Solving One Step Equations with Multiplication and Division

The video tutorial explains how to solve one-step linear equations where the variable is on the right side. It demonstrates solving two examples: 108 = 9x and 12 = x / 7. The process involves isolating the variable by performing inverse operations, such as division and multiplication, to both sides of the equation. The tutorial emphasizes that the solution can be written in different forms, such as x = 12 or 12 = x, and verifies the solutions by substituting back into the original equations.

What is the first step in solving a one-step linear equation with the variable on the right side?

• Subtract a constant from both sides

• Multiply both sides by a constant

• Add a constant to both sides

• Isolate the variable

In the equation 108 = 9x, what operation is used to isolate x?

• Addition

• Division

• Subtraction

• Multiplication

What is the value of x in the equation 108 = 9x?

• 13

• 10

• 11

• 12

Why is 12 = x equivalent to x = 12?

• Because x is always on the right side

• Because 12 is a constant

• Because both represent the same value for x

• Because it is a rule in algebra

How can you verify the solution to the equation 108 = 9x?

• By substituting x with 12 and checking the equality

• By adding 9 to both sides

• By subtracting 9 from both sides

• By multiplying x by 9

In the equation 12 = x/7, what operation is used to isolate x?

• Multiplication

• Addition

• Division

• Subtraction

What is the value of x in the equation 12 = x/7?

• 85

• 83

• 82

• 84

How can you verify the solution to the equation 12 = x/7?

• By dividing x by 7

• By adding 7 to both sides

• By subtracting 7 from both sides

• By substituting x with 84 and checking the equality

What is the opposite operation of dividing by 7?

• Dividing by 7

• Subtracting 7

• Multiplying by 7

• Adding 7

What is the key takeaway from solving one-step linear equations with the variable on the right side?

• The steps are different from when the variable is on the left side

• The steps are the same as when the variable is on the left side

• It is more difficult to solve

• It requires more steps