ACT PREP ;), ACT Prep Exam well completed and answered

ACT PREP ;), ACT Prep Exam well completed and answered Circumference of a circle Correct Answer: 2πr Area of a triangle Correct Answer: A=(base x height)/2 Area of a trapezoid Correct Answer: A=(base 1 + base 2)/2 x height phythagorean theorem Correct Answer: a^2 + b^2 = c^2 area of a circle Correct Answer: A=πr² Volume of a cylinder Correct Answer: V=πr²h sector Correct Answer: fraction of area of circle x/aπ = 45/360 x/aπ = 1/8 8x = aπ x=a/8 π arc Correct Answer: fraction of circumference x/aπ = 45/360 x/aπ = 1/8 8x = aπ x = 3/4 π area of a parallelogram Correct Answer: A=bh Volume of a sphere Correct Answer: 4/3πr³ equation of a circle Correct Answer: (x-h)²+(y-k)²=r² (h,k) = center radians to degrees Correct Answer: multiply by 180/π eg: 3π/2 x 180/π=270 degrees degrees to radians Correct Answer: multiply by π/180 270 x π/180=3π/2 sin Correct Answer: sine= opposite/hypotenuse cos Correct Answer: cos=adjacent/hypotenuse tan Correct Answer: tan=opposite/adjacent unit circle Correct Answer: a circle with a radius of 1 = to hypotenuse difference of cubes Correct Answer: x³ - y³ = (x - y)(x² + xy + y²) sum of cubes Correct Answer: x³ + y³ = (x + y)(x² - xy + y²) difference of squares Correct Answer: x² - y² = (x + y)(x - y) a^2 + bx + c Correct Answer: take the factors of a & c that add up to b. perfect square trinomial Correct Answer: a trinomial that is the result of squaring a binomial a^2 + 2ab +b^2 = (a+b)^2 quadratic equation in standard form Correct Answer: ax^2+bx+c=0 X^m x X^n Correct Answer: = X^m+n X^m/Y^n Correct Answer: = X^m-n (X^m)^n Correct Answer: = X^mn (XY)^m Correct Answer: = X^m x Y^m (X/Y)^m Correct Answer: = X^m/Y^m X^0 Correct Answer: = 1 X^-m Correct Answer: = 1/X^m (X/Y)^-m Correct Answer: = (Y/X)^m A/X^-m Correct Answer: ax^m Distance Formula Correct Answer: d = √[( X2 - x₁)² + (Y2 - y₁)²] midpoint formula Correct Answer: (XI+x₂)/2, (YI+y₂)/2 slope formula Correct Answer: (Y2-y1) / (X2-x1) linear equation Correct Answer: y=mx+b point slope formula Correct Answer: y-y1 = m(x-x1) ellipse (vertical major axis) Correct Answer: (x-h)^2/b^2 + (y-k)^2/a^2 = 1 *larger denominator is always a^2 ellipse (horizontal major axis) Correct Answer: x^2/a^2 + y^2/b^2 = 1 *larger denominator is always a^2 parabola standard form Correct Answer: y=ax^2+bx+c hyperbola (vertical) Correct Answer: y^2/a^2-x^2/b^2=1 *positive term is always a^2 hyperbola (horizontal) Correct Answer: x^2/a^2-y^2/b^2=1 *positive term is always a^2 logbB=1 Correct Answer: logarithmic base is always 1 eg. logx4=1 logb1=0 Correct Answer: logarithmic base is always 0 eg. log5x=0 n! Correct Answer: multiply by decreasing positive integers eg. 5!= 5 x 4 x 3 x 2 x 1= 120 nPr Correct Answer: n!/(n-r)! nCr Correct Answer: n!/r!(n-r)! complementary angles Correct Answer: Two angles whose sum is 90 degrees