Simplifying Algebraic Expressions Challenge

The video tutorial explains the concept of terms in algebra, including constants, variables, and combinations of both. It guides students on how to identify and box terms in an expression by looking at plus and minus signs. The tutorial further explains how to simplify expressions by combining like terms, which are terms with the same variable and exponent. The instructor demonstrates organizing terms into columns based on variables and constants, and then combining their coefficients to simplify the expression. The final expression is presented, emphasizing the importance of understanding like terms in algebra.

Which of the following is an example of a constant?

• x

• 15

• 3y

• -z

What is a term that consists of both a number and a variable called?

• Coefficient

• Variable

• Constant

• Term

How can you identify the start and end of a term in an algebraic expression?

• By looking at the multiplication signs

• By looking at the division signs

• By looking at the plus and minus signs

• By looking at the equal signs

What is the coefficient of the variable in the term -g?

• 0

• 1

• g

• -1

Which of the following is a correct term from the expression: 15 - g + 12e - 8g - 18e + 12 - 3g?

• -8

• 15g

• 12e

• 3g

How many different variables are present in the expression: 15 - g + 12e - 8g - 18e + 12 - 3g?

• 1

• 4

• 2

• 3

What is the sum of the coefficients of the variable g in the expression: -g - 8g - 3g?

• -11

• -12

• -10

• -9

What is the result of combining the like terms 12e and -18e?

• -6e

• -30e

• 6e

• 30e

What is the final simplified expression of: 15 - g + 12e - 8g - 18e + 12 - 3g?

• -6e - 12g + 27

• 6e + 12g - 27

• -6e + 12g - 27

• 6e - 12g + 27

Why is it important to bring down the positive sign when writing the final expression?

• To avoid leaving a gap with no operator

• To indicate subtraction

• To indicate division

• To indicate multiplication