Algebraic Equations and Their Solutions

The video tutorial introduces algebraic equations, explaining how to solve them using basic operations like addition, subtraction, multiplication, and division. It emphasizes the importance of inverse operations and demonstrates solving equations step-by-step, including more complex ones requiring multiple steps. The tutorial concludes with a comprehension check to ensure understanding of the concepts.

What is the first step in solving an equation like x + 2 = 5?

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 5 to both sides

• Divide both sides by 5

If n - 4 = 17, what operation should be performed to isolate n?

• Multiply both sides by 4

• Divide both sides by 4

• Add 4 to both sides

• Subtract 4 from both sides

How do you solve the equation 4d = 20 for d?

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

In the equation y/8 = 3, what is the correct step to find y?

• Add 8 to both sides

• Divide both sides by 8

• Multiply both sides by 8

• Subtract 8 from both sides

When solving 4 - b = 7, what is the final step to find b?

• Add 4 to both sides

• Multiply both sides by -1

• Divide both sides by -1

• Subtract 4 from both sides