What does the 'k' represent in direct and inverse variations?

'k' is the constant of variation, representing the proportionality factor.

What is the difference between direct and inverse variation?

In direct variation, as one variable increases, the other increases (e.g., $$y = kx$$ ). In inverse variation, as one variable increases, the other decreases (e.g., $$y = \frac{k}{x}$$ ).

What is the purpose of the Line of Best Fit?

To model the relationship between two variables in a scatter plot.

How do you find the slope (m) in the equation of a line?

The slope is calculated as $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

What is the vertex of a quadratic function?

The vertex is the highest or lowest point of the parabola, given by the formula $$(-\frac{b}{2a}, f(-\frac{b}{2a}))$$ .

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

The discriminant $$D = b^2 - 4ac$$ determines the nature of the roots: if D > 0, two real roots; D = 0, one real root; D

What is a scatter plot?

A graph that displays values for typically two variables for a set of data.

What does it mean for two variables to be directly proportional?

Two variables are directly proportional if they increase or decrease together, represented by the equation $$y = kx$$ .

What is the general form of a linear equation?

The general form is $$Ax + By + C = 0$$ where A, B, and C are constants.

Algebra 1 Team Decathlon -- Event #5 Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the equation for Quadratic Curve of Best Fit?

Back

2.

FLASHCARD QUESTION

Front

What is the equation for an inverse variation?

Back

3.

FLASHCARD QUESTION

Front

What is the equation for identifying the constant of an inverse variation?

Back

4.

FLASHCARD QUESTION

Front

What is the equation for a direct variation?

Back

5.

FLASHCARD QUESTION

Front

What is the equation for Line of Best Fit?

Back

6.

FLASHCARD QUESTION

Front

Define Quadratic Function.

Back

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

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