The Solution of an Equation (Part 1)

The video tutorial explains the concept of equations, which are two expressions related by an equal sign. It demonstrates solving a one-step equation by finding a value for the variable that makes the equation true. The tutorial then progresses to solving a multi-step equation by testing values from a given set to find the correct solution. The importance of following the order of operations is emphasized throughout the process.

What is an equation?

• A statement that cannot be solved

• A number that is always greater than zero

• A mathematical operation involving addition

• A statement with two expressions related by an equal sign

In the equation x plus 5 equals 9, what is the value of x?

• 4

• 3

• 6

• 5

What is the first step in solving a multi-step equation?

• Multiply all numbers by zero

• Guess the solution

• Add all numbers together

• Substitute and test each value in the set

Which value is a solution for the equation 3x - 3 = 3?

• 3

• 2

• 4

• 1

Why is 3 not a solution for the equation 3x - 3 = 3?

• Because 3 times 3 equals 3, and 3 minus 3 equals 0

• Because 3 times 3 equals 6, and 6 minus 3 equals 3

• Because 3 times 3 equals 9, and 9 minus 3 equals 6

• Because 3 times 3 equals 12, and 12 minus 3 equals 9