Distributing Monomials and Combining Like Terms

In this video, Miss Smith explains how to distribute a monomial across terms within parentheses. She provides examples using different monomials, such as 4b and -7h, and emphasizes the importance of handling signs correctly. The video also covers combining like terms after distribution and ensuring the final expression is in standard form. The tutorial concludes with a preview of the next topic: multiplying binomials.

What is the main topic discussed in this video tutorial?

• Factoring polynomials

• Solving quadratic equations

• Distributing a monomial

• Graphing linear equations

What is the first step in distributing a monomial?

• Subtract the coefficients

• Divide the coefficients

• Add the coefficients

• Multiply the coefficients

What happens to the variable when distributing a monomial?

• It is multiplied

• It is subtracted

• It is divided

• It is ignored

When distributing a monomial, what happens to the exponents of like bases?

• They are added

• They remain unchanged

• They are subtracted

• They are multiplied

In the example with 4b, what is the result of distributing 4b to the term 5?

• 4b

• 5b

• 9b

• 20b

What is the result of distributing 4b to b^2?

• 4b^4

• 4b

• 4b^2

• 4b^3

What is the result of distributing 4b to b?

• 4b

• 4b^3

• 4

• 4b^2

What is the result of distributing 4b to 6?

• 4b

• 24b

• 20b

• 6b

What is the standard form of a polynomial?

• Terms arranged by coefficient size

• Terms arranged in descending order of exponents

• Terms arranged alphabetically

• Terms arranged in ascending order of exponents

How do you handle negative signs when distributing a negative monomial?

• Convert them to fractions

• Be careful with signs and solve as usual

• Treat them as positive

• Ignore them