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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 is in the solution set of both x > −2 and x ≤ 5?

    Answer: x = 0

    Need −2 < x ≤ 5; x = 0 satisfies both.

  2. Solve for x: 5x − 8 < 3x + 4

    Answer: x < 6

    2x < 12 → x < 6.

  3. A taxi driver wants to earn more than $120 in a shift at $3 per mile. He has driven 20 miles. How many more miles m must he drive?

    Answer: m > 20

    3(20 + m) > 120 → 60 + 3m > 120 → 3m > 60 → m > 20.

  4. If −3 ≤ x ≤ 5, what is the greatest possible value of 2x − 1?

    Answer: 9

    Maximize by choosing x = 5: 2(5) − 1 = 9.

  5. Which point is in the region defined by y > 2x − 3 AND y < −x + 6?

    Answer: (1, 2)

    Test (1, 2): 2 > −1 ✓; 2 < 5 ✓.

  6. Solve for n: 3n + 4 > −8 AND 2n − 1 ≤ 5

    Answer: Both A and B express the same solution

    n > −4 and n ≤ 3; options A and B state the same solution in different notation.

  7. Which value of t satisfies 2t + 1 ≥ 7 but NOT t − 3 > 4?

    Answer: t = 3

    2t ≥ 6 → t ≥ 3; t > 7 excluded; t = 3 satisfies t ≥ 3 and not t > 7.