8929238
Description
Flashcards by Amy Daniels, updated more than 1 year ago
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Created by Amy Daniels
almost 7 years ago
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| Question | Answer |
| Recurring Fractions to Decimals | 1.) Multiply the sequence by a power of 10 so that first part of a repeated portion is in front of decimal point 2.) Subtract to get a whole number 3.) That number would be 9(999)x 4.) Solve for x and simplify |
| Find a percentage of something | Divide number by 100 and multiply by percent (Divide by 100 is 1% and multiply by percent makes it that percent) |
| Increasing number by percent | Multiply by 100 and [number] percent (Convert to decimal) |
| Decreasing number by percent | Multiply by what's left of that number when you subtract from 100 (100%-%) (Convert to decimal) |
| Reverse percent: increased | O.P. x 1.% = S.P. S.P. ÷ 1.% = O.P. |
| Reverse percent: decreased | O.P. x 0.% = S.P. S.P. ÷ 0.% = O.P. |
| Factorizing: Common Factor | Take out common factor & put remainder in brackets |
| Factorizing: Difference of Two Squares | Take square root of each number and put in brackets twice (One adding, one subtracting) |
| Factorizing: Inspection | Find factors of the constant that add up to the letter term OR 1. Multiply number in front of the squared by the constant 2. Find factors of that that add up to the letter term 3. Group and remove the common factor 4. Regroup |
| Completing the Square | 1. Divide the 'bx' by two, and place it as a square in the brackets 2. Subtract the product of the 'c^2' , then add/subtract so you'll get the final term |
| Solving Quadratics | Use formula: -b +/- √ b - 4ac --------------------- 2a |
| Graphing Quadratcics | y = ax^2 + bx + c ^2 = one curve ^3 = two curves c = y intercept |
| Finding the Vertex | -b ---- 2a |
| Simultaneos Equations | Eg: 4x + 4y = 12 - 4x - 2y = 0 -------------- 6y = 12 y = 2 Solve for variable "x" |
| Probability: "and" (e.g. P(red and blue)) | Multiply the two probabilities |
| Probability: "or" (e.g. P(red or blue)) | Add the two probabilities |
| Pythagorain theorem | a^2 + b^2 = c^2 a = leg b = leg c = hypotenuse |
| Finding an angle of a right-angled triangle | SOH CAH TOA S = sine; C = cosine; T = tan A = adjacent to angle; O = oppisite to angle; H = hypotenuse |
| Simple Interest (gets the interest) | Principle x Rate x Time --------------------------- 100 |
| Compound Interest (gets principle and interest) | Appreciation: Principle (1 + rate/100)^time Depricatoin: Principle (1 - rate/100)^time |
| Direct Poportion | 1. Take the thing that is only mentioned once and multiply it by the fraction of the other two 2. Since it should get bigger, put the bigger one on top |
| Direct Proportion (Variation) | y = kx |
| Inverse Proportion | 1. Take the thing that is only mentioned once and multiply it by the fraction of the other two 2. Since it should get smaller, put the smaller one on top |
| Inverse Proportion (Variation) | y = k/x |
| Scale Factor | LSF = 2D ASF = LSF^2 VSF = LSF^3 |
| Range of Values | n1 < x < n2 |
| Range of Values on a Numberline | Shaded circle - includes value Unshaded circle - doesn't include value |
| Mean from Grouped Data | E (mid-value X frequency) ----------------------------- E frequency (E : the sum of all values) |
| Median from Grouped Data | Class that contains middle value |
| Mode from Grouped Data | Class that contains the highest frequency |
| Histograms | F / I = F.D. Frequency / Interval = Frequency Density |
| Area of a Segment of a Circle | π(r^2)angle ----------------- 360 |
| Circumference of a Segment of a Circle | (2πr)angle ----------------- 360 |
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