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Advanced Mathematics Practice Questions Flashcards

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

Read the first 6 Advanced Mathematics Practice Questions flashcards as text

  1. Simplify: (3x²y)(−4xy³)

    Answer: −12x³y⁴

    Multiply coefficients: 3 × (−4) = −12. Add exponents: x² · x¹ = x³, y¹ · y³ = y⁴. Result: −12x³y⁴.

  2. What is the slope of a line perpendicular to the line 2x − 5y = 10?

    Answer: −5/2

    The given line has slope 2/5. The perpendicular slope is the negative reciprocal: −5/2.

  3. Solve: |2x − 3| = 7

    Answer: x = 5 or x = −2

    Set up two equations: 2x − 3 = 7 (x = 5) and 2x − 3 = −7 (x = −2). Both solutions are valid.

  4. A car travels from City A to City B at 60 mph and returns at 40 mph. What is the car's average speed for the entire trip?

    Answer: 48 mph

    Use the harmonic mean: 2(60)(40)/(60+40) = 4800/100 = 48 mph.

  5. Which expression is equivalent to (x + 3)² − (x − 3)²?

    Answer: 12x

    (x+3)² = x²+6x+9 and (x−3)² = x²−6x+9. Subtracting: (x²+6x+9) − (x²−6x+9) = 12x.

  6. A store marks up a wholesale price by 40%, then offers a 15% discount on the marked price. What is the net percentage change from the original wholesale price?

    Answer: 19% increase

    1.40 × 0.85 = 1.19. This means the final price is 119% of the original — a 19% increase overall.