Understanding Algebraic Expressions

This video tutorial by Mr. J covers the concept of terms in algebraic expressions, including identifying, counting, and combining like terms. It explains what terms are, how they are separated by addition or subtraction, and provides examples of constants, variables, and coefficients. The tutorial also introduces like terms, which have the same variables and exponents, and demonstrates how to simplify expressions by combining them. Strategies for rewriting expressions using only addition to simplify the identification of terms are also discussed.

What is a term in an algebraic expression?

• A part of an expression separated by addition or subtraction

• A number or variable that is multiplied by another number or variable

• A variable that cannot change

• A number that is always positive

Which of the following is a constant term?

• 3x

• 7

• 2z

• y^2

How many terms are in the expression 5x + 3y - 7?

• 4

• 3

• 2

• 1

What is the coefficient in the term 8xy?

• 