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Elementary Algebra Flashcards

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

Read the first 7 Elementary Algebra flashcards as text

  1. What is the solution to the inequality 2x + 5 > 11?

    Answer: x > 3

    Subtracting 5 gives 2x > 6, then dividing by 2 gives x > 3.

  2. Factor the expression: x² - 9

    Answer: (x + 3)(x - 3)

    x² - 9 is a difference of squares: (x + 3)(x - 3).

  3. If 5 - 2x = -3, what is x?

    Answer: 4

    Subtracting 5 gives -2x = -8, then dividing by -2 gives x = 4.

  4. A train travels at 60 mph. Which equation shows the distance d after t hours?

    Answer: d = 60t

    Distance = rate × time, so d = 60t.

  5. Which pair of values (x, y) satisfies both x + y = 7 and x - y = 3?

    Answer: (5, 2)

    Adding the equations gives 2x = 10, so x = 5; then y = 7 - 5 = 2.

  6. Evaluate: -3² + (−3)²

    Answer: 0

    -3² = -9 and (-3)² = 9, so -9 + 9 = 0.

  7. What is the y-intercept of the line y = -4x + 7?

    Answer: 7

    In slope-intercept form y = mx + b, the y-intercept is b = 7.

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