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Math AHSGE Review Domain Range Xcoordinates Ycoordinates {(2,3), {(2,3), (-4,6), (-4,6), (2,-3)} (2,-3)} Domain={-4,2} Range={-3,3,6} Mean- Average; add all #s and divide by total amount of numbers Median-Middle # when arranged from smallest to largest number Mode- number that occurs the most Range- Biggest # Smallest # Measures of Central Tendency Pythagorean Theorem a2 + b2 = c2 Right Triangles When you see a right triangle, 1) write down formula, 2)square the #s, 3)add or subtract, 4)take the square root…”c” is always the largest # • 90 degrees Complementary • Right angles = 90 degrees Angles Supplementary Angles • 180 degrees • (Linear pairs & triangles =180 degrees) Always subtract to find the complement/supplement of an angle “Solve” “Factor” Plug in answer choices or Use answer choices “Find” If you need to “solve” or any problem contains an = sign, plug in the answer choices for the variable and use PEMDAS to simplify. Parenthesis ( ), [ ], ││ Exponents Add/Subtract(Whichever comes first from Left to Right) Multiply/Divide (Whichever comes first from Left to Right) “Simplify-” think PEMDAS Absolute Value │-6 + 5│= │-1│= 1 Evaluate expression inside bars and make answer positive. Treat absolute value like ( ) & work out the expression first “AND” “OR” Multiply Add to find probability To find probability Probability Read Word Problem Label Answer Choices As what the ? Is asking to find Work backwards Label/Find numbers of previous Sentence in problem Work backwards Find number/use formula for First statement in problem CHECK YOUR WORK once you find the answer FUNCTION… NO X-VALUE REPEATS… NO more than one arrow coming from each x coordinate Use VERTICAL LINE TEST ● “or” ○ < or > Shade number line in two separate directions ≤ or ≥ no word or…shade between two points SLOPE Rise/Run # in front of x (y= 3x-6) Line uphill=slope + Line downhill= slope - Tilt or Inclination SLOPE= 3/4…Rise/Run 4 3 Find the slope of the line. -3/1 Find the midpoint between (–1, 2) and (3, –6). xx y y ( , ) 2 2 The halfway point between two points. Formula: x1 x 2 y1 y 2 ( , ) 2 2 Last step…take square root To simplify 4√7…plug √7 into calculator, hit = and then multiply by the #4. ◦This is useful when simplifying Pythagorean Theorem problems and using the distance formula. “Similar” “Varies directly” Set up a proportion & “Missing Measure” Cross multiply then divide Watch out for unlike units like inches then feet or minutes then seconds. Change to same unit. x Go to bed early the night before the test and eat a good breakfast the morning of the test. Read each problem carefully and think about ways to solve the problem before you try to answer the question. RELAX!!! THINK POSITIVELY!!! Try to answer all questions in order. If you don’t know the answer to one, at least eliminate some choices before moving to the next item. If no figure is provided, draw one and label it to help solve the problem. When you have finished each problem, reread it to make sure your answer is reasonable.