Solving Absolute-Value Equations

Solving Absolute-Value Equations

Assessment

Flashcard

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is 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

What does it mean to solve an absolute-value equation?

Back

To solve an absolute-value equation, you must find all values of the variable that make the equation true, considering both the positive and negative scenarios.

3.

FLASHCARD QUESTION

Front

What is the first step in solving an absolute-value equation?

Back

Isolate the absolute value expression on one side of the equation.

4.

FLASHCARD QUESTION

Front

What is the solution to the equation |x| = a, where a > 0?

Back

The solutions are x = a and x = -a.

5.

FLASHCARD QUESTION

Front

What is the solution to the equation |x| = 0?

Back

The only solution is x = 0.

6.

FLASHCARD QUESTION

Front

What happens if an absolute-value equation equals a negative number?

Back

There are no solutions, as absolute values cannot be negative.

7.

FLASHCARD QUESTION

Front

Solve the equation: |−2n| + 10 = −50

Back

No Solution.

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