What is the quadratic formula?

The quadratic formula is $$x = \\frac{{-b \\pm \\sqrt{{b^2 - 4ac}}}}{{2a}}$$ for the equation $$ax^2 + bx + c = 0$$ .

What is the definition of a function?

A function is a relation that assigns exactly one output for each input.

What is the vertex form of a quadratic function?

The vertex form of a quadratic function is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex.

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

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

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

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

What is the relationship between the slopes of parallel and perpendicular lines?

Parallel lines have equal slopes, while perpendicular lines have slopes that are negative reciprocals of each other.

What is a system of equations?

A system of equations is a set of two or more equations with the same variables.

What does it mean for a system of equations to be consistent?

A consistent system has at least one solution, while an inconsistent system has no solutions.

Semester Exam Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

(x - 3)(x + 3)

2.

FLASHCARD QUESTION

Front

Back

(3x - 8)(2x^2 - 5)

3.

FLASHCARD QUESTION

Front

Back

Domain: [1, ∞), Range: [4, ∞)

4.

FLASHCARD QUESTION

Front

Back

one solution

5.

FLASHCARD QUESTION

Front

Back

(x - 2)(x^2 + 2x + 4)

6.

FLASHCARD QUESTION

Front

What is the difference of squares?

Back

7.

FLASHCARD QUESTION

Front

What is the formula for factoring a perfect square trinomial?

Back

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