mgb5e_ppt_2_5

# mgb5e_ppt_2_5 - 2.5 An Introduction to Problem Solving...

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§ 2.5 An Introduction to Problem Solving

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Martin-Gay, Beginning Algebra, 5ed 2 Strategy for Problem Solving General Strategy for Problem Solving 1) UNDERSTAND the problem Read and reread the problem Choose a variable to represent the unknown Construct a drawing, whenever possible Propose a solution and check 2) TRANSLATE the problem into an equation 3) SOLVE the equation 4) INTERPRET the result Check the proposed solution in the problem State your conclusion
Martin-Gay, Beginning Algebra, 5ed 3 The product of twice a number and three is the same as the sum of five times the number and 12. Find the number. 1.) UNDERSTAND Read and reread the problem. If we let x = the unknown number, then “twice a number” translates to 2 x , “the product of twice a number and three” translates to 2 x · 3, “five times the number” translates to 5 x , and “the sum of five times the number and 12” translates to 5 x + 12.

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