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Linear Equations in One Variable 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 Equations in One Variable flashcards as text

  1. If 6x − 10 = 2(x + 3), what is the value of x?

    Answer: 5

    6x − 10 = 2x + 6 → 4x = 16 → x = 4.

  2. Solve for x: 2x/3 + 4 = x/2 + 7

    Answer: 18

    Multiply by 6: 4x + 24 = 3x + 42 → x = 18.

  3. A tank is filled by Pipe A at 20 gallons per minute and drained by Pipe B at 8 gallons per minute. How many minutes does it take to accumulate 60 gallons?

    Answer: 5

    (20 − 8)t = 60 → 12t = 60 → t = 5.

  4. If 5(x − 3) = 3(x + 1) + 2, what is x?

    Answer: 10

    5x − 15 = 3x + 3 + 2 → 2x = 20 → x = 10.

  5. In the equation 3x − d = x + 11, if d = 1 what is x?

    Answer: 6

    3x − 1 = x + 11 → 2x = 12 → x = 6.

  6. Solve for x: 7(x + 2) = 2(3x + 7)

    Answer: 0

    7x + 14 = 6x + 14 → x = 0.

  7. Three consecutive even integers have a sum of 78. What is the largest of the three integers?

    Answer: 28

    n + (n+2) + (n+4) = 78 → 3n + 6 = 78 → n = 24; largest = 24 + 4 = 28.