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Mixed Deck — All Algebra Test Topics Flashcards

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

Read the first 20 Mixed Deck — All Algebra Test Topics flashcards as text

  1. The vertical line test determines whether a graph is:

    Answer: A function

    The vertical line test checks if any vertical line intersects the graph more than once; if not, it is a function.

  2. Solve for y: 7y = 49

    Answer: y = 7

    Divide both sides by 7 to get y = 7.

  3. What is the product of the roots of 2x² - 6x + 4 = 0?

    Answer: 2

    By Vieta's formulas, the product of roots = c/a = 4/2 = 2.

  4. What is √144?

    Answer: 12

    12 × 12 = 144, so √144 = 12.

  5. Multiply: (x + 3)(x - 2).

    Answer: x² + x - 6

    Use FOIL: x² - 2x + 3x - 6 = x² + x - 6.

  6. What is the value of (-8)^(1/3)?

    Answer: -2

    (-8)^(1/3) is the cube root of -8; since (-2)³ = -8, the answer is -2.

  7. Subtract: (4x² - 3x + 2) - (x² + 2x - 5).

    Answer: 3x² - 5x + 7

    Distribute the negative: 4x² - 3x + 2 - x² - 2x + 5 = 3x² - 5x + 7.

  8. A consistent dependent system has:

    Answer: Infinitely many solutions

    A consistent dependent system represents the same line, giving infinitely many solutions.

  9. Solve: x + 5 > 9

    Answer: x > 4

    Subtract 5 from both sides to get x > 4.

  10. Solve: |x - 2| > 3

    Answer: x > 5 or x < -1

    |x - 2| > 3 means x - 2 > 3 or x - 2 5 or x < -1.

  11. Which function graphs as a straight line?

    Answer: f(x) = 2x + 1

    f(x) = 2x + 1 is a linear function and graphs as a straight line.

  12. Solve x² + 2x - 15 = 0 by factoring.

    Answer: x = 3 and x = -5

    Factor as (x + 5)(x - 3) = 0, giving x = 3 and x = -5.

  13. Factor out the GCF: 6x³ + 9x².

    Answer: 3x²(2x + 3)

    The GCF of 6x³ and 9x² is 3x², giving 3x²(2x + 3).

  14. What notation means 'f composed with g'?

    Answer: f ∘ g

    Function composition is written f ∘ g, meaning f(g(x)).

  15. What is the GCF of 12x³ and 8x²?

    Answer: 4x²

    The GCF of 12 and 8 is 4, and the GCF of x³ and x² is x², giving 4x².

  16. If f(x) = 3x - 2, what is f(4)?

    Answer: 10

    f(4) = 3(4) - 2 = 10.

  17. Solve: 5 - 2x < 1

    Answer: x > 2

    Subtract 5: -2x 2.

  18. What are the solutions to x² - 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factor as (x - 2)(x - 3) = 0, giving x = 2 and x = 3.

  19. Rationalize the denominator of 1/√5.

    Answer: √5/5

    Multiply by √5/√5: (1 · √5)/(√5 · √5) = √5/5.

  20. Solve for x: 5(x - 2) = 15

    Answer: x = 5

    Divide both sides by 5 to get x - 2 = 3, then add 2 to get x = 5.