Solving Linear Equations Steps

The video tutorial from Moomoomath and Science demonstrates solving two algebraic equations. The first part focuses on solving the equation -6 = n/2 - 10 by isolating the variable n, verifying the solution, and confirming that n equals 8. The second part addresses solving a two-step equation, -9x + 1 = -80, by isolating x and verifying that x equals 9. The video concludes with a call to action to subscribe for daily math and science content.

What is the first step in solving the equation -6 = n/2 - 10?

• Multiply both sides by 2

• Divide both sides by 2

• Add 10 to both sides

• Subtract 10 from both sides

After isolating n/2, what operation is used to solve for n?

• Add 2 to both sides

• Multiply by 2

• Divide by 2

• Subtract 2 from both sides

What is the value of n that satisfies the equation -6 = n/2 - 10?

• 6

• 10

• 8

• 4

How do you verify the solution for n in the original equation?

• Multiply n by 2

• Add 10 to n

• Divide n by 2

• Substitute n back into the equation

What is the first step in solving the equation -9x + 1 = -80?

• Add 1 to both sides

• Divide both sides by 9

• Subtract 1 from both sides

• Multiply both sides by 9

What is the result of dividing -81 by 9?

• 81

• -81

• 9

• -9

What is the value of x that satisfies the equation -9x + 1 = -80?

• 9

• 8

• 10

• 7

What operation is performed after isolating -9x in the equation -9x + 1 = -80?

• Subtract 9 from both sides

• Divide by 9

• Multiply by 9

• Add 9 to both sides

What is the result of 9 times 9 in the verification process?

• -9

• 9

• -81

• 81

What is the final step in verifying the solution for x?

• Subtract 1 from the product

• Add 1 to the product

• Multiply the product by 9

• Divide the product by 9