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Day Three. Algebra Grid Ins. Write it out 14 is 5 more than some number. If one-fourth of a number is 3, what is one-half of the same number? Is, of, times, product, what or unknown value, more, sum, less, difference, ratio, quotient. Algebra.
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Day Three Algebra Grid Ins
Write it out • 14 is 5 more than some number. • If one-fourth of a number is 3, what is one-half of the same number? • Is, of, times, product, what or unknown value, more, sum, less, difference, ratio, quotient Algebra
What ever you do to the left of the = you do to the right • “Is there a quick solution?” • Inequality: when you multiply or divide by a negative, switch the sign • Simplifying p191 Algebra: Basic Training
FOIL • Combining like terms first • Quadratic Solutions • Factoring Quadratics • ETS Favorites p195 • Absolute Value (Joe alert!)
PITA • Numbers in the answer choices • Specific: “what was the first payment • You have the urge to write out algebra, DON’T • Steps: • Start with C • Work out the steps of the problem • Look for something in the problem that tells you what must happen to be correct • When correct, STOP Algebra: How to avoid it
PIYA • Pick a number for the variable • Use your number to solve • Use your number in the answer choices • Which ones? Small and nice (2,10,100) • Radicals and fractions – get rid of them • Functions – plug away
“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.” ~John Louis von Neumann Work for next time – Finish the multiple choice pp. 305-313
Find the trick, do not directly solve for x or y unless you have to. • Try factoring or expanding expressions to find an answer • Simultaneous equations, you should add or subtract the equations • When the question has number answers, PITA – plug in the numbers to find the answers. • If the answers have variables, plug your numbers. Algebra Main Points
Use “easy” numbers PIYA • With inequalities, try more than one number • SAT Function problems are simply “Simon Says” follow the pattern for the funny symbol • Domain is what goes into a function, and range is what comes out. No zeros. • Translate word problems into equations and solve. Algebra Main Points
Grid-Ins Instructions (fill in boxes, ovals, start left) Enter what fits, no need to round or reduce No mixed numbers Less confusing questions, no tricks Order of difficulty