Solving Equations with Parentheses and Variables

The video tutorial from Moomoomath and Science demonstrates how to solve the equation -10 = 10(K - 9). It begins by distributing the 10 across the terms in parentheses, resulting in 10K - 90 = -10. The tutorial then shows how to isolate the variable K by adding 90 to both sides and dividing by 10, leading to the solution K = 8. The solution is verified by substituting K back into the original equation. The video concludes with a reminder to subscribe for more math and science content.

What is the first step in solving the equation -10 = 10(K - 9)?

• Multiply both sides by 10

• Distribute the 10 across the parentheses

• Subtract 9 from both sides

• Add 10 to both sides

After distributing, what operation is used to eliminate the -90 on one side of the equation?

• Divide both sides by 90

• Add 90 to both sides

• Multiply both sides by 90

• Subtract 90 from both sides

What is the result of adding 90 to both sides of the equation?

• 10K = 80

• 10K = 70

• 10K = 100

• 10K = 90

How do you solve for K after obtaining the equation 10K = 80?

• Add 10 to both sides

• Multiply both sides by 10

• Subtract 10 from both sides

• Divide both sides by 10

What is the value of K after solving the equation?

• K = 8

• K = 9

• K = 7

• K = 10

How can you verify the solution K = 8 in the original equation?

• Substitute K with 8 and check if both sides are equal

• Add 8 to both sides and check the result

• Subtract 8 from both sides and verify

• Multiply K by 8 and compare

What is the result of substituting K = 8 back into the original equation?

• The equation becomes 0 = 0

• The equation becomes 10 = 10

• The equation becomes 8 = 8

• The equation becomes -10 = -10

What does the video encourage viewers to do at the end?

• Leave a comment

• Watch another video

• Subscribe and share the video

• Solve more equations