Solving One-Step Equations: Key Concepts and Examples

The video tutorial reviews solving one-step equations, focusing on isolating the variable using inverse operations. It covers examples of equations involving addition, subtraction, multiplication, and division, demonstrating how to solve each type and verify the solution by substituting back into the original equation.

What is the primary goal when solving a one-step equation?

• To get the variable alone on one side of the equation

• To add numbers to both sides

• To multiply both sides by the same number

• To divide both sides by the same number

What is the inverse operation of adding 7 to a variable?

• Adding 7

• Multiplying by 7

• Dividing by 7

• Subtracting 7

If you have the equation x - 3 = 14, what should you do to isolate x?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the result of 13 - 7?

• 5

• 6

• 8

• 7

How can you verify that your solution to an equation is correct?

• By adding the solution to both sides

• By multiplying the solution by both sides

• By plugging the solution back into the original equation

• By dividing the solution by both sides

In the equation 7x = 56, what operation should be used to isolate x?

• Divide both sides by 7

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

What does the fraction bar represent in the equation x / 2 = 12?

• Addition

• Subtraction

• Multiplication

• Division

What is the inverse operation of dividing by 2?

• Dividing by 2

• Multiplying by 2

• Subtracting 2

• Adding 2

If x / 2 = 12, what is the value of x?

• 48

• 12

• 24

• 6

How can you check if x = 24 is the correct solution for the equation x / 2 = 12?

• By adding 24 to both sides

• By subtracting 24 from both sides

• By multiplying 24 by 2 and checking if it equals 12

• By dividing 24 by 2 and checking if it equals 12