Understanding Absolute Value Equations

The video tutorial by Mr. J covers absolute value equations, focusing on those with one solution and those with no solution. It begins with an introduction to the concept of absolute value and its properties. The tutorial then provides examples of equations with one solution, explaining the process of solving them. It highlights that when the absolute value equals zero, there is one solution. The video also covers equations with no solution, emphasizing that absolute values cannot be negative. Through examples, it demonstrates how to identify and solve these types of equations.

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 equals 0, what is the value of x?

• x = -1

• x = 10

• x = 0

• x = 1

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

• One solution

• Two solutions

• Three solutions

• No solution

What is the first step in solving the equation 5m - 15 = 0?

• Divide both sides by 5

• Multiply both sides by 5

• Add 15 to both sides

• Subtract 15 from both sides

What is the solution for m in the equation |5m - 15| = 0?

• m = 3

• m = 2

• m = 1

• m = 0

Why can't the absolute value of a number be negative?

• Because it can be any number

• Because it is always positive or zero

• Because it is always zero

• Because it is always negative

What is the result of the equation |x| = -5?

• No solution

• x = -5

• x = 5

• x = 0

In the equation |w + 7| = -11, what can be concluded?

• w = 4

• No solution

• w = 11

• w = -4

What is the first step in solving the equation -2 * |3a - 14| = 16?

• Divide both sides by -2

• Add 2 to both sides

• Multiply both sides by -2

• Subtract 2 from both sides

What is the conclusion for the equation |3a - 14| = -8?

• a = 8

• a = -8

• No solution

• a = 0