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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. Tina has $30 of merchandise and needs a minimum $50 purchase to use a coupon. How much more s must she spend?

    Answer: s ≥ 20

    30 + s ≥ 50 → s ≥ 20.

  2. Which value satisfies 2x − 5 > x + 1 AND x < 10?

    Answer: x = 7

    2x − 5 > x + 1 → x > 6; combined with x < 10, only x = 7 from the choices works.

  3. Solve for x: 3x/2 − 1 ≤ 5

    Answer: x ≤ 4

    3x/2 ≤ 6 → x ≤ 4.

  4. If 2x + k > 10 has x = 3 as a solution, which value could k be?

    Answer: k = 5

    6 + k > 10 → k > 4; only k = 5 satisfies k > 4.

  5. A rectangle's area must exceed 24 square inches. The width is fixed at 4 inches. Which inequality gives the required length L?

    Answer: L > 6

    4L > 24 → L > 6.

  6. Solve for y: 3 − 2y ≥ y + 12

    Answer: y ≤ −3

    3 − 12 ≥ 3y → −9 ≥ 3y → y ≤ −3.

  7. Which description represents the solution to |x| ≤ 3?

    Answer: All real numbers between −3 and 3, inclusive

    |x| ≤ 3 means −3 ≤ x ≤ 3.