Mathnasium Job Assessment – Flashcards
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How do you find the perimeter and area of a rectangle?
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P = 2l + 2w
P = 2 (l + w)
A = lw
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How do you find the area of a parallelogram?
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A = bh
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How do you find the circumference and area of a circle?
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C = 2 x pi x r
C = pi x d
A = pi x r^2
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What is the Pythagorean Theorem?
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a^2 + b^2 = c^2
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How do you find the area of a triangle?
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A = (1/2)bh
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How do you find the area of a trapezoid?
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A = (1/2)h (b1 + b2)
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How do you find the volume and surface area of a rectangular solid?
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V = lwh
SA = 2lw + 2lh + hw
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How do you find the volume of a cylinder?
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V = pi x r^2 x h
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How do you find the volume of a cone?
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V = (1/3) x pi x r^2 xh
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How do you find the volume of a square pyramid?
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V = (1/3) x (area of base) x height
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How do you find the volume of a sphere?
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V = (4/3) x pi x r^3
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How many liters are in 1 quart?
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1 quart = 0.95 liters
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How many centimeters are there in an inch?
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1 inch = 2.54 centimeters
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How many kilograms are in a pound?
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1 pound = 0.45 kilograms
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How do you convert Celsius to Fahrenheit?
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F = (9/5)C + 32
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How do you convert Fahrenheit to Celsius?
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C = (5/9) x (F - 32)
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How many feet are in one mile?
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1 mile = 5,280 feet
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How many feet are in one yard?
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1 yard = 3 feet
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How many inches are in one foot?
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1 foot = 12 inches
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How many pounds are in one ton?
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1 ton = 2,000 pounds
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How many ounces are in one pound?
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1 pound = 16 ounces
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How many quarts are in one gallon?
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1 gallon = 4 quarts
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How many pints are in one quart?
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1 quart = 2 pints
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How many cups are in one pint?
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1 pint = 2 cups
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How many fluid ounces are in one cup?
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1 cup = 8 fluid ounces
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How many days are in one year?
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1 year = 365 days
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How many hours are in a day?
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1 day = 24 hours
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How many minutes are in an hour?
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1 hour = 60 minutes
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How many seconds are in a minute?
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1 minute = 60 seconds
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How do you calculate the degrees of a polygon?
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Angle degree = 180 (n-2) *n = number of sides
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What does "i" equal?
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sqrt of -1
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What does "i^2" equal?
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-1
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What is GCF?
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GCF is the greatest factor that divides two numbers.
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What is LCM?
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The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.
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What is a relation?
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A correspondence between 2 variables.
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What is a function?
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A relation such that for each x-value in the domain, there is exactly one corresponding y-value.
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When do vertical asymptotes occur?
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A factor in the denominator only equals zero.
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When do holes occur?
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A factor in the numerator and the denominator equal zero.
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What is the acronym for horizontal asymptotes?
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Bottom heavy
y = O
S ame degree, divide the leading coefficient
Top heavy
O
N No HA
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How do you classify polynomials by degree?
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0-constant
1-linear
2-quadratic
3-cubic
4- quartic
5- quintic
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How do you classify polynomials by the number of terms?
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1-monomial
2-binomial
3-trinomial
4-quadnomial
5-polynomial
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What are the characteristics of a polynomial?
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1. No negative exponents
2. No fraction exponents
3. The leading coefficient is the coefficient with the highest degree
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How does multiplicity shape a graph?
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cross = multiplicity of 1
bounce = multiplicity that is even
twist = multiplicity that is odd
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How is end behavior determined?
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1. Degree
2. Leading Coefficient
Odd Degree > L.C. is + > down-up
Odd Degree > L.C. is - > up-down
Even Degree > L.C. is + > up-up
Even Degree > L.C. is - > down-down
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How does an oblique asymptote occur?
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When there is no Horizontal Asymptote
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How do you find Arc length?
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s = radians x radius
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How do you find the magnitude of a vector?
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Distance formula
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What are the standard unit vectors?
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i = <1, 0>
j = <0, 1>
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How do you find the angle between a vector?
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* Remember inverse cosine when plugging into the calculator
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How do you find the unit vector?
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(component vector) / (magnitude)
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Polar > Rectangular
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x = r x cosine x theta
y = r x sine x theta
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Rectangular > Polar
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x^2 + y^2 = r^2
theta = inverse tangent (y/x)
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50!/48! = ?
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2450
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A solution containing 30% juice is mixed with a solution containing 10% juice to make 100 gallons of solution that makes 12% juice.How much of the 30% solution was used?
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10 gallons
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7 runners in a race, how many different orderings of 1st, 2nd, and 3rd place can there be?
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210
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What is the formula for arithmetic sequence?
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a1 + 4d = an
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i^63 = ?
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-i
