Solving Linear Equations Steps

The video tutorial explains how to solve linear equations step-by-step. It begins with solving the equation 24 + 8n = 80 by isolating the variable n. The process involves subtracting 24 from both sides and then dividing by 8 to find n = 7. The solution is verified by substituting back into the original equation. A second equation, 24 = n - 4, is then solved by adding 4 to both sides and dividing by 7 to find n = 4. This solution is also verified. The tutorial emphasizes the importance of checking solutions to ensure accuracy.

What is the first step in solving the equation 24 + 8n = 80?

• Divide both sides by 8

• Add 24 to both sides

• Multiply both sides by 8

• Subtract 24 from both sides

After subtracting 24 from both sides of the equation 24 + 8n = 80, what is the resulting equation?

• 8n = 80

• 8n = 24

• 8n = 104

• 8n = 56

What operation is used to isolate n in the equation 8n = 56?

• Subtraction

• Multiplication

• Addition

• Division

What is the value of n when you solve 8n = 56?

• 9

• 6

• 7

• 8

What is the opposite operation of multiplication when solving equations?

• Exponentiation

• Addition

• Division

• Subtraction

Why is it important to double-check your solution in math?

• To practice more equations

• To confuse the solver

• To make the process longer

• To ensure the solution is correct

What is the new equation introduced after solving 24 + 8n = 80?

• 24 = n + 4

• 24 = n / 4

• 24 = n - 4

• 24 = 4n

What is the first step in solving the equation 24 = n - 4?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 4

• Divide both sides by 4

After adding 4 to both sides of the equation 24 = n - 4, what is the resulting equation?

• n = 28

• n = 20

• n = 24

• n = 30

What is the opposite operation of subtraction when solving equations?

• Exponentiation

• Division

• Multiplication

• Addition