Understanding One-Step Linear Equations

The video tutorial explains how to solve one-step linear equations, even when the variable is on the right side. It provides two examples: solving 108 = 9x by dividing both sides by 9, and solving 12 = x / 7 by multiplying both sides by 7. The tutorial emphasizes that the steps to isolate the variable are the same regardless of its position in the equation.

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

• Isolate the variable by performing the opposite operation

• Multiply both sides by zero

• Subtract a constant from both sides

• Add a constant to both sides

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

• Addition

• Division

• Subtraction

• Multiplication

What is the solution to the equation 108 = 9x?

• x = 9

• x = 12

• x = 0

• x = 108

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

• By subtracting 9 from the solution

• By dividing 108 by the solution

• By adding 9 to the solution

• By checking if 9 times the solution equals 108

What is the first step in solving the equation 12 = x / 7?

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 7

• Divide both sides by 7

What is the solution to the equation 12 = x / 7?

• x = 1

• x = 84

• x = 7

• x = 12

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

• By multiplying 12 by 7

• By checking if 84 divided by 7 equals 12

• By adding 7 to 12

• By subtracting 7 from 84

What is the common form of writing the solution for x in one-step equations?

• x - number = 0

• x = number

• x + number = 0

• number = x

Why is it important to verify the solution of an equation?

• To ensure the solution is correct

• To find a different solution

• To change the equation

• To make the equation more complex

What is the opposite operation of division in solving equations?

• Multiplication

• Addition

• Exponentiation

• Subtraction