Math Flashcard

Math Flashcard

Assessment

Flashcard

Mathematics

Professional Development

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

2.

FLASHCARD QUESTION

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that satisfy the equation, found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

3.

FLASHCARD QUESTION

Front

How do you factor a quadratic expression like q² + 14q + 48?

Back

To factor q² + 14q + 48, look for two numbers that multiply to 48 and add to 14. The factors are (q + 6)(q + 8).

4.

FLASHCARD QUESTION

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

5.

FLASHCARD QUESTION

Front

What does it mean for a quadratic to have complex roots?

Back

Complex roots occur when the discriminant is negative, resulting in roots that include imaginary numbers.

6.

FLASHCARD QUESTION

Front

How can you determine the vertex of a parabola represented by a quadratic equation?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))) where f(x) is the quadratic function.

7.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

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