Combining Like Terms and Operations

The video tutorial covers solving multi-step equations using distribution and combining like terms. It begins with an introduction to the concept, followed by a detailed explanation of distribution in equations. The instructor demonstrates solving equations step-by-step, emphasizing the importance of combining like terms. Several example problems are solved to reinforce the concepts. The tutorial concludes with a final example and closing remarks.

What is the first step in solving multi-step equations using distribution?

• Distribute the coefficients

• Divide by the largest coefficient

• Add all terms together

• Subtract the constants

What does it mean when two terms have the same 'last name'?

• They are coefficients

• They are constants

• They have the same variable

• They are in the same equation

What operation is indicated by parentheses in an equation?

• Division

• Addition

• Multiplication

• Subtraction

In the order of operations, what does 'P' stand for?

• Power

• Product

• Proportion

• Parentheses

How do you combine like terms in an equation?

• Multiply their coefficients

• Add their coefficients

• Subtract their coefficients

• Divide their coefficients

What is the result of distributing 3 * (2x + 2)?

• 6x + 2

• 6x + 6

• 3x + 6

• 3x + 2

What is the next step after distributing in a multi-step equation?

• Subtract constants

• Divide by the coefficient

• Add all terms

• Combine like terms

If 8x + 6 = 46, what is the value of x?

• 4

• 5

• 7

• 6

What is the first step in solving 2 * (3x + 4)?

• Divide by 2

• Subtract 4 from 3x

• Multiply 2 by 3x and 4

• Add 3x and 4

What is the result of 2 * 3x?

• 3x

• 6x

• 9x

• 12x