Understanding One-Step Equations with Addition and Subtraction

The video tutorial from Moomoomath explains how to solve one-step equations using addition and subtraction. It begins with a quick demonstration of solving x - 5 = 7 by adding 5 to both sides, resulting in x = 12. The tutorial then provides a detailed step-by-step explanation of the process, emphasizing the importance of performing the same operation on both sides of the equation. The video also covers solving equations with different sign numbers, such as x - 2 = -10, and explains how to handle negative numbers. Finally, it demonstrates how to verify solutions by plugging them back into the original equations.

What is the first step in solving the equation x - 5 = 7?

• Add 5 to both sides

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 5 from both sides

After adding 5 to both sides of the equation x - 5 = 7, what is the value of x?

• 10

• 12

• 7

• 5

What is the purpose of adding the same number to both sides of an equation?

• To make the equation more complex

• To eliminate variables

• To change the equation

• To keep the equation balanced

In the equation x - 2 = -10, what operation should be performed to isolate x?

• Divide both sides by 2

• Multiply both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

What is the result of adding 2 to both sides of the equation x - 2 = -10?

• x = -12

• x = -8

• x = 12

• x = 8

When solving x - 2 = -10, what is the result of -10 + 2?

• 12

• -12

• -8

• 8

What happens when you add a positive and a negative number?

• You add and take the sign of the smaller number

• You always get a negative number

• You always get a positive number

• You subtract and take the sign of the larger number

How can you verify that x = 12 is the correct solution for x - 5 = 7?

• By checking if 12 + 5 equals 7

• By checking if 12 - 5 equals 7

• By checking if 12 / 5 equals 7

• By checking if 12 * 5 equals 7

What is the result of plugging x = -8 back into the equation x - 2 = -10?

• 10

• 12

• -10

• -12

Why is it important to verify your solution in an equation?

• To ensure the solution is correct

• To make the equation more difficult

• To change the solution

• To eliminate the need for further calculations