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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.

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  1. If 6 − 2x > 0, which of the following could be x?

    Answer: x = 2

    −2x > −6 → x < 3; only x = 2 satisfies x < 3.

  2. A delivery service charges $5 plus $0.75 per mile. A customer's budget is $20. What is the maximum number of whole miles the delivery can cover?

    Answer: 20 miles

    5 + 0.75m ≤ 20 → 0.75m ≤ 15 → m ≤ 20.

  3. Which ordered pair satisfies both y ≥ 2x − 1 and y < x + 3?

    Answer: (2, 4)

    Test (2, 4): 4 ≥ 3 ✓ and 4 < 5 ✓.

  4. Solve for y: −y/4 + 1 > −2

    Answer: y < 12

    −y/4 > −3 → −y > −12 → y < 12.

  5. Which point satisfies y ≤ (1/2)x + 3?

    Answer: (2, 1)

    Test (2, 1): 1 ≤ 1+3 = 4. True.

  6. The number of girls g in a class is at least twice the number of boys b. Which inequality represents this?

    Answer: g ≥ 2b

    'Girls is at least twice boys' means g ≥ 2b.

  7. Solve for x: 2(x − 3) > 3(x + 2)

    Answer: x < −12

    Expand: 2x − 6 > 3x + 6; subtract 2x: −6 > x + 6; subtract 6: x < −12.