ACT Prep 2021Exams (Correct Answers)
Circumference of a circleCorrect Answers2πr
Area of a triangleCorrect AnswersA=(base x height)/2
Area of a trapezoidCorrect AnswersA=(base 1 + base 2)/2 x height
phythagorean theoremCorrect Answersa^2 + b^2 = c^2
area of a circleCorrect AnswersA=πr²
Volume of a cylinderCorrect AnswersV=πr²h
sectorCorrect Answersfraction of area of circle
x/aπ = 45/360
x/aπ = 1/8
8x = aπ
x=a/8 π
arcCorrect Answersfraction of circumference
x/aπ = 45/360
x/aπ = 1/8
8x = aπ
x = 3/4 π
area of a parallelogramCorrect AnswersA=bh
Volume of a sphereCorrect Answers4/3πr³
equation of a circleCorrect Answers(x-h)²+(y-k)²=r²
(h,k) = center
radians to degreesCorrect Answersmultiply by 180/π
eg: 3π/2 x 180/π=270 degrees
degrees to radiansCorrect Answersmultiply by π/180
270 x π/180=3π/2
sinCorrect Answerssine= opposite/hypotenuse
cosCorrect Answerscos=adjacent/hypotenuse
tanCorrect Answerstan=opposite/adjacent
unit circleCorrect Answersa circle with a radius of 1 = to hypotenuse
difference of cubesCorrect Answersx³ - y³ = (x - y)(x² + xy + y²)
sum of cubesCorrect Answersx³ + y³ = (x + y)(x² - xy + y²)
difference of squaresCorrect Answersx² - y² = (x + y)(x - y)
a^2 + bx + cCorrect Answerstake the factors of a & c that add up to b.
perfect square trinomialCorrect Answersa trinomial that is the result of squaring a
binomial
a^2 + 2ab +b^2 = (a+b)^2
quadratic equation in standard formCorrect Answersax^2+bx+c=0
X^m x X^nCorrect Answers= X^m+n
X^m/Y^nCorrect Answers= X^m-n
(X^m)^nCorrect Answers= X^mn
(XY)^mCorrect Answers= X^m x Y^m
(X/Y)^mCorrect Answers= X^m/Y^m
X^0Correct Answers= 1
X^-mCorrect Answers= 1/X^m
(X/Y)^-mCorrect Answers= (Y/X)^m
Circumference of a circleCorrect Answers2πr
Area of a triangleCorrect AnswersA=(base x height)/2
Area of a trapezoidCorrect AnswersA=(base 1 + base 2)/2 x height
phythagorean theoremCorrect Answersa^2 + b^2 = c^2
area of a circleCorrect AnswersA=πr²
Volume of a cylinderCorrect AnswersV=πr²h
sectorCorrect Answersfraction of area of circle
x/aπ = 45/360
x/aπ = 1/8
8x = aπ
x=a/8 π
arcCorrect Answersfraction of circumference
x/aπ = 45/360
x/aπ = 1/8
8x = aπ
x = 3/4 π
area of a parallelogramCorrect AnswersA=bh
Volume of a sphereCorrect Answers4/3πr³
equation of a circleCorrect Answers(x-h)²+(y-k)²=r²
(h,k) = center
radians to degreesCorrect Answersmultiply by 180/π
eg: 3π/2 x 180/π=270 degrees
degrees to radiansCorrect Answersmultiply by π/180
270 x π/180=3π/2
sinCorrect Answerssine= opposite/hypotenuse
cosCorrect Answerscos=adjacent/hypotenuse
tanCorrect Answerstan=opposite/adjacent
unit circleCorrect Answersa circle with a radius of 1 = to hypotenuse
difference of cubesCorrect Answersx³ - y³ = (x - y)(x² + xy + y²)
sum of cubesCorrect Answersx³ + y³ = (x + y)(x² - xy + y²)
difference of squaresCorrect Answersx² - y² = (x + y)(x - y)
a^2 + bx + cCorrect Answerstake the factors of a & c that add up to b.
perfect square trinomialCorrect Answersa trinomial that is the result of squaring a
binomial
a^2 + 2ab +b^2 = (a+b)^2
quadratic equation in standard formCorrect Answersax^2+bx+c=0
X^m x X^nCorrect Answers= X^m+n
X^m/Y^nCorrect Answers= X^m-n
(X^m)^nCorrect Answers= X^mn
(XY)^mCorrect Answers= X^m x Y^m
(X/Y)^mCorrect Answers= X^m/Y^m
X^0Correct Answers= 1
X^-mCorrect Answers= 1/X^m
(X/Y)^-mCorrect Answers= (Y/X)^m
