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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 4x + 5 = 2x + 17, what is the value of x²?

    Answer: 36

    4x − 2x = 17 − 5 → 2x = 12 → x = 6; x² = 36.

  2. A nurse gives patients 0.5 mg of medication per pound of body weight. A patient received 87.5 mg. How much does the patient weigh in pounds?

    Answer: 175

    0.5w = 87.5 → w = 175.

  3. Solve for m: 7 − 4m = 3m − 7

    Answer: 2

    7 + 7 = 3m + 4m → 14 = 7m → m = 2.

  4. A subscription service costs $8 per month after a one-time $20 registration fee. Jasmine has paid $68 in total. For how many months has she subscribed?

    Answer: 7

    8m + 20 = 68 → 8m = 48 → m = 6.

  5. If the equation kx − 4 = 2x + 8 has the solution x = 6, what is the value of k?

    Answer: 4

    6k − 4 = 12 + 8 → 6k = 24 → k = 4.

  6. Solve for x: 2(x − 3) + 5 = 3(x − 1) − 2

    Answer: 4

    2x − 6 + 5 = 3x − 3 − 2 → 2x − 1 = 3x − 5 → −x = −4 → x = 4.

  7. On a number line, point P is at position 3x − 1 and point Q is at position x + 9. If P and Q represent the same location, what is the position of the point?

    Answer: 14

    3x − 1 = x + 9 → 2x = 10 → x = 5; position = x + 9 = 14.

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