tools or flashcards for exam preparation. Test your understanding of these fundamental algebraic formulas!