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Algebra & Functions Flashcards

7 cards from real SAT practice questions. Tap to flip, then mark Knew It or Still Learning โ€” missed cards come back until you master them.

Read the first 7 Algebra & Functions flashcards as text
  1. If 3x - 7 = 2x + 5, what is the value of x?

    Answer: 12

    Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

  2. A line passes through (0, 4) and (2, 10). What is its slope?

    Answer: 3

    Slope = (10 - 4)/(2 - 0) = 6/2 = 3.

  3. If f(x) = 2x^2 - 3, what is f(-2)?

    Answer: 5

    f(-2) = 2(4) - 3 = 8 - 3 = 5.

  4. What are the solutions to x^2 - 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factoring gives (x - 2)(x - 3) = 0, so x = 2 or x = 3.

  5. If y varies directly with x and y = 12 when x = 4, what is y when x = 7?

    Answer: 21

    The constant is 12/4 = 3, so y = 3(7) = 21.

  6. Simplify the expression (x^3)(x^4).

    Answer: x^7

    When multiplying like bases, add the exponents: 3 + 4 = 7.

  7. If 2(x + 3) = 16, what is x?

    Answer: 5

    Divide by 2 to get x + 3 = 8, then x = 5.