PSAT Math Flashcards: Radicals And Absolute Values

Study Radicals And Absolute Values in PSAT Math with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is the solution set of x2<3|x-2|<3 written as a compound inequality?

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ANSWER

1<x<5-1<x<5. 3<x2<3-3 < x-2 < 3 adds 2 to all parts: 1<x<5-1 < x < 5.

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PSAT Math: Algebra 2

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What this deck covers

This deck focuses on Radicals And Absolute Values, giving you a quick way to review the definitions, rules, and examples that matter most for PSAT Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 46Practice questions for this set
Which expression is equivalent to 12x2y3\sqrt{12x^2y^3} for x0x\ge 0 and y0y\ge 0? Make sure your answer has no perfect-square factors left under the radical; a common error is forgetting that x2=x\sqrt{x^2}=x only because x0x\ge 0 is given.
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