Solving Absolute Value & Graphs 2025

Solving Absolute Value & Graphs 2025

Assessment

Flashcard

Mathematics

10th - 11th Grade

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of 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 an absolute value equation?

Back

To solve an equation of the form |A| = B, you set up two separate equations: A = B and A = -B.

3.

FLASHCARD QUESTION

Front

What is the graph of an absolute value function?

Back

The graph of an absolute value function is a V-shaped graph that opens upwards, with the vertex at the point where the expression inside the absolute value equals zero.

4.

FLASHCARD QUESTION

Front

What does the equation |x - 3| = 5 represent?

Back

It represents two equations: x - 3 = 5 and x - 3 = -5, leading to solutions x = 8 and x = -2.

5.

FLASHCARD QUESTION

Front

How many solutions does the equation |x + 4| = 0 have?

Back

It has one solution, x = -4, since the absolute value can only equal zero at one point.

6.

FLASHCARD QUESTION

Front

What is the effect of adding a constant outside the absolute value?

Back

Adding a constant outside the absolute value shifts the graph vertically. For example, |x| + 2 shifts the graph of |x| up by 2 units.

7.

FLASHCARD QUESTION

Front

What is the solution set for |2x + 3| = 7?

Back

The solution set is x = 2 and x = -5.

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