Podcast
Questions and Answers
What is the quadratic formula?
What is the quadratic formula?
What is the slope formula?
What is the slope formula?
(y₂- y₁) / (x₂- x₁)
What are integers?
What are integers?
..., -3, -2, -1, 0, 1, 2, 3,...
What are rational numbers?
What are rational numbers?
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What are real numbers?
What are real numbers?
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What is the order of operations?
What is the order of operations?
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What is the formula for an arithmetic sequence?
What is the formula for an arithmetic sequence?
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What is the formula for a geometric sequence?
What is the formula for a geometric sequence?
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What are factors? Give an example.
What are factors? Give an example.
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What are multiples? Give an example.
What are multiples? Give an example.
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What is the formula for percentages?
What is the formula for percentages?
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What is the formula for calculating average?
What is the formula for calculating average?
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What is the formula for average speed?
What is the formula for average speed?
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What is the formula for sum?
What is the formula for sum?
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What is mode?
What is mode?
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What is median?
What is median?
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What is the fundamental counting principle?
What is the fundamental counting principle?
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What is probability?
What is probability?
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What is the formula for adding exponents?
What is the formula for adding exponents?
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What is the formula for subtracting exponents?
What is the formula for subtracting exponents?
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What is the formula for negative exponents?
What is the formula for negative exponents?
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What is the formula for multiplying exponents?
What is the formula for multiplying exponents?
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What is the value of x^0?
What is the value of x^0?
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What is the formula for roots?
What is the formula for roots?
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What does FOIL stand for?
What does FOIL stand for?
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What is the difference of squares formula?
What is the difference of squares formula?
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What does a^2 + 2ab equal?
What does a^2 + 2ab equal?
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What does a^2 - 2ab equal?
What does a^2 - 2ab equal?
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What is the distance formula?
What is the distance formula?
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What is the mid-point formula?
What is the mid-point formula?
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What do intersecting lines indicate?
What do intersecting lines indicate?
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What is the formula for the area of a triangle?
What is the formula for the area of a triangle?
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What do the angles of a triangle add up to?
What do the angles of a triangle add up to?
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What is a property of the lengths of triangle sides?
What is a property of the lengths of triangle sides?
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What does equilateral mean in terms of triangles?
What does equilateral mean in terms of triangles?
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What does isosceles mean in terms of triangles?
What does isosceles mean in terms of triangles?
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What does similar mean in geometry?
What does similar mean in geometry?
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What is the formula for the area of a circle?
What is the formula for the area of a circle?
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What is the formula for the circumference of a circle?
What is the formula for the circumference of a circle?
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What is a full circle in degrees?
What is a full circle in degrees?
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What is the formula for length of arc?
What is the formula for length of arc?
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What is the formula for the area of a sector?
What is the formula for the area of a sector?
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What is the formula for the area of a rectangle?
What is the formula for the area of a rectangle?
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What is the formula for the area of a parallelogram?
What is the formula for the area of a parallelogram?
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What is the formula for the volume of a rectangular solid?
What is the formula for the volume of a rectangular solid?
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What is the formula for the volume of a right cylinder?
What is the formula for the volume of a right cylinder?
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What are prime factors? Give examples.
What are prime factors? Give examples.
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What is the Greatest Common Factor (GCF)? Give an example.
What is the Greatest Common Factor (GCF)? Give an example.
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What is the Least Common Multiple (LCM)? Give an example.
What is the Least Common Multiple (LCM)? Give an example.
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What is the equation of a circle?
What is the equation of a circle?
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What are logarithms?
What are logarithms?
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What are complex numbers?
What are complex numbers?
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What is the sine of an angle?
What is the sine of an angle?
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What is the cosine of an angle?
What is the cosine of an angle?
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What is the tangent of an angle?
What is the tangent of an angle?
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What is the special sin-cos relationship?
What is the special sin-cos relationship?
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What is the conversion from degrees to radians?
What is the conversion from degrees to radians?
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What is the conversion from radians to degrees?
What is the conversion from radians to degrees?
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What is the formula for the area of a trapezoid?
What is the formula for the area of a trapezoid?
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What is the formula for direct variation?
What is the formula for direct variation?
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What is the formula for inverse variation?
What is the formula for inverse variation?
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What is the slope-intercept form?
What is the slope-intercept form?
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What is the point-slope form?
What is the point-slope form?
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What is the standard form of a linear equation?
What is the standard form of a linear equation?
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What happens when dividing by a negative number in an inequality?
What happens when dividing by a negative number in an inequality?
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What type of line indicates < or > on a coordinate plane?
What type of line indicates < or > on a coordinate plane?
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What type of line indicates ≥ or ≤ on a coordinate plane?
What type of line indicates ≥ or ≤ on a coordinate plane?
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How do you shade the graph for ≥ or > on a coordinate plane?
How do you shade the graph for ≥ or > on a coordinate plane?
