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SAT General 10 Flashcards

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

Read the first 6 SAT General 10 flashcards as text

  1. Which of the following is equivalent to (3x² + 2x − 8) / (x² − 4)?

    Answer: (3x − 4) / (x − 2)

    Factor the numerator: 3x² + 2x − 8 = (3x − 4)(x + 2). Factor the denominator: x² − 4 = (x + 2)(x − 2). Cancel the common (x + 2) factor to get (3x − 4)/(x − 2).

  2. A train travels at 60 mph for 2.5 hours, then at 80 mph for 1.5 hours. What is the total distance traveled?

    Answer: 270 miles

    Distance = rate × time. First leg: 60 × 2.5 = 150 miles. Second leg: 80 × 1.5 = 120 miles. Total: 150 + 120 = 270 miles.

  3. Consider the system of equations below. What is the value of x + y? 3x + 2y = 16 x − y = 2

    Answer: 6

    From the second equation, x = y + 2. Substitute into the first: 3(y + 2) + 2y = 16 → 5y + 6 = 16 → y = 2, x = 4. Therefore x + y = 6.

  4. A jacket originally priced at $120 is marked down by 15%. What is the sale price?

    Answer: $102.00

    A 15% discount means the customer pays 85% of the original price. 120 × 0.85 = $102.00.

  5. If x² − 5x + 6 = 0, what is the sum of all values of x that satisfy the equation?

    Answer: 5

    Factor the equation: (x − 2)(x − 3) = 0, giving x = 2 or x = 3. The sum of the solutions is 2 + 3 = 5.

  6. If f(x) = 2x² − 3x + 1, what is the value of f(4)?

    Answer: 21

    Substitute x = 4: f(4) = 2(4²) − 3(4) + 1 = 2(16) − 12 + 1 = 32 − 12 + 1 = 21.