Definition: Absolute Value

The distance of a number from zero on the number line, denoted as |x|.

Definition: Inequality

A mathematical statement that compares two expressions, indicating that one is less than, greater than, or not equal to the other.

Definition: Roots of an Equation

The values of x that satisfy the equation, making it true.

Definition: Completing the Square

A method used to solve quadratic equations by rewriting them in the form $$(x - p)^2 = q$$ .

Definition: Rational Expression

An expression that can be written as a fraction of two polynomials.

Definition: Discriminant

In a quadratic equation $$ax^2 + bx + c = 0$$ , the discriminant is $$D = b^2 - 4ac$$ , which determines the nature of the roots.

Algebra 2 Exam 2024 Flashcards: 15 Cards (10th Grade)

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15 questions

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1.

FLASHCARD QUESTION

Front

Factor Completely: $x^4 - 9x^2$

Back

$x^2(x + 3)(x - 3)$

2.

FLASHCARD QUESTION

Front

Solve for x: |x - 6| + 4 = 10

Back

x = 12 and x = 0

3.

FLASHCARD QUESTION

Front

Solve the inequality: s - 10 ≤ 1

Back

s ≤ 11

4.

FLASHCARD QUESTION

Front

Complete Step 1: FACTOR $\frac{x^2 - 5x + 6}{x^2 - 4} \cdot \frac{(x + 6)(x + 5)}{x^2 + 2x - 15}$

Back

$\frac{(x - 3)(x - 2)}{(x + 2)(x - 2)} \cdot \frac{(x + 6)(x + 5)}{(x + 5)(x - 3)}$

5.

FLASHCARD QUESTION

Front

Solve for y: $2y^2 + 2 = 9y$

Back

$y = \frac{9 \pm \sqrt{65}}{4}$

6.

FLASHCARD QUESTION

Front

Definition: Quadratic Equation

Back

An equation of the form $ax^2 + bx + c = 0$ where a, b, and c are constants and a ≠ 0.

7.

FLASHCARD QUESTION

Front

Definition: Factoring

Back

The process of breaking down an expression into a product of simpler factors.

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