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How do you shade the graph for ≤ or < on a coordinate plane?
How do you shade the graph for ≤ or < on a coordinate plane?
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What is the formula for circle perimeter?
What is the formula for circle perimeter?
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What is a chord?
What is a chord?
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What is a sector?
What is a sector?
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What is an arc?
What is an arc?
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What is a central angle?
What is a central angle?
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Study Notes
Essential Math Terms and Formulas
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Quadratic Formula: Used to solve quadratic equations, given by [-b ± √(b² - 4ac)] / (2a].
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Slope Formula: Calculates the steepness of a line using [(y₂ - y₁) / (x₂ - x₁)].
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Integers: Whole numbers that include negative numbers, zero, and positive numbers ((..., -3, -2, -1, 0, 1, 2, 3, ...)).
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Rational Numbers: All numbers expressible as a fraction or ratio of integers.
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Real Numbers: Includes integers, rationals, and special numbers like (\sqrt{2}) or (\pi).
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Order of Operations: The sequence to solve expressions: Parentheses, Exponents, Multiply, Divide, Add, Subtract (PEMDAS).
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Arithmetic Sequences: A sequence of numbers in which the difference between consecutive terms is constant ((t₁, t₁ + d, t₁ + 2d, ...)).
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Geometric Sequences: A sequence where each term after the first is found by multiplying the previous term by a fixed, non-zero number (r) ((t₁, t₁·r, t₁·r², ...)).
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Factors: Numbers that divide a given number exactly without leaving a remainder; for example, the factors of 52 are 2, 4, 13, and 26.
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Multiples: The product of a number and an integer; for example, multiples of 20 are 20, 40, 60, 80, 100, etc.
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Percentages: Calculated as (part = (percent / 100) × whole).
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Average: Determined by dividing the sum of terms by the number of terms.
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Average Speed: Calculated using the formula (average speed = total distance / total time).
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Sum: Can be found by multiplying the average by the number of terms.
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Mode: The value that appears most frequently in a data set.
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Median: The middle number in a sorted list of numbers.
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Fundamental Counting Principle: If one event can occur in (N) ways and another in (M) ways, both can occur in (N × M) ways.
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Probability: The likelihood of an event occurring, calculated as (probability = number of desired outcomes / number of total outcomes).
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Exponential Rules:
- Adding Exponents: (x^a·x^b = x^{(a+b)})
- Subtracting Exponents: (x^a/x^b = x^{(a-b)})
- Negative Exponents: (1/x^b = x^{-b})
- Multiplying Exponents: ((x^a)^b = x^{(a·b)})
- (x^0 = 1)
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Roots: Can be simplified as (\sqrt{xy} = \sqrt{x}·\sqrt{y}).
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FOIL Method: Used for multiplying two binomials ((x + a)(x + b) = x^2 + (b + a)x + ab).
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Difference of Squares: Formula given by (a^2 - b^2 = (a + b)(a - b)).
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Triangle Area: Calculated using the formula (area = (1/2)bh).
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Circle Area and Circumference:
- Area: (A = \pi r^2)
- Circumference: (C = 2\pi r)
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Volume Formulas:
- Rectangular Solid: (volume = lwh)
- Right Cylinder: (volume = \pi r^2 h)
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Inequalities:
- Dividing by a negative flips the inequality sign.
- Graphing (\geq) or (\leq) uses a solid line; (<) or (>) uses a dotted line.
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Graphing Techniques:
- Shade upwards for (\geq) or (>) and downwards for (\leq) or (<).
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Logarithms: Defined by the relationship (y = \log_b x) such that (b^y = x).
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Complex Numbers: Defined by powers of (i) ((i^0 = 1), (i^1 = i), (i^2 = -1), (i^3 = -i), and repeats).
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Trigonometric Ratios:
- Sine: (sin) = opposite / hypotenuse
- Cosine: (cos) = adjacent / hypotenuse
- Tangent: (tan) = opposite / adjacent
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Special Relationship: (sin^2(angle) + cos^2(angle) = 1).
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Area of a Trapezoid: Calculated using the formula (area = [(base1 + base2) / 2] · h).
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Direct Variation: Expressed as (y = kx).
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Inverse Variation: Given by (y = k/x).
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Standard Form of a line: Represented as (Ax + By = C), with specific constraints on coefficients.
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Geometry Terms:
- Chord: A line segment between two points on a circle.
- Sector: A pie-slice shaped section of a circle.
- Arc: Part of a circle connecting two points on the circumference.
- Central Angle: An angle with its vertex at the circle's center.
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Equations of a Circle: Given in standard form as ((x-h)^2 + (y-k)^2 = r^2), where ((h,k)) is the center.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz features flashcards covering essential math terms and formulas commonly found on the SAT. You'll review key concepts such as the quadratic formula, slope formula, and types of numbers including integers and rationals. Test your knowledge and prepare effectively for the math section of the SAT.