Expressions and Combining Like Terms

The video tutorial explains how to work with algebraic expressions by adding and subtracting them. It begins with defining two expressions, a and b, and demonstrates how to add them by combining like terms. The tutorial then moves on to a subtraction example, showing how to distribute a negative sign across an expression. The video emphasizes understanding the process of combining like terms and distributing negatives to simplify expressions.

What is the expression for a in terms of M, N, and P?

• 6M - 4N - 7P

• 7M - 3N + 5P

• 6M + 4N + 7P

• 7M + 3N - 5P

What is the expression for b in terms of M, N, and P?

• 7M + 3N - 5P

• 6M + 4N + 7P

• 7M - 3N + 5P

• 6M - 4N - 7P

What is the result of adding the M terms from expressions a and b?

• 14M

• 13M

• 12M

• 10M

What is the result of combining the N terms from expressions a and b?

• -7N

• -8N

• -6N

• -5N

What is the result of combining the P terms from expressions a and b?

• -3P

• -2P

• -1P

• 0P

What is the first step in solving the subtraction problem?

• Combine like terms

• Distribute the negative sign

• Multiply the expressions

• Add the expressions directly

What is the result of subtracting the X terms in the subtraction problem?

• -4X

• 4X

• 12X

• -12X

What is the result of combining the Y terms in the subtraction problem?

• 0Y

• 4Y

• -4Y

• 8Y

What is the result of combining the Z terms in the subtraction problem?

• -2Z

• -3Z

• -4Z

• -5Z

What is the final expression after solving the subtraction problem?

• -4X + 4Y - 4Z

• -4X - 4Y + 4Z

• 4X - 4Y + 4Z

• 4X + 4Y - 4Z