Simplifying Expressions and Combining Like Terms

The video tutorial explains how to simplify algebraic expressions by combining like terms. It starts with one-variable expressions, emphasizing the importance of keeping track of signs. The tutorial then progresses to handling multiple variables, demonstrating how to group and simplify terms. Finally, it covers more complex expressions involving multiplication of variables, highlighting the use of the distributive property. Throughout, the tutorial stresses the importance of identifying like terms and maintaining accuracy in calculations.

What is the first step in simplifying a one-variable expression?

• Factor out the variable

• Group like terms

• Combine constants

• Add all terms together

How do you handle the constants in a one-variable expression?

• Subtract them from the variable terms

• Ignore them

• Add them separately

• Multiply them by the variable

What is the result of simplifying 3x + 7x - 2x?

• 12x

• 8x

• 10x

• 6x

What is the simplified form of 4 - 3?

• 0

• 3

• 1

• 7

What changes when simplifying expressions with two variables?

• The method of grouping terms

• The need to factor out variables

• The use of constants

• The number of like terms

How do you simplify 3a + 3a - 4a?

• 5a

• 0

• 2a

• 6a

What is the result of combining 2b - 3b?

• b

• 5b

• -b

• 0

What is the simplified form of 3a + 3a - 4a?

• 2a

• 5a

• 6a

• 0

What is the result of combining 2b - 3b?

• 0

• -b

• b

• 5b

What is the simplified form of 3a + 3a - 4a?

• 0

• 6a

• 2a

• 5a