What is the distributive property in algebra?

The distributive property states that $$a(b + c) = ab + ac$$ , allowing you to multiply a single term by two or more terms inside parentheses.

How do you expand the expression $$(a + b)(c + d)$$ ?

To expand $$(a + b)(c + d)$$ , use the distributive property: $$ac + ad + bc + bd$$ .

A function is a relation that assigns exactly one output for each input, often expressed as $$f(x)$$ .

What is the vertex of a parabola in standard form?

The vertex of a parabola given by $$f(x) = a(x-h)^2 + k$$ is the point (h, k).

What is the quadratic formula?

The quadratic formula is used to find the roots of a quadratic equation and is given by $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ .

What does it mean for two lines to be perpendicular?

Two lines are perpendicular if the product of their slopes is -1; they intersect at a right angle.

How do you determine the y-intercept from a linear equation?

The y-intercept can be found by setting $$x = 0$$ in the equation $$y = mx + b$$ , resulting in $$y = b$$ .

What is the significance of the constant term in a quadratic function?

The constant term in a quadratic function, $$c$$ , represents the y-intercept of the graph.

2023 Practice STAAR Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

How do you find the zeros of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

5.

FLASHCARD QUESTION

Front

What is a linear function?

Back

6.

FLASHCARD QUESTION

Front

How do you model a total cost function with a flat shipping fee?

Back

7.

FLASHCARD QUESTION

Front

What is the meaning of parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts; they never intersect.

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