Questions and Answers
What does the acronym PEMDAS stand for?
What is the definition of slope?
What is the slope-intercept form of a linear equation?
y = mx + b
What is the standard form of a linear equation?
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What does FOIL stand for?
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What is the point-slope form of a linear equation?
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What is the expansion of (a + b)^2?
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What is the result of (a + b)(a - b)?
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What is the axis of symmetry?
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What is the quadratic formula?
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What does the discriminant represent?
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What is the formula for compound interest?
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What is the general formula for exponential growth?
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What is the general formula for exponential decay?
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Study Notes
Order of Operations
- Use the acronym PEMDAS to remember the sequence: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Slope
- Represents the steepness and direction of a line, calculated as the change in y over the change in x (rise/run).
Slope Intercept Form
- The equation of a line in the form Y = mx + b, where m is the slope and b is the y-intercept.
Standard Form
- Represents linear equations as Ax + By = C where A and B must be whole numbers.
FOIL Method
- A technique used for multiplying two binomials: First, Outer, Inner, Last.
Point Slope Form
- A linear equation format represented as y - y1 = m(x - x1), where (x1,y1) is a specific point on the line and m is the slope.
Square of a Sum
- The expanded form of (a + b)² is a² + 2ab + b², representing a perfect square trinomial.
Difference of Squares
- The result of (a + b)(a - b) is a² - b², showcasing the difference between the squares of two terms.
Axis of Symmetry
- A vertical line that divides a parabola into two mirror-image halves, typically found at x = -b/(2a) for quadratic functions.
Quadratic Formula
- Used to find the roots of a quadratic equation ax² + bx + c = 0, given by x = (-b ± √(b² - 4ac)) / (2a).
Discriminant
- Calculated as b² - 4ac, it determines the nature of the roots of a quadratic equation: positive for two real roots, zero for one real root, and negative for no real roots.
Compound Interest Formula
- A = P(1 + r/n)^(nt) where A is the amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.
Exponential Growth
- Described by the formula Y = ab^x with b > 1, indicating that the quantity increases over time at a constant percentage rate.
Exponential Decay
- Expressed as Y = ab^-x, where b is a base greater than 1, demonstrating a decrease in quantity over time at a constant percentage rate.
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Description
Prepare for the Algebra 1 Honors Florida EOC with this set of flashcards designed to help you master essential formulas and concepts. Covering key terms like order of operations, slope, and various forms of equations, this quiz will enhance your understanding and retention of critical mathematical skills.
