Alg 2 - Review #2 - Solving Equations and Absolute Values

Alg 2 - Review #2 - Solving Equations and Absolute Values

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of an absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

2.

FLASHCARD QUESTION

Front

How do you solve the inequality |x| < a?

Back

To solve |x| < a, you split it into two inequalities: -a < x < a.

3.

FLASHCARD QUESTION

Front

What is the solution to the inequality |x| > a?

Back

To solve |x| > a, you split it into two inequalities: x < -a or x > a.

4.

FLASHCARD QUESTION

Front

What does the inequality |2x + 5| > 11 represent?

Back

It represents two separate inequalities: 2x + 5 > 11 or 2x + 5 < -11.

5.

FLASHCARD QUESTION

Front

How do you isolate x in the equation |x - 3| = 7?

Back

You set up two equations: x - 3 = 7 and x - 3 = -7, then solve for x.

6.

FLASHCARD QUESTION

Front

What is the first step in solving |2x + 12| < 8?

Back

The first step is to set up the two inequalities: 2x + 12 < 8 and 2x + 12 > -8.

7.

FLASHCARD QUESTION

Front

What is the solution to the inequality |2w - 1| < 11?

Back

The solution is -5 < w < 6.

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