Combining Like Terms and Coefficients

The video tutorial explains how to combine like terms in algebra, focusing on terms with negative coefficients. It begins by defining coefficients and their role in algebraic expressions. The tutorial then demonstrates how to combine like terms, emphasizing the importance of matching variables. Several examples are provided, illustrating how to handle both positive and negative coefficients. The video concludes with a final example and a summary of the key points discussed.

What is the main focus of the video tutorial?

• Solving quadratic equations

• Combining like terms with negative coefficients

• Graphing linear equations

• Factoring polynomials

What is a coefficient in an algebraic expression?

• The variable in the expression

• The constant term in the expression

• The exponent of the variable

• The number in front of the variable

What is the coefficient of k in the expression 3k?

• 3

• -1

• 1

• 0

If there is no number in front of a variable, what is the assumed coefficient?

• Negative one

• One

• Two

• Zero

If a variable has a negative sign in front, what is its coefficient?

• Two

• Negative one

• One

• Zero

What is the result of combining -1k and 3k?

• -4k

• 4k

• -2k

• 2k

How do you combine 5n and -7n?

• -2n

• -12n

• 2n

• 12n

What is the result of combining 5n and -7n, and then adding 6?

• 2n + 6

• 2n - 6

• -2n - 6

• -2n + 6

What should you do if you make a mistake while combining like terms?

• Start over

• Ask for help

• Correct it immediately

• Ignore it

What is the result of combining -4 and 6?

• -10

• -2

• 10

• 2