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mathnasium
| Question | Answer |
|---|---|
| How do you find the perimeter and area of a rectangle? | P = 2l + 2w P = 2 (l + w) A = lw |
| How do you find the area of a parallelogram? | A = bh |
| How do you find the circumference and area of a circle? | C = 2 x pi x r C = pi x d A = pi x r^2 |
| What is the Pythagorean Theorem? | a^2 + b^2 = c^2 |
| How do you find the area of a triangle? | A = (1/2)bh |
| How do you find the area of a trapezoid? | A = (1/2)h (b1 + b2) |
| How do you find the volume and surface area of a rectangular solid? | V = lwh SA = 2lw + 2lh + hw |
| How do you find the volume of a cylinder? | V = pi x r^2 x h |
| How do you find the volume of a cone? | V = (1/3) x pi x r^2 xh |
| How do you find the volume of a square pyramid? | V = (1/3) x (area of base) x height |
| How do you find the volume of a sphere? | V = (4/3) x pi x r^3 |
| How many liters are in 1 quart? | 1 quart = 0.95 liters |
| How many centimeters are there in an inch? | 1 inch = 2.54 centimeters |
| How many kilograms are in a pound? | 1 pound = 0.45 kilograms |
| How do you convert Celsius to Fahrenheit? | F = (9/5)C + 32 |
| How do you convert Fahrenheit to Celsius? | C = (5/9) x (F - 32) |
| How do you find the distance between two points? | sqrt(x2-x1)^2 +(y2-y1)^2 |
| How do you find slope? | rise/run |
| How many feet are in one mile? | 1 mile = 5,280 feet |
| How many feet are in one yard? | 1 yard = 3 feet |
| How many inches are in one foot? | 1 foot = 12 inches |
| How many pounds are in one ton? | 1 ton = 2,000 pounds |
| How many ounces are in one pound? | 1 pound = 16 ounces |
| How many quarts are in one gallon? | 1 gallon = 4 quarts |
| How many pints are in one quart? | 1 quart = 2 pints |
| How many cups are in one pint? | 1 pint = 2 cups |
| How many fluid ounces are in one cup? | 1 cup = 8 fluid ounces |
| How many days are in one year? | 1 year = 365 days |
| How many hours are in a day? | 1 day = 24 hours |
| How many minutes are in an hour? | 1 hour = 60 minutes |
| How many seconds are in a minute? | 1 minute = 60 seconds |
| What is the quadratic formula? | -b+-sqrt(b^2-4ac)/2a |
| How do you calculate the degrees of a polygon? | Angle degree = 180 (n-2) *n = number of sides |
| How do you solve a 30-60-90 triangle? | x is the short side, xsqrt3 is the long side, and 2x is the hypotenuse |
| How do you solve a 45-45-90 triangle? | the sides are x and the hypotenuse is xsqrt2 |
| What does "i" equal? | sqrt-1 |
| What does "i^2" equal? | -1 |
| What is GCF? | GCF is the greatest factor that divides two numbers. |
| What is LCM? | The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both. |
| What is a relation? | A correspondence between 2 variables. |
| What is a function? | A relation such that for each x-value in the domain, there is exactly one corresponding y-value. |
| When do vertical asymptotes occur? | A factor in the denominator only equals zero. |
| When do holes occur? | A factor in the numerator and the denominator equal zero. |
| What is the acronym for horizontal asymptotes? | Bottom heavy y = O S ame degree, divide the leading coefficient Top heavy O N No HA |
| How do you classify polynomials by degree? | 0-constant 1-linear 2-quadratic 3-cubic 4- quartic 5- quintic |
| How do you classify polynomials by the number of terms? | 1-monomial 2-binomial 3-trinomial 4-quadnomial 5-polynomial |
| What are the characteristics of a polynomial? | 1. No negative exponents 2. No fraction exponents 3. The leading coefficient is the coefficient with the highest degree |
| How does multiplicity shape a graph? | cross = multiplicity of 1 bounce = multiplicity that is even twist = multiplicity that is odd |
| How is end behavior determined? | 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 |
| How does an oblique/slant asymptote occur? | When there is no Horizontal Asymptote |
| How do you find Arc length? | s = radians x radius |
| What are the trig identities? | sin^2 + cos^2 = 1 tan^2 + 1 = sec^2 1+cot^2 = csc^2 |
| How do you find the magnitude of a vector? | Distance formula |
| What are the standard unit vectors? | i = <1, 0> j = <0, 1> |
| How do you find the angle between a vector? | inverse cos(a*b/abs a * abs b) |
| How do you find the unit vector? | original vector / length |
| Polar > Rectangular | given (r, theta) x = r * cos y = r * sin |
| Rectangular > Polar | given (x, y) r^2 = x^2 + y^2 theta = inverse tan (y/x) |
| 50!/48! = ? | 2450 |
| 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? | 10 gallons |
| 7 runners in a race, how many different orderings of 1st, 2nd, and 3rd place can there be? | 210 |
| What is the formula for arithmetic sequence? | a sub nth term = a1 + (n-1)d a1 = first term d = common difference |
| i^63 = ? | -i |
| i cycle | i -1 -i 1 |
Created by:
lreynal