Simplifying Expressions by Combining Like Terms

The video tutorial introduces the concept of combining like terms using a simple analogy of counting apples and bananas. It explains the definition of terms and like terms, providing examples to illustrate these concepts. The tutorial includes practice exercises for identifying like terms and demonstrates the steps to combine them into simplified expressions. Additional examples are provided to reinforce learning, encouraging viewers to practice and improve their skills in simplifying expressions.

What is the simplified expression when combining eight apples and seven bananas?

• 15 apples and bananas

• 7 apples + 8 bananas

• 8 apples + 7 bananas

• 1 apple + 1 banana

What are considered like terms in the expression 3x squared, 5y, and 6?

• None of the above

• 3x squared and 6

• 5y and 6

• 3x squared and 5y

In the expression -5 + 5y + 6 + 3y, which terms are like terms?

• 5y and 3y

• All are like terms

• None are like terms

• -5 and 6

How do you combine the terms 4x and 8x?

• 12x

• 4x + 8

• 12

• 4x8x

What is the result of combining the constants 9 and -4?

• -13

• 4

• 5

• 13

Identify the like terms in the expression -6x - 3 + 3x + 8y + 9 - 2y.

• -3 and 9

• All of the above

• 8y and -2y

• -6x and 3x

What is the simplified expression for -6x + 3x + 8y - 2y + 9 - 3?

• -3x - 6y + 6

• -3x + 6y + 6

• 3x + 6y + 6

• -3x + 6y - 6

After combining like terms, what is the simplified form of 8y + 4 - 3y - 5?

• 5y - 1

• 11y - 1

• 5y + 1

• 11y + 1

What is the simplified expression for 4y + 8x - 2y + 5 - 3x?

• 6y + 5x + 5

• 2y + 11x + 5

• 2y + 5x - 5

• 2y + 5x + 5

What should you do if you get a practice problem wrong?

• Pause and review your work

• Ignore the mistake

• Skip to the next problem

• End the practice session