Math · ACT

ACT Math Formulas

Formulas commonly needed on the ACT math section as cloze cards with each variable defined.

34 cards · cloze cards · AI-written, checked twice. Edit anything.

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The area of a triangle with base b and height h is ____
A = (1/2)bh
The area of a circle with radius r is ____
A = πr²
The circumference of a circle with radius r is ____
C = 2πr
The volume of a rectangular prism with length l, width w, and height h is ____
V = lwh
The volume of a cylinder with radius r and height h is ____
V = πr²h
The Pythagorean theorem states that for a right triangle with legs a and b and hypotenuse c, ____
a² + b² = c²
The slope of a line passing through points (x1, y1) and (x2, y2) is ____
m = (y2 - y1)/(x2 - x1)
The distance between two points (x1, y1) and (x2, y2) is ____
d = sqrt((x2 - x1)² + (y2 - y1)²)
The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is ____
((x1 + x2)/2, (y1 + y2)/2)
The quadratic formula states that the solutions to ax² + bx + c = 0 are ____
x = (-b ± sqrt(b² - 4ac))/(2a)
The area of a trapezoid with parallel sides b1 and b2 and height h is ____
A = (1/2)(b1 + b2)h
For a right triangle, the sine of an angle is ____
sin(θ) = opposite/hypotenuse
For a right triangle, the cosine of an angle is ____
cos(θ) = adjacent/hypotenuse
For a right triangle, the tangent of an angle is ____
tan(θ) = opposite/adjacent
The sum of angles in a triangle is ____
180 degrees

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