Combining Like Terms and Expressions

The video tutorial covers the concept of combining like terms in algebraic expressions. It begins with an introduction to the objectives, which include identifying parts of an expression, like terms, and simplifying expressions. The tutorial explains variable terms, coefficients, and constants, and demonstrates how to combine like terms through various examples. It also covers expressions with exponents and applies these concepts to calculate the perimeter of geometric shapes.

What is the primary goal when combining like terms in an expression?

• To increase the number of terms

• To simplify the expression

• To change the variables

• To add more coefficients

Which of the following is a coefficient in the expression 7x - 5x + 4x?

• x

• 7

• -5

• 4

In the expression 3x + 6x, what is the result of combining like terms?

• 6x

• 3x

• 0

• 9x

How do you handle exponents when combining like terms with variable exponents?

• Add the exponents

• Subtract the exponents

• Change the exponents

• Keep the exponents the same

What is the simplified form of 5x^2 + 7x^2?

• 12x

• 7x^2

• 12x^2

• 5x^2

In the expression 8c^3 - 7c^3 + 16c^3, what is the coefficient of the combined term?

• 1

• 17

• 8

• 16

When finding the perimeter of a shape, what operation is primarily used?

• Division

• Subtraction

• Multiplication

• Addition

If a rectangle has sides labeled y + 2 and 3y - 5, what is the expression for its perimeter?

• 4y - 8

• 8y - 6

• 6y - 10

• 2y + 4

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

• 6x

• 5x

• 3x

• 4x

In a triangle with sides 2x + 1, x, and 3x, what is the simplified expression for the perimeter?

• 5x

• 5x + 1

• 6x + 1

• 6x