Combining Like Terms and Expressions

The video tutorial covers the concept of expressions, distinguishing them from equations, and explains the components of expressions such as variables, constants, and coefficients. It then delves into the process of combining like terms to simplify algebraic expressions, including those with exponents. The tutorial concludes with geometric applications, demonstrating how to use expressions to calculate the perimeter of figures.

What distinguishes an expression from an equation?

• An equation never has a variable.

• An expression contains an equal sign.

• An equation contains an equal sign.

• An expression always has a numerical answer.

Which of the following is a constant term?

• 7x

• -5x

• 3

• 4x

How do you combine like terms in an expression?

• Multiply the coefficients of the like terms.

• Add the coefficients of the like terms.

• Divide the coefficients of the like terms.

• Subtract the coefficients of the like terms.

What is the result of combining 3x and 6x?

• 9x

• 6x

• 12x

• 3x

If you have 7m and -5m, what is the simplified form?

• 0

• 2m

• 12m

• -2m

What is the coefficient of the term 5x?

• 1

• 0

• x

• 5

When combining terms with exponents, what should you not change?

• The coefficients

• The exponents

• The variables

• The constants

What is the result of combining 5x^2 and 7x^2?

• 2x^2

• 12x^2

• 35x^2

• x^2

How do you calculate the perimeter of a figure using expressions?

• Divide all side lengths

• Subtract all side lengths

• Add all side lengths

• Multiply all side lengths

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

• 2y + 4

• 4y - 3

• 8y - 6

• 6y - 10