What does it mean to complete the square?

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form $$(x - p)^2 = q$$ .

What is the difference between a rational and an irrational number?

A rational number can be expressed as a fraction $$\frac{a}{b}$$ where a and b are integers and b ≠ 0; an irrational number cannot be expressed as a simple fraction.

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 discriminant in a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$b^2 - 4ac$$ , which determines the nature of the roots.

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

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 process of factoring a polynomial?

Factoring a polynomial involves expressing it as a product of its factors.

What is the significance of the x-intercepts of a function?

The x-intercepts are the points where the function crosses the x-axis, indicating the values of x for which the function equals zero.

Algebra 2 1st Semester Final Exam (P1) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Evaluate the expression: -3x^2 - 5x + 7 when x = -2.

Back

5

4.

FLASHCARD QUESTION

Front

Identify the mistake in the following steps to complete the square for y = 3x^2 + 6x - 5: Step 1: (3x^2 + 6x) - 5; Step 2: (3x^2 + 6x + 9 - 9) - 5; Step 3: (3x^2 + 6x + 9) - 9 - 5; Step 4: 3(x^2 + 2x + 3) - 9 - 5; Step 5: 3(x + 1)^2 - 14.

Back

He should have factored by 3 in Step 1.

5.

FLASHCARD QUESTION

Front

How do you write a complex number in its standard form?

Back

a - bi.

6.

FLASHCARD QUESTION

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables and coefficients, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

7.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

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