Distributing and Combining Like Terms

The video tutorial explains how to simplify a mathematical expression by first clearing parentheses through distribution and then combining like terms. It begins with distributing the number seven across terms inside the parentheses, followed by distributing negative three due to subtraction. After distribution, the tutorial demonstrates how to combine like terms, including x squared terms, x terms, and constants, to arrive at the simplified expression: 3x squared minus 40x plus 29.

What is the first step in simplifying an expression with parentheses?

• Subtract terms

• Add constants

• Distribute terms

• Combine like terms

When distributing 7 across the terms inside the parentheses, what is the result of 7 times 3x squared?

• 14x squared

• 35x squared

• 28x squared

• 21x squared

What is the result of distributing 7 to the term -4x?

• -28x

• 28x

• -14x

• 14x

Why do we distribute -3 in the expression?

• Because of division

• Because of addition

• Because of subtraction

• Because of multiplication

What is the result of distributing -3 to the term 6x squared?

• 12x squared

• -18x squared

• 18x squared

• -12x squared

What is the result of distributing -3 to the term -5?

• 10

• -15

• 15

• -10

What is the result of combining the x squared terms 21x squared and -18x squared?

• 5x squared

• 3x squared

• 2x squared

• 1x squared

What is the result of combining the x terms -28x and -12x?

• -10x

• -20x

• -30x

• -40x

What is the result of combining the constants 14 and 15?

• 31

• 30

• 29

• 25

What is the final simplified form of the expression?

• 3x squared - 30x + 29

• 3x squared - 40x + 29

• 3x squared - 40x + 19

• 3x squared - 30x + 19