Adding Linear Expressions: Combining Like Terms

This video tutorial teaches how to add linear expressions with rational coefficients by combining like terms. It covers the commutative property of addition, common mistakes in order of operations, and sign changes. Key vocabulary such as linear expressions and rational coefficients are defined. An analogy using fruit baskets is used to explain combining like terms. The tutorial concludes with step-by-step examples of adding linear expressions.

What does the commutative property of addition state?

• The sum of two numbers is always positive.

• The sum of two numbers is different if the order is changed.

• The sum of two numbers is the same regardless of the order.

• The sum of two numbers is always zero.

Which of the following is a common mistake when rearranging terms?

• Using the commutative property correctly.

• Multiplying before adding.

• Changing the signs of the terms.

• Adding numbers in the correct order.

What is a rational coefficient?

• A number that is subtracted from a variable.

• A number that is added to a variable.

• A number that is multiplied by a variable.

• A number that divides a variable.

In the fruit basket analogy, what does combining apples with apples represent?

• Multiplying terms.

• Adding different types of terms.

• Combining like terms.

• Subtracting terms.

What is the result of adding 4x + 3 and 7x + 5?

• 11x + 8

• 11x + 15

• 3x + 8

• 3x + 15