Simplifying Expressions and Distributions

The video tutorial explains how to simplify polynomial expressions by clearing parentheses and combining like terms. It covers the addition and subtraction of polynomials, emphasizing the importance of distributing positive or negative coefficients to clear parentheses. The tutorial also demonstrates how to multiply terms and arrange them in descending order, ensuring the correct combination of like terms. The examples provided guide viewers through the process of simplifying expressions step-by-step.

What is the first step in simplifying expressions?

• Divide by the highest coefficient

• Add all constants first

• Clear the parentheses

• Multiply all terms by zero

What is the result of simplifying (-x + 4) + (-3x + 7)?

• -4x + 11

• -2x + 11

• -4x + 7

• -2x + 7

When simplifying (6x - 4) - (-2x + 5), what should you distribute?

• Negative 1

• Positive 1

• Negative 2

• Zero

What is the simplified form of (6x - 4) - (-2x + 5)?

• 8x - 9

• 4x + 1

• 8x + 1

• 4x - 9

What is the result of distributing -7 in -7(2x - 3)?

• -14x - 21

• 14x + 21

• 14x - 21

• -14x + 21

What is the simplified form of -7(2x - 3) - 2x?

• -16x - 21

• -12x + 21

• -16x + 21

• -12x - 21

What is the result of distributing 7x in 7x(-3x + 5)?

• -21x^2 + 35x

• 21x^2 - 35x

• 21x^2 + 35x

• -21x^2 - 35x

What is the simplified form of 7x(-3x + 5) + (3x^2 + 4x - 8)?

• -18x^2 - 39x - 8

• -18x^2 - 39x + 8

• -18x^2 + 39x - 8

• -18x^2 + 39x + 8

In the expression 7x(-3x + 5) + (3x^2 + 4x - 8), which term is the constant?

• 5

• -8

• 4x

• 3x^2

Why is it important to write terms in descending order?

• It makes the expression longer

• It reduces the number of terms

• It helps in identifying the highest degree term

• It simplifies the multiplication process