formulas for Accuplacer advanced algebra and functions 59 Questions with Verified Answers
Point slope form - CORRECT ANSWER y - y1 = m(x - x1)
Sin -
... [Show More] CORRECT ANSWER opposite/hypotenuse
Difference of cubes - CORRECT ANSWER a³-b³=(a-b)(a²+ab+b²)
Point Distance Formula - CORRECT ANSWER √(x2-x1)² + (y2-y1)²
Area of a square - CORRECT ANSWER A=s²
Area of a rectangle - CORRECT ANSWER A=lw
Area of a parallelogram - CORRECT ANSWER A=bh
Area of a triangle - CORRECT ANSWER A=1/2bh or A=bh/2
circumfrence of a circle - CORRECT ANSWER C=2πr
distance - CORRECT ANSWER rate x time
Cube Volume - CORRECT ANSWER s³
Volume of a rectangular prism - CORRECT ANSWER V=lwh
Volume of a cone - CORRECT ANSWER 1/3πr²h
Volume of a sphere - CORRECT ANSWER 4/3πr³
Tangent - CORRECT ANSWER opposite/adjacent
Exponential Decay Formula - CORRECT ANSWER y=a(1-r)^t
exponential growth formula - CORRECT ANSWER y=a(1+r)^t
surface area of rectangle - CORRECT ANSWER 2lw + 2lh + 2wh
midpoint formula - CORRECT ANSWER (x₁+x₂)/2, (y₁+y₂)/2
opposite reciprocal - CORRECT ANSWER perpendicular lines are ___ (ex. 5, -1/5)
cosine - CORRECT ANSWER adjacent/hypotenuse
surface area of cube - CORRECT ANSWER 6s²
Area of a circle - CORRECT ANSWER A=πr²
csc - CORRECT ANSWER hypotunese/opposite
sec - CORRECT ANSWER hypotenuse/adjacent
cot - CORRECT ANSWER cos/sin
Arc Length Formula - CORRECT ANSWER L = 2πr (m⁰/360⁰) or S = rθ
equal - CORRECT ANSWER parallel lines have ___ slopes
1 job - CORRECT ANSWER work rate x work time
mixture formula - CORRECT ANSWER (percentage of solution) * (volume of solution) = amount of liquid
x and y values of the unit circle - CORRECT ANSWER (cos, sin)
Area of equilateral triangle - CORRECT ANSWER s² × root 3/4
Triangle Congruence Theorems - CORRECT ANSWER SSS, SAS, ASA, AAS, HL
90 degrees clockwise - CORRECT ANSWER (x,y) -> (y,-x)
midpoint formula - CORRECT ANSWER (x₁+x₂)/2, (y₁+y₂)/2
90 degrees counterclockwise - CORRECT ANSWER (-y,x)
180 degrees (both counter and clockwise) - CORRECT ANSWER (-x,-y)
sin(A+B) - CORRECT ANSWER sinAcosB+cosAsinB
270 degrees clockwise - CORRECT ANSWER (-y,x)
270 degrees counterclockwise - CORRECT ANSWER (y,-x)
Law of Sines - CORRECT ANSWER a/sinA = b/sinB = c/sinC
Cylinder volume - CORRECT ANSWER πr²h
Pyramid Volume - CORRECT ANSWER 1/3lwh or (lwh/3)
cos(A+B) - CORRECT ANSWER cosAcosB-sinAsinB
law of cosines formula - CORRECT ANSWER a²=b²+c²-2bcCosA
sin2x - CORRECT ANSWER 2sinxcosx
cos2x - CORRECT ANSWER cos²x-sin²x
tan 2x - CORRECT ANSWER 2tanx/1-tan²x
sin(A-B) - CORRECT ANSWER sinAcosB-cosAsinB
cos(A-B) - CORRECT ANSWER cosAcosB+sinAsinB
Area of a trapezoid - CORRECT ANSWER A=1/2(b1+b2)h
Pythagorean Identities - CORRECT ANSWER sin²x + cos²x = 1
tan²x + 1 = sec²x
1 + cot²x = csc²x
measurement of central angle - CORRECT ANSWER same measure of arc
inscribed angle - CORRECT ANSWER 1/2 arc
Angle formed by a tangent and a chord - CORRECT ANSWER arc/2
angle formed by intersection of two chords - CORRECT ANSWER big arc + small arc/2
Angle outside the circle - CORRECT ANSWER big arc-small arc/2
Area of a hexagon - CORRECT ANSWER 3√3/2 * a²
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