Solving Linear Equations: Test 5 Review

The video tutorial covers solving linear equations in one variable. It begins with an introduction to the problem, followed by simplifying each side of the equation using the distributive property. The tutorial then demonstrates how to isolate the variable and solve for it. Finally, the solution is verified by substituting back into the original equation.

What property is used to simplify the expressions on both sides of the equation?

• Commutative Property

• Distributive Property

• Identity Property

• Associative Property

What is the first step in solving the equation presented in the video?

• Isolate the variable

• Substitute values

• Simplify each side

• Combine like terms

What is the result of combining -3n and -6n?

• -3n

• 9n

• -9n

• 3n

What is the simplified form of the left side of the equation after distribution and combining like terms?

• 8n + 38

• -8n + 38

• -8n - 38

• 8n - 38

Which operation is performed to move all variable terms to one side of the equation?

• Multiplication

• Subtraction

• Addition

• Division

What is the value of n after isolating the variable on one side?

• 8

• -8

• 0

• 1

After rearranging, what is the coefficient of n on the right side of the equation?

• -1

• 9

• 1

• -9

What operation is used to eliminate the constant term when isolating the variable n?

• Division

• Multiplication

• Subtraction

• Addition

How do you verify the solution of the equation?

• Add the same number to both sides

• None of the above

• Multiply both sides by n

• Substitute the value back into the original equation

What does the final check of the solution involve?

• All of the above

• Ensuring the equation is balanced

• Confirming n equals -8

• Substituting n = -8 into the equation