Solving and graphing an absolute value inequality

Solving and graphing an absolute value inequality

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to solve absolute value inequalities by first isolating the absolute value, then creating compound inequalities. It covers the concept of absolute value as the distance from zero and demonstrates how to solve and graph these inequalities, emphasizing the importance of understanding the intersection of solutions.

Read more

7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an absolute value inequality?

Graph the inequality

Multiply both sides by a negative number

Isolate the absolute value

Add a constant to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the absolute value of a number represent?

The number itself

The negative of the number

The square of the number

The distance from zero

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving absolute value inequalities, what must you do after isolating the absolute value?

Multiply by a negative number

Add a constant to both sides

Graph the solution

Create two cases

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key difference between solving an inequality and an equation?

Equations have no solutions

Inequalities require flipping the sign when multiplying or dividing by a negative

Inequalities are always greater than zero

Equations require graphing

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the solution set for an 'and' compound inequality?

By solving each inequality separately

By finding the union of the solutions

By finding the intersection of the solutions

By graphing only one inequality

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of circle is used on a graph for 'less than or equal to' inequalities?

Open circle

Closed circle

No circle

Dashed circle

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing the solution to W ≥ -11, which direction should you shade?

Both directions

No shading is needed

To the left

To the right