What is the vertex of a parabola?

The vertex is the highest or lowest point of a parabola, depending on its orientation. It can be found using the formula $$x = -\frac{b}{2a}$$ for the x-coordinate.

What is the discriminant in a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$b^2 - 4ac$$ . It determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

What is a linear equation?

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form $$y = mx + b$$ .

What is the y-intercept of a line?

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form $$y = mx + b$$ .

How do you determine if a table represents a function?

A table represents a function if each input (x-value) corresponds to exactly one output (y-value). No x-value should repeat with a different y-value.

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$ax^2 + bx + c = 0$$ , where a, b, and c are constants and a ≠ 0.

What is the significance of the coefficient 'a' in a quadratic equation?

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

What is a table of values?

A table of values is a way to organize pairs of input (x) and output (y) values to represent a function or relation.

Mixed Algebra 1 STAAR Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the rate of change in a linear function?

Back

The rate of change is the ratio of the change in the dependent variable to the change in the independent variable, often represented as the slope (m) in the equation of a line, y = mx + b.

2.

FLASHCARD QUESTION

Front

What is a root of an equation?

Back

3.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

4.

FLASHCARD QUESTION

Front

How do you solve a quadratic equation?

Back

5.

FLASHCARD QUESTION

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In a function, no two ordered pairs can have the same first element.

6.

FLASHCARD QUESTION

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y. This can be represented in a table, graph, or equation.

7.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

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