Exploring Algebraic Expressions and Like Terms

This video tutorial covers the basics of algebraic expressions, focusing on understanding terms, coefficients, and constants. It explains how to identify and rewrite terms in expressions, and distinguishes between like and unlike terms. The tutorial includes practice problems to reinforce these concepts, making it suitable for seventh-grade students learning algebra.

What is an algebraic expression?

• A mathematical phrase with an equal sign

• A phrase with only variables and operators

• A mathematical phrase combining numbers, variables, and operators

• A phrase with only numbers and operators

Which of the following is an example of an algebraic expression?

• 5 + 3

• 7 - 2

• X + 5

• 10 / 2

In the expression 5x + 3y - 8, what is the constant?

• -8

• 3y

• 5x

• 8

What is the coefficient in the term 5x?

• None

• 5x

• x

• 5

Identify the terms in the expression 10B + 13 - 6B + 4.

• 10B, 13, 6B, 4

• 10B, 13, -6B, 4

• 10, B, 13, -6, B, 4

• 10, B, 13, 6, B, 4

Rewrite the expression 15K + 11 - 3K as an addition sentence.

• 15K + 11 + 3K

• 15K + 11 - 3K

• 15K - 11 + 3K

• 15K + 11 + (-3K)

Which of the following are like terms?

• 5y and 5z

• 7x and 7y

• 8x and 8x^2

• 3x and -2x

Which of the following sets are unlike terms?

• 5z and 5z^2

• 8y and 8y

• 7x and 3x

• 2a and 2a

Identify the like terms in the expression 7 + 4P - 5 + P + 2Q.

• 4P and P

• 7 and 2Q

• 7 and 4P

• 5 and 2Q

Rewrite the expression 2R^2 + 7R - R^2 - 9 as a sum of terms.

• 2R^2 + 7R + (-R^2) + (-9)

• 2R^2 + 7R + R^2 + 9

• 2R^2 + 7R + R^2 - 9

• 2R^2 + 7R - R^2 - 9