Quadratic Equations Word Problems

Quadratic Equations Word Problems

Assessment

Flashcard

Mathematics

9th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

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

2.

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.

3.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation tell us?

Back

The discriminant (D = b² - 4ac) determines the nature of the roots of the quadratic equation: if D > 0, there are two distinct real roots; if D = 0, there is one real root; if D < 0, there are no real roots.

4.

FLASHCARD QUESTION

Front

How do you find 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.

5.

FLASHCARD QUESTION

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width (Area = length × width).

6.

FLASHCARD QUESTION

Front

How do you set up an equation for a word problem involving area?

Back

Identify the dimensions involved, express them in terms of a variable, and set up the equation based on the area formula.

7.

FLASHCARD QUESTION

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, e.g., (a + b)² = a² + 2ab + b².

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