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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 8x + 3 = 51, what is the value of 4x?

    Answer: 24

    8x = 48, so x = 6; 4x = 24.

  2. Solve for x: 3x + 4 = x − 10

    Answer: x = −7

    Subtract x: 2x + 4 = −10; subtract 4: 2x = −14; x = −7.

  3. Two friends split the cost of a gift equally. Each person paid $23.50. What was the total cost?

    Answer: $47.00

    Total = 2 × 23.50 = $47.00.

  4. Solve for n: 4n − 7 = 2(n + 3)

    Answer: n = 6.5

    Expand: 4n − 7 = 2n + 6; subtract 2n: 2n = 13; n = 6.5.

  5. The equation 3(x + k) = 18 has the solution x = 3. What is the value of k?

    Answer: k = 3

    3(3 + k) = 18 → 3 + k = 6 → k = 3.

  6. A parking lot charges $3 for the first hour and $1.50 for each additional hour. Daria paid $9. How many total hours did she park?

    Answer: 5 hours

    3 + 1.50(h − 1) = 9 → 1.50(h−1) = 6 → h−1 = 4 → h = 5.

  7. Solve for x: 5(x − 2) − 3(x + 1) = 11

    Answer: x = 12

    Expand: 5x − 10 − 3x − 3 = 11 → 2x − 13 = 11 → 2x = 24 → x = 12.