Solving Basic Algebraic Equations

This video tutorial covers solving equations in one variable, focusing on four examples: addition, subtraction, fraction, and multiplication equations. The instructor explains each example step-by-step, demonstrating how to transform and solve the equations using inverse operations. The video concludes with a call to action for feedback and engagement.

What is the first step in solving an equation in one variable?

• Subtract the same number from both sides

• Divide both sides by zero

• Add the same number to both sides

• Multiply both sides by zero

In the equation x + 4 = 9, what operation should be performed to isolate x?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

What is the value of x in the equation x + 4 = 9?

• 5

• 9

• 7

• 3

What is the general rule when an equation involves addition?

• Convert it to addition

• Convert it to subtraction

• Convert it to division

• Convert it to multiplication

What happens to the terms on both sides of an equation when you add the same number to both sides?

• They increase by that number

• They decrease by that number

• They become zero

• They remain unchanged

What is the result when you subtract a number from itself?

• Negative of the number

• One

• Zero

• The number itself

In the equation x - 2 = 7, what operation should be performed to solve for x?

• Add 2 to both sides

• Multiply both sides by 2

• Subtract 2 from both sides

• Divide both sides by 2

What is the value of x in the equation x - 2 = 7?

• 11

• 5

• 7

• 9

What is the general rule when an equation involves subtraction?

• Convert it to addition

• Convert it to subtraction

• Convert it to division

• Convert it to multiplication

What happens to the terms on both sides of an equation when you subtract the same number from both sides?

• They become zero

• They increase by that number

• They decrease by that number

• They remain unchanged