Exploring Adding and Subtracting Rational Expressions

This video tutorial covers simplifying expressions by combining like terms and using the distributive property. It begins with warm-up exercises, followed by a detailed explanation of simplifying expressions. The video includes practice problems and concludes with an application problem involving points scored in a game. The goal is to simplify algebraic expressions to their simplest form by eliminating like terms and parentheses.

What is the first step in simplifying an algebraic expression?

• Subtracting variables

• Combining like terms

• Distributing

• Adding constants

What is the result of combining like terms in the expression -3x + 2x?

• x

• -x

• 5x

• -5x

What is the simplified form of the expression 3(2x + 4)?

• 3x + 12

• 2x + 12

• 6x + 12

• 6x + 4

In the expression 4w + 36 - w, what is the result after combining like terms?

• 3w + 36

• 5w + 36

• 3w + 35

• 4w + 35

What is the simplified form of 2/5y + 1/4y - 2?

• 13/20y - 2

• 13/20y + 2

• 13/20y - 1

• 13/20y + 1

What is the result of distributing and combining like terms in 25 + 9z - 18 + 2z?

• 11z + 7

• 11z - 7

• 7z + 7

• 7z - 7

What is the simplified form of 17x + 12y - 12x - 3y?

• 29x + 9y

• 5x - 9y

• 5x + 9y

• 29x - 9y

What is the result of combining like terms in 3d + 15 + 2d + 16?

• 5d + 32

• 5d + 33

• 5d + 30

• 5d + 31

What is the simplified form of 35k + 14 + 6 - 18k?

• 17k + 20

• 17k + 21

• 17k + 18

• 17k + 19

If Arianna scored P points, Ben scored P + 7 points, and Chloe scored 2(P + 7) points, what is the total score in simplest form?

• 3P + 21

• 3P + 14

• 4P + 14

• 4P + 21