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Algebra reflection cards

Algebra Rules Flashcards

Revise exponent laws, linear equations, factoring patterns, slope, and the quadratic formula.

12 flashcards Secondary school Reviewed Jul 15, 2026
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Flashcards

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  1. Question 1

    What is the distributive property for a(b + c)?

    Answer

    a(b + c) = ab + ac.

  2. Question 2

    How do you multiply powers with the same base?

    Answer

    Add the exponents: x^m × x^n = x^(m+n).

  3. Question 3

    How do you divide powers with the same nonzero base?

    Answer

    Subtract the exponents: x^m ÷ x^n = x^(m−n), where x ≠ 0.

  4. Question 4

    What is the power-of-a-power rule?

    Answer

    (x^m)^n = x^(mn).

  5. Question 5

    What is the zero-exponent rule?

    Answer

    x^0 = 1 for x ≠ 0.

  6. Question 6

    What does a negative exponent mean?

    Answer

    x^(−n) = 1/x^n for x ≠ 0.

  7. Question 7

    What is the slope formula for two points?

    Answer

    m = (y₂ − y₁)/(x₂ − x₁), provided x₂ ≠ x₁.

  8. Question 8

    What is the slope-intercept form of a straight line?

    Answer

    y = mx + b, where m is the slope and b is the y-intercept.

  9. Question 9

    What is the quadratic formula for ax² + bx + c = 0?

    Answer

    x = (−b ± √(b² − 4ac))/(2a), where a ≠ 0.

  10. Question 10

    How does a difference of squares factor?

    Answer

    a² − b² = (a − b)(a + b).

  11. Question 11

    When can algebraic terms be combined as like terms?

    Answer

    When their variable parts, including exponents, are identical. Add or subtract only their coefficients.

  12. Question 12

    How do you solve ax + b = c when a ≠ 0?

    Answer

    Subtract b, then divide by a: x = (c − b)/a.