Simplifying Expressions and Combining Terms

This video tutorial from Mumu Math and Science explains how to combine like terms to simplify mathematical expressions. It covers the basic rules for combining terms with the same variables, using coefficients, and ordering terms with exponents. The video provides three examples, demonstrating how to identify and combine like terms in different expressions, ensuring clarity and accuracy in simplification. The tutorial emphasizes visual techniques like underlining and boxing terms to aid in the process.

What does it mean to combine like terms in an expression?

• Adding all numbers together

• Combining terms with the same variables

• Multiplying all terms

• Subtracting constants from variables

If a variable does not have a number in front, what is the assumed coefficient?

• 10

• 1

• 2

• 0

How should you write a term with a constant and a variable multiplied together?

• Variable first, then constant

• Constant as a coefficient before the variable

• Constant after the variable

• Variable squared

In the expression 11n + 7n^2 - 3n^2 + 2n + 4, what is the simplified form?

• 13n + 7n^2 + 4

• 11n + 7n^2 + 2n + 4

• 13n + 4n^2 + 4

• 9n + 4n^2 + 4

When combining like terms, what should you do with terms that have exponents?

• Subtract the exponents

• Write the term with the larger exponent first

• Add the exponents together

• Ignore the exponents

What is the result of combining 4b + 3b + 10b?

• 7b

• 17b

• 10b

• 14b

What is the first step in simplifying an expression with multiple like terms?

• Subtract constants

• Identify and group like terms

• Underline all variables

• Multiply all terms

In the expression 5x - x + 2x^2 + 13 + 8x - 4 - x^2, what is the simplified form?

• x^2 + 12x + 9

• x^2 + 14x + 9

• 2x^2 + 14x + 9

• 2x^2 + 12x + 9

What is the simplified form of 5x - x + 8x?

• 8x

• 10x

• 14x

• 12x

In the expression 13 - 4, what is the result?

• 9

• 17

• 10

• 7