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Freshman Math
IMPORTANT STUFF
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(1) sentences have = signs.
(2) Always put dots & lines on number lines, no matter how hard they are to see
(3) Do not make stupid mistakes (see 20)
(4) Always triple check operations with matrices (See 15)
(5) When subtracting integers, feel free to add the opposites. Much less confusion
(6) When simplifying, ALWAYS solve COMPLETELY. ALL like terms, even if they don't have a variable (See 7) (See 9)
(7) All numbers are like terms. Always solve them when simplifying. (See 6) (See 9)
(8) Pay attention in class & Take Notes (see 20)
(9) When square roots involve multiple numbers, all of which are squares, simply simplify them, (Ex. sqrt(36/49) = sqrt(6/7)) (See 6 & 7)
(10) Dots in the middle of the line don't mean the same as dots at the bottom of the line
(11) Include formulas, givens and givesn plugged into the formula.
(12) Smallest numbers two numbers can divide into will never be smaller than either of the two numbers.
(13) Fractions can be improper (see 18)
(14) When coming to the Middle of the Chapter, always take time to do the midchapter review.
(15) Double check your signs (See 4)
(16) Include unit of measurement in answers Always.
(17) When the variable is on both sides, try to get it on just one side.
(18) Using improper fractions as an answer for a variable is perfectly acceptable (See 13)
(19) Try to move smaller quantities first when solving for a variable.
(20) Be quiet in class & pay attention (See 3 & 8)
(21) Try to put letters before numbers, in alphabetical order.
(22) Make sure to use teh opposite operation on both sides of an equation.
(23) To find the number of years before a steadily rising rate meets a steadily shrinking rate, subtract the low inital amount from the higher initial amount, then add the two rates together and divide
(24) When given a number as compared to a value to anothe rnumber, dont' give it a variable (Ex. a, a+5, not a, b)
(25) If you plan on missing the day before a Health test, make excessive notes.
(26) Exponents can be added or subtracted if they are identical
(27) For problems in proportions with the variable on two parts of the same fraction (See #33 p. 205) ie. (9/3)=(39+d/d) == 9d=3(39+d) or 19.5
(28) Beware of Polyatomic thingies
(29) THou shalt not kill thineself.
(30) Always label axises