Understanding Expressions and Their Components

The video tutorial introduces expressions, focusing on their components such as terms, variables, constants, and coefficients. It explains how to identify these parts within an expression and provides examples for practice. The tutorial also covers combining like terms, emphasizing the importance of matching variables and exponents. Through various examples, the video guides students in simplifying expressions by adding or subtracting coefficients of like terms.

What is a term in an expression?

• Anything separated by addition or subtraction

• A letter that represents an unknown value

• A number being multiplied by a variable

• A number that is always constant

Which of the following is a variable term in the expression 8x + 1 + 5x + 12x + 23 + 7?

• 23

• 1

• 8x

• 7

What is the coefficient in the term 5x?

• 5x

• x

• None of the above

• 5

If a term does not have a coefficient written, what is the default coefficient?

• 2

• None

• 1

• 0

What are the constant terms in the expression 8x + 1 + 5x + 12x + 23 + 7?

• 1, 23, 7

• None of the above

• 8x, 5x, 12x

• 8, 5, 12

Which of the following pairs of terms can be combined?

• x and y

• x^2 and 2x^2

• x and 2x

• x and x^2

Combine the like terms in the expression 7x + 4 + 2x.

• 9x + 6

• 7x + 2x + 4

• 7x + 4 + 2x

• 9x + 4

What is the result of combining 1n and 2n?

• 3n

• 1n

• 4n

• 2n

Simplify the expression 9r - 5r + 11.

• 4r + 11

• 4r - 11

• 9r - 5r

• 14r + 11

Combine the like terms in the expression 2k + 1k + 14 - 8.

• 2k + 1k + 6

• 3k + 6

• 3k + 14

• 2k + 1k + 14 - 8