Understanding Absolute Value Equations

In this video, Mr. J explains how to solve absolute value equations with one solution. He begins by defining absolute value as the distance from zero and demonstrates this with examples. The first example shows that when the absolute value equals zero, there is only one solution. The second example involves solving the equation 5m - 15 = 0, illustrating the steps to isolate the variable and find the solution. Mr. J emphasizes that when the absolute value equals zero, there is always one solution, regardless of whether the equation is already isolated or needs to be simplified first.

What is the absolute value of a number?

• Its distance from one

• Its distance from negative numbers

• Its distance from zero

• Its distance from infinity

If the absolute value of x is 0, what is the value of x?

• 1

• 0

• -1

• Any number

How many solutions does the equation |y| = 7 have?

• None

• One

• Three

• Two

What are the possible values of y if |y| = 7?

• 7 and 0

• 0 and 7

• -7 and 0

• 7 and -7

In the equation |5m - 15| = 0, what must 5m - 15 equal?

• -15

• 15

• 5

• 0

What is the first step to solve the equation 5m - 15 = 0?

• Add 15

• Divide by 5

• Subtract 15

• Multiply by 5

After isolating m in the equation 5m = 15, what is the value of m?

• 3

• 2

• 1

• 4

What is the absolute value of 0?

• -1

• 1

• 0

• Undefined

When does an absolute value equation have only one solution?

• When it equals a positive number

• When it equals zero

• When it equals a negative number

• When it equals any number

What should you do if the absolute value equation is not isolated?

• Add a constant

• Multiply it by zero

• Ignore it

• Isolate it first