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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: 7x − 4 = 3x + 12

    Answer: x = 4

    Subtract 3x: 4x − 4 = 12; add 4: 4x = 16; x = 4.

  2. A car rental costs $20 per day plus $0.15 per mile. Jake paid $47 for a one-day rental. How many miles did he drive?

    Answer: 180 miles

    20 + 0.15m = 47 → 0.15m = 27 → m = 180.

  3. If 3(2x − 1) = 21, what is the value of x?

    Answer: x = 4

    Divide by 3: 2x − 1 = 7; add 1: 2x = 8; x = 4.

  4. Solve for t: (3t + 6)/3 = 8

    Answer: t = 6

    Multiply both sides by 3: 3t + 6 = 24; subtract 6: 3t = 18; t = 6.

  5. The sum of two consecutive integers is 47. What is the smaller integer?

    Answer: 23

    n + (n+1) = 47 → 2n = 46 → n = 23.

  6. If 4 − 3x = −11, what is the value of x?

    Answer: x = 5

    Subtract 4: −3x = −15; divide by −3: x = 5.

  7. A gym membership costs $50 to join and $30 per month. Mia has spent $230 total. For how many months has she been a member?

    Answer: 6 months

    50 + 30m = 230 → 30m = 180 → m = 6.