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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. Which of the following values of x satisfies 2x − 5 > 3?

    Answer: x = 5

    2x > 8 → x > 4; only x = 5 satisfies this.

  2. Solve for x: 3x + 4 ≤ 19

    Answer: x ≤ 5

    3x ≤ 15 → x ≤ 5.

  3. A student needs to score at least 75 on a 25-question test worth 4 points each. Which inequality represents scoring at least 75?

    Answer: 4n ≥ 75

    Score = 4n; 'at least 75' means 4n ≥ 75.

  4. For which value of x is 4 − 2x < −6?

    Answer: x = 6

    −2x 5 (flip when dividing by −2); only x = 6 works.

  5. Which inequality represents all values of x on the number line to the right of −3, including −3?

    Answer: x ≥ −3

    To the right of −3 and including −3 means x ≥ −3.

  6. If 5x − 1 ≥ 2x + 11, what is the least integer value of x?

    Answer: 4

    3x ≥ 12 → x ≥ 4; the least integer is 4.

  7. Rosa needs at least $1.25 to use a vending machine. She has d dollars. Which inequality shows she can buy a snack?

    Answer: d ≥ 1.25

    She needs at least $1.25, so d ≥ 1.25.