SAT Math: Must-Know Formulas

Master the essential mathematical formulas tested on the SAT with this comprehensive flashcard deck. Covering key concepts from algebra, geometry, and trigonometry, these cards will help you quickly recall the formulas needed to solve a wide range of problems. Use them to solidify your foundational knowledge and boost your score on test day.

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

y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

What is the Quadratic Formula used to solve for x in ax^2 + bx + c = 0?

x = (-b ± sqrt(b^2 - 4ac)) / (2a).

How do you calculate the area of a triangle?

Area = (1/2) * base * height.

What is the formula for the circumference of a circle?

C = 2πr or C = πd, where 'r' is the radius and 'd' is the diameter.

What is the formula for the area of a circle?

Area = πr^2, where 'r' is the radius.

State the Pythagorean theorem.

For a right triangle with legs 'a' and 'b' and hypotenuse 'c', a^2 + b^2 = c^2.

What is the distance formula between two points (x1, y1) and (x2, y2)?

d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

What is the midpoint formula for a segment with endpoints (x1, y1) and (x2, y2)?

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

How do you factor the 'difference of squares', a^2 - b^2?

a^2 - b^2 = (a - b)(a + b).

What do SOH CAH TOA stand for in trigonometry?

Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

How do you calculate the arithmetic mean (average) of a set of numbers?

Sum all the numbers in the set and divide by the count of numbers in the set.

What is the rule for multiplying exponents with the same base, x^a * x^b?

x^a * x^b = x^(a+b).

What is the formula for the volume of a rectangular prism?

Volume = length * width * height.

What is the standard form equation of a circle with center (h, k) and radius r?

(x - h)^2 + (y - k)^2 = r^2.

What are the side ratios for a 30-60-90 right triangle?

The sides are in the ratio x : x√3 : 2x, where x is opposite the 30-degree angle, x√3 is opposite the 60-degree angle, and 2x is the hypotenuse.