Learn How To Solve an Absolute Value Equation and Check Your Answers

The video tutorial covers solving equations involving absolute values. It begins with simplifying equations and isolating the absolute value. The instructor explains multiplying by the reciprocal and how to handle whole numbers and fractions. The tutorial then demonstrates creating two cases for solving equations and emphasizes the importance of checking solutions to ensure they are not extraneous.

What is the first step in solving an equation involving absolute values?

• Multiply by the reciprocal

• Cross multiply

• Simplify the equation

• Add fractions

What is the result of multiplying a number by its reciprocal?

• The original number

• One

• A fraction

• Zero

How do you multiply a whole number by a fraction?

• Divide the whole number by the fraction

• Rewrite the whole number as a fraction over one

• Add the whole number to the fraction

• Cross multiply

What is the correct method to multiply fractions?

• Multiply across

• Subtract the denominators

• Cross multiply

• Add the numerators

When creating two cases for an absolute value equation, what must you remember to do?

• Only change the sign of one term

• Add the terms together

• Multiply the terms by two

• Change the signs of both terms

Why is it beneficial to make the variable positive when solving equations?

• It is a required step

• It is the only way to solve the equation

• It makes the solution extraneous

• It simplifies the equation

What should you do if your solution to an equation is negative?

• Add fractions

• Multiply by the reciprocal

• Check for extraneous solutions

• Accept it as correct