Understanding One-Step Equations

The video tutorial from Moomoomath explains how to solve a one-step equation, x + 8 = 5, using opposite operations. It begins with a quick demonstration and then provides a detailed, step-by-step explanation in slow motion. The tutorial emphasizes the importance of isolating the variable by subtracting 8 from both sides and checking the solution by substituting back into the original equation. The video concludes by verifying that the solution is correct.

What is the first step in solving the equation x + 8 = 5?

• Subtract 8 from both sides

• Multiply both sides by 8

• Add 8 to both sides

• Divide both sides by 8

What operation is used to isolate x in the equation x + 8 = 5?

• Addition

• Multiplication

• Subtraction

• Division

When subtracting 8 from both sides of the equation x + 8 = 5, what is the result on the left side?

• 5

• 0

• x

• x + 8

What is the result of 5 - 8?

• 8

• 0

• -3

• 3

What is the sign of the result when subtracting a larger number from a smaller number?

• Negative

• Positive

• Undefined

• Zero

What is the purpose of drawing a line when solving equations?

• To add numbers

• To keep the work organized

• To separate the equation

• To multiply numbers

How do you verify the solution x = -3 for the equation x + 8 = 5?

• By dividing both sides by 3

• By multiplying both sides by -3

• By substituting -3 back into the equation

• By adding 3 to both sides

What is the result of substituting x = -3 back into the equation x + 8?

• 0

• 8

• 5

• -3