Simplifying Expressions and Operations

The video tutorial explains how to simplify the expression 16x + 14 minus the entire expression 3x squared + x - 9. It covers the process of subtracting an entire expression by adding the opposite, distributing the negative sign across terms, and combining like terms. The final simplified expression is -3x squared + 15x + 23.

What is the initial expression that needs to be simplified?

• 16x + 14 minus 3x squared + x - 9

• 16x + 14 plus 3x squared + x - 9

• 16x + 14 minus 3x squared - x + 9

• 16x - 14 minus 3x squared + x - 9

What is the first step in subtracting an entire expression?

• Divide the expression by 2

• Add the expression directly

• Multiply the expression by 2

• Add the opposite of the expression

How do you distribute a negative sign across an expression?

• Multiply each term by 2

• Add 1 to each term

• Subtract 1 from each term

• Multiply each term by -1

What is the result of multiplying negative 1 by positive x?

• Negative x

• Positive x

• Positive 1

• Zero

What is the result of multiplying negative 1 by negative 9?

• Positive 9

• Negative 1

• Negative 9

• Zero

What is the highest degree term in the expression?

• Negative 3x squared

• Positive 9

• 14

• 16x

How do you combine 16x and -1x?

• 14x

• 15x

• 17x

• 16x

What is the sum of the constant terms 14 and 9?

• 5

• 23

• 14

• 19

What is the final simplified expression?

• Negative 3x squared plus 15x plus 23

• 3x squared minus 15x minus 23

• Negative 3x squared minus 15x minus 23

• 3x squared plus 15x plus 23

What is the degree of the final simplified expression?

• First degree

• Second degree

• Third degree

• Zero degree