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Lesson: Challenging Problem Solving - 07t01

Advanced Algebra: Example 2

[Page 7 of 37]

 

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 =

4 and 2 are good choices for x and y. Both S and the fraction term in the denominator of T will become integer values if 4 and 2 are used, and integers are usually easier to manage than fractions.

Now that we know that when we substitute 4 for x and 2 for y, S = 2 and T = , we can go on to test the answer choices.

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