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Algebra and Linear Equations Flashcards

6 cards from real IMSA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Algebra and Linear Equations flashcards as text
  1. Solve the inequality: 4x - 3 > 13

    Answer: x > 4

    Adding 3 gives 4x > 16, then dividing by 4 gives x > 4.

  2. What is the value of y in the equation 2y + 5 = 3y - 7?

    Answer: y = 12

    Subtracting 2y from both sides gives 5 = y - 7, so y = 12.

  3. A car rental costs $25 per day plus $0.10 per mile. Which equation represents the total cost C for d days and m miles?

    Answer: C = 25d + 0.10m

    The total cost is the daily rate times days plus the per-mile rate times miles: C = 25d + 0.10m.

  4. If y = 2x + 1, what is x when y = 15?

    Answer: x = 7

    Substituting y = 15 gives 15 = 2x + 1, so 2x = 14, meaning x = 7.

  5. What is the slope of a line perpendicular to y = (1/4)x + 3?

    Answer: −4

    A perpendicular slope is the negative reciprocal of 1/4, which is -4.

  6. Solve: 2(x − 4) = 3x + 6

    Answer: x = −14

    Expanding gives 2x - 8 = 3x + 6, so -x = 14, meaning x = -14.