Mastering Order of Operations with Polynomials

What is the first step in simplifying the expression 2 * (X - 1) + 3 * (2X - 3) - (4X - 5)?

• Subtract the constants

• Add the constants

• Distribute the multiplication

• Combine like terms

When distributing the multiplication in the expression 2 * (X - 1), what do you get?

• 2X - 2

• 2X + 2

• X + 2

• X - 2

How do you handle the negative sign in the expression - (4X - 5)?

• Multiply it by 2

• Distribute it as -1

• Add it to the constants

• Ignore it

What is the result of combining the like terms 2X, 6X, and -4X?

• 6X

• 2X

• 0X

• 4X

What is the simplified form of the constants -2, -9, and 5?

• -7

• -6

• -5

• -4

In the second example, what is the first step after distributing the negative sign?

• Combine like terms

• Distribute the multiplication

• Simplify the constants

• Rewrite the expression

What happens to the terms X and -X in the second example?

• They are divided

• They are multiplied

• They cancel each other out

• They are added together

What is the result of distributing -3 in the expression -3 * (X - 9)?

• -3X + 27

• 3X - 27

• 3X + 27

• -3X - 27

What is the final simplified form of the expression 2X - 3X + 27?

• X + 27

• -X + 27

• X - 27

• -X - 27

What is the importance of following the order of operations in simplifying expressions?

• To avoid multiplication

• To add more steps

• To make the expression longer

• To get the correct answer