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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 โ€” missed cards come back until you master them.

Read the first 6 Algebra and Linear Equations flashcards as text
  1. Solve for x: 3x + 7 = 22

    Answer: x = 5

    Subtracting 7 from both sides gives 3x = 15, so x = 5.

  2. Which of the following is the slope-intercept form of a linear equation?

    Answer: y = mx + b

    y = mx + b is the slope-intercept form where m is the slope and b is the y-intercept.

  3. If 2x - 3y = 12 and x = 0, what is the value of y?

    Answer: y = -4

    Substituting x = 0 gives -3y = 12, so y = -4.

  4. What is the solution to the system: x + y = 10 and x - y = 4?

    Answer: x = 7, y = 3

    Adding the equations gives 2x = 14, so x = 7, and substituting back gives y = 3.

  5. A line passes through (2, 5) and (4, 9). What is its slope?

    Answer: 2

    Slope = (9 - 5)/(4 - 2) = 4/2 = 2.

  6. Simplify: 4(2x - 3) + 2(x + 5)

    Answer: 10x - 2

    Distributing gives 8x - 12 + 2x + 10 = 10x - 2.