ExplanationThis is an algebraic translation, meaning you need to translate the text into algebra. Use k to represent Kendra’s age, and the problem states that k > 5 (this is important only because Quantity B requires you to consider Kendra’s age five years ago, and if she were younger than 5 years old, that would create an impossible negative age!).

Quantity A = 2k – 5

Quantity B = 2(k – 5) = 2k – 10

Since 2k is common to both quantities it can be subtracted from both without affecting their relative values.

Quantity A = –5 Quantity B = –10

Quantity A is less negative, so it is greater.
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Sandy

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