Exploring Absolute Value Concepts

The video tutorial covers the concept of absolute value, explaining it as the distance from zero on a number line and as a way to make numbers positive. It discusses solving absolute value equations, highlighting that solutions can be both positive and negative. The tutorial provides examples and practice problems, emphasizing the importance of checking solutions to ensure accuracy. It also addresses complex problems and potential pitfalls, such as equations with no solutions.

What is the most common way to think about absolute value?

• As the negative version of the number inside

• As the positive version of the number inside

• As the distance from one

• As the distance from zero

What is the absolute value of -12?

• 0

• 12

• -12

• 24

How many solutions can an absolute value equation have?

• Three

• None

• Two

• One

What happens if you try to solve the absolute value of x equals a negative number?

• You get one solution

• You get an infinite number of solutions

• You get two solutions

• You get no solution

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

• Divide both sides by a constant

• Add a constant to both sides

• Isolate the absolute value expression

• Multiply both sides by a constant

When solving absolute value equations, what should you do after isolating the absolute value?

• Combine like terms

• Set up two separate equations

• Take the square root of both sides

• Square both sides

In the equation |x + 1| = 4, what are the possible values of x?

• 3 and -3

• 4 and -4

• 3 and -5

• 2 and -2

What should you always do after solving an absolute value equation?

• Check your answers

• Add a constant to both sides

• Divide by a constant

• Multiply by a constant

In the equation |2x + 2| = 8, what are the possible values of x?

• 4 and -4

• 3 and -4

• 2 and -2

• 3 and -5

What is the solution to the equation |2x + 7| = -2?

• No solution

• x = 0

• x = 2

• x = -2