Lesson: Challenging Problem Solving - 06t05

Advanced Algebra: Example 1

[Page 6 of 37]

Review the following question and then proceed to the task below.

On segment JN above, JL = 38 and KN = 44. If KL is 3 times the length of LM, and if MN is half the length of JK, what is the length of KM?

	40
	32
	24
	10
	It cannot be determined from the information given.

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 Backsolving strategy to solve the problem above. Let's start out by using Choice (B) to complete the following statement. Enter your responses into the textboxes below and then click Continue.

If KM = 32, then KL = and LM = .

Now that we have lengths for KL and LM, we can find the remaining segment lengths. Complete the following statement and then click Continue.

If KL = 24 and LM = 8, then JK = and MN = .

The lengths of JK and KL must equal the length of JL. Since JL = 38 and KL = 24, JK must be equal to 14.

Likewise, the lengths of KL, LM, and MN must equal the length of KN. Since KN = 44, MN must be equal to 12.

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Lesson: Challenging Problem Solving - 06t05

Advanced Algebra: Example 1

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