How to Solve a One Step Absolute Value Equation

How to Solve a One Step Absolute Value Equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve absolute value inequalities by setting up two cases: one where the value inside the absolute value is positive and another where it is negative. The process involves removing the absolute value to create two separate equations, solving them, and then verifying the solutions by substituting back into the original equation.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Multiply both sides by a constant

Set up two cases for the equation

Combine like terms

Add a constant to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When removing the absolute value, what are the two equations formed from |3X| = 18?

3X = 18 and 3X = -18

3X = 18 and 3X = 0

3X = 18 and 3X = 6

3X = 18 and 3X = 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution for X when solving the equation 3X = 18?

X = 3

X = 6

X = 9

X = 12

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you verify the solution X = 6 in the original equation?

By checking if 3 * 6 equals 18

By checking if 3 * 6 equals -18

By checking if 3 * 6 equals 0

By checking if 3 * 6 equals 12

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the absolute value of -18?

18

36

-18

0

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