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Linear Inequalities in One or Two Variables Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Linear Inequalities in One or Two Variables flashcards as text

  1. If 5 − 3x ≤ −4, which of the following MUST be true?

    Answer: x ≥ 3

    −3x ≤ −9 → x ≥ 3.

  2. A phone plan offers unlimited texts for $25/month or $0.05 per text. For how many texts does the unlimited plan become less expensive?

    Answer: More than 500 texts

    0.05t > 25 → t > 500.

  3. What is the greatest integer that satisfies 4x + 9 < 25?

    Answer: 3

    4x < 16 → x < 4; the greatest integer strictly less than 4 is 3.

  4. Which inequality is equivalent to 3 − 4x ≥ 11?

    Answer: x ≤ −2

    −4x ≥ 8 → x ≤ −2.

  5. A swim team needs at least 8 members. It currently has 5. Which inequality shows additional members n needed?

    Answer: 5 + n ≥ 8

    5 + n ≥ 8.

  6. Solve: −5 ≤ 2x + 3 ≤ 9

    Answer: −4 ≤ x ≤ 3

    Subtract 3: −8 ≤ 2x ≤ 6; divide by 2: −4 ≤ x ≤ 3.

  7. If 3a > 15 and 2b < 8, which of the following must be true?

    Answer: a > b

    a > 5 and b b is always true.