Using a Guess and Check Table to Solve a Problem Algebraically.

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Presentation transcript:

Using a Guess and Check Table to Solve a Problem Algebraically

Guess and Check to Algebraic The perimeter of a triangle is 31 cm. Sides #1 and #2 have equal length, while Side #3 is one centimeter shorter than twice the length of side #1. How long is each side? Guess Length of Side #1 Length of Side #2 Length of Side #3 Perimeter of Triangle Check 5 9 Too Low Too High 31 Side One: Side Two: Side Three: cm Instead of guessing a number, guess a variable. Using the x, follow the same arithmetic.

Guess and Check to Algebraic Elise took all of her cans and bottles from home to the recycling plant. The number of cans was one more than four times the number of bottles. She earned 10¢ for each can and 12¢ for each bottle, and ended up earning $2.18 in all. How many cans and bottles did she recycle? Guess # of bottles# of cansTotal EarningsCheck 10 2 Too High Too Low $2.18 Bottles: Cans: bottles cans Instead of guessing a number, guess a variable. Using the x, follow the same arithmetic.