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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. Solve for x: (5x − 3)/4 = (3x + 1)/2

    Answer: −5

    5x − 3 = 2(3x + 1) → 5x − 3 = 6x + 2 → −x = 5 → x = −5.

  2. A charity sells raffle tickets at $4 each and event tickets at $7 each. In total, 50 tickets are sold for $260. How many raffle tickets were sold?

    Answer: 30

    4r + 7(50 − r) = 260 → 4r + 350 − 7r = 260 → −3r = −90 → r = 30.

  3. If 7 − 2(3x − 1) = 3, what is x?

    Answer: 1

    7 − 6x + 2 = 3 → 9 − 6x = 3 → 6x = 6 → x = 1.

  4. A fitness tracker shows that Emily burns 8 calories per minute of running. After a workout she had burned 360 calories total, including 40 calories from warm-up. How many minutes did she run?

    Answer: 45

    8m + 40 = 360 → 8m = 320 → m = 40.

  5. In the equation 4x + r = 2x − 5, if r = 3 what is x?

    Answer: −4

    4x + 3 = 2x − 5 → 2x = −8 → x = −4.

  6. Solve for x: 4(x − 2) = 2(x + 1) + 2

    Answer: 6

    4x − 8 = 2x + 2 + 2 → 4x − 8 = 2x + 4 → 2x = 12 → x = 6.

  7. A ladder is 3 feet shorter than twice the height of a wall. The ladder is 15 feet long. How tall is the wall?

    Answer: 9

    2h − 3 = 15 → 2h = 18 → h = 9.