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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 11 − 3x = 2, what is the value of 6x?

    Answer: 18

    Solving gives x = 3, so 6x = 18.

  2. A catering company charges a $75 setup fee plus $18 per guest. A client's total bill was $399. How many guests attended?

    Answer: 18

    18g + 75 = 399 → 18g = 324 → g = 18.

  3. Solve for x: 3x/4 − 2 = 7

    Answer: 12

    3x/4 = 9 → x = 12.

  4. In the equation 2(ax − 3) = 14, if x = 2 what is a?

    Answer: 5

    2(2a − 3) = 14 → 4a − 6 = 14 → 4a = 20 → a = 5.

  5. A delivery driver's earnings are modeled by E = 12h + 8d, where h is hours worked and d is deliveries made. If the driver worked 5 hours and earned $92, how many deliveries did they make?

    Answer: 4

    92 = 12(5) + 8d → 92 = 60 + 8d → 8d = 32 → d = 4.

  6. Solve for x: 5 − (2x + 3) = −6

    Answer: 8

    5 − 2x − 3 = −6 → 2 − 2x = −6 → −2x = −8 → x = 4.

  7. If (2x + 1)/3 = (x + 5)/2, what is the value of x?

    Answer: 13

    Cross-multiplying: 2(2x + 1) = 3(x + 5) → 4x + 2 = 3x + 15 → x = 13.