Understanding One-Step Linear Equations

The video tutorial explains how to solve one-step linear equations using integers. It emphasizes the goal of isolating the variable on one side of the equation, regardless of its initial position. Two examples are provided: solving 81 = -9x by dividing both sides by -9, and solving -8 = x / 7 by multiplying both sides by 7. The tutorial concludes with a summary of the methods used.

What is the primary goal when solving one-step linear equations?

• To convert the equation into a quadratic form

• To eliminate all numbers from the equation

• To make both sides of the equation equal

• To find the value of the variable

In the equation 81 = -9x, what operation is needed to isolate x?

• Multiplication

• Subtraction

• Division

• Addition

What is the result of dividing both sides of 81 = -9x by -9?

• x = 81

• x = -9

• x = 9

• x = -81

What is the opposite operation of multiplication when solving equations?

• Subtraction

• Division

• Exponentiation

• Addition

What happens to the sign of a number when you divide a negative by a negative?

• It becomes positive

• It remains unchanged

• It becomes zero

• It becomes negative

In the equation -8 = x / 7, what operation is needed to isolate x?

• Multiplication

• Addition

• Division

• Subtraction

What is the result of multiplying both sides of -8 = x / 7 by 7?

• x = 8

• x = -56

• x = 56

• x = -8

Why is it important to perform the same operation on both sides of an equation?

• To keep the equation balanced

• To change the equation's form

• To make the equation more complex

• To eliminate the variable

In the context of solving equations, what does it mean to 'undo' an operation?

• To repeat the operation

• To simplify the operation

• To perform the opposite operation

• To ignore the operation

What is the result of multiplying a negative number by a positive number?

• Zero

• An undefined number

• A negative number

• A positive number