Combining Like Terms and Simplifying Expressions

The video tutorial explains how to combine like terms in algebraic expressions. It begins by defining like terms as terms with the same variable and exponent. The instructor provides examples to illustrate the concept, showing how to add and subtract like terms. The tutorial also covers the use of the distributive property to simplify expressions. Throughout, the instructor emphasizes the importance of maintaining the order of terms and provides various examples to reinforce the learning. The video concludes with advanced examples and a summary of key points.

What is the result of combining 3x and 4x?

• 9x

• 8x

• 7x

• 6x

Which of the following are like terms?

• 6x and 6z

• 5x and 5y

• 4x and 4x

• 3x and 3y

What is the simplified form of X + X + 3x + y?

• 4x + y

• 5x + y

• 6x + y

• 7x + y

How do you combine y + 2y?

• 2y

• 3y

• 4y

• 5y

What is the result of 5C - 3C?

• 4C

• 2C

• 1C

• 3C

What is the result of 4 + 3x - 7 - 8x?

• -5x - 3

• -5x + 3

• 5x - 3

• 5x + 3

What is the result of applying the distributive property to 3(x + 2) - 4?

• 3x + 2

• 3x + 8

• 3x + 4

• 3x + 6

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

• -2x - 15

• -2x + 15

• 2x - 15

• 2x + 15

What is the simplified form of 5m - 9m - 6n?

• -4m - 6n

• 4m - 6n

• -4m + 6n

• 4m + 6n

What is the result of -10(2 + x) - 3x?

• -13x - 20

• 13x + 20

• -13x + 20

• 13x - 20