Lesson: Challenging Problem Solving - 07t05

Advanced Algebra: Example 2

[Page 7 of 37]
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1 + S
2S
Which of the following Problem Solving approaches can be used to solve the question above? Select Yes or No and then click Continue.
  YES NO
Backsolving:
Picking Numbers:
Algebra:
Use CAT's Picking Numbers strategy to solve the problem above. Pick numbers to represent x and y in both equations, and then click Continue.

x =

y =

Apply our target numbers to the answer choices. When you have done so, select the correct answer and then click Continue.

 
1 + S
2S

We are looking for the choice that will result in when 2 is plugged in for S:

Choice (A): . Eliminate.
Choice (B): . Eliminate.
Choice (C): . Eliminate.
Choice (D): . Correct.
Choice (E): . Eliminate.

By using the Picking Numbers strategy, we were able to find the answer quickly. The algebraic approach is a little tricky to identify, requires calculation with variables, and contains a subtle last step. On an algebra problem that doesn't have a familiar structure (unlike, for example, a quadratic) and that has multiple variables, consider Picking Numbers. It may save you some time and decrease your chances for error.

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