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Mathematics Algebra Flashcards

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

Read the first 8 Mathematics Algebra flashcards as text

  1. Solve for x: 3x + 7 = 22.

    Answer: x = 5

    Subtract 7: 3x = 15. Divide by 3: x = 5.

  2. Simplify: 2(x + 4) + 3x.

    Answer: 5x + 8

    Expand: 2x + 8 + 3x. Combine like terms: 5x + 8.

  3. Factorise fully: x^2 - 9.

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

    x^2 - 9 is a difference of two squares: x^2 - 3^2 = (x + 3)(x - 3).

  4. If f(x) = 2x - 5, what is f(4)?

    Answer: 3

    Substitute x = 4: f(4) = 2(4) - 5 = 8 - 5 = 3.

  5. Solve the inequality: x - 6 < 2.

    Answer: x < 8

    Add 6 to both sides: x < 8.

  6. Solve for x: x^2 = 49.

    Answer: x = 7 or x = -7

    Both 7 and -7 squared equal 49, so x = 7 or x = -7.

  7. Make y the subject: 2y + x = 10.

    Answer: y = (10 - x)/2

    Subtract x: 2y = 10 - x. Divide by 2: y = (10 - x)/2.

  8. Expand: (x + 2)(x + 3).

    Answer: x^2 + 5x + 6

    FOIL: x^2 + 3x + 2x + 6 = x^2 + 5x + 6.