Podcast
Questions and Answers
What is the slope-intercept form of a linear equation?
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?
What is the standard form of a linear equation?
Ax + By = C
What is the point-slope form of a linear equation?
What is the point-slope form of a linear equation?
y - y1 = m(x - x1)
What is the quadratic equation?
What is the quadratic equation?
What is the Quadratic Formula?
What is the Quadratic Formula?
What is the formula for the axis of symmetry in an arithmetic sequence?
What is the formula for the axis of symmetry in an arithmetic sequence?
What is the sum formula for an arithmetic sequence?
What is the sum formula for an arithmetic sequence?
What is the nth term formula for a geometric sequence?
What is the nth term formula for a geometric sequence?
What is the sum formula for a geometric sequence?
What is the sum formula for a geometric sequence?
Flashcards
Slope-Intercept Form
Slope-Intercept Form
The equation of a line expressed as y = mx + b.
Standard Form
Standard Form
A linear equation written as Ax + By = C.
Point-Slope Form
Point-Slope Form
An equation of a line in the form y - y1 = m(x - x1).
Quadratic Equation
Quadratic Equation
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Quadratic Formula
Quadratic Formula
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Axis of Symmetry Formula (Arithmetic Sequence)
Axis of Symmetry Formula (Arithmetic Sequence)
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Sum Formula (Arithmetic Sequence)
Sum Formula (Arithmetic Sequence)
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Nth Term Formula (Geometric Sequence)
Nth Term Formula (Geometric Sequence)
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Sum Formula (Geometric Sequence)
Sum Formula (Geometric Sequence)
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Study Notes
Algebra 1 Essential Formulas
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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!
