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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. Solve for x: −3x + 6 > 15

    Answer: x < −3

    −3x > 9 → x < −3 (flip when dividing by −3).

  2. What is the graph of 2x + 1 < 7 on a number line?

    Answer: Open circle at 3, arrow left

    2x < 6 → x < 3; strict inequality uses open circle, arrow pointing left.

  3. Jacob can spend no more than $50. He picks up one book at $14. Each additional book costs $9. What is the maximum number of additional books he can buy?

    Answer: 4

    14 + 9b ≤ 50 → 9b ≤ 36 → b ≤ 4.

  4. Solve: 4 < 2x + 2 ≤ 12

    Answer: 1 < x ≤ 5

    Subtract 2 from all parts: 2 < 2x ≤ 10; divide by 2: 1 < x ≤ 5.

  5. The sum of a number and 6 is at most 10. Which inequality represents this?

    Answer: n + 6 ≤ 10

    'At most 10' means ≤ 10, so n + 6 ≤ 10.

  6. Which value of y does NOT satisfy 3y − 2 < 10?

    Answer: y = 4

    3y < 12 → y < 4; y = 4 does not satisfy y < 4.

  7. At a carnival, rides cost $2.50 each and food costs $8. Leila has $28. After buying food, how many rides can she go on at most?

    Answer: 8

    8 + 2.50r ≤ 28 → 2.50r ≤ 20 → r ≤ 8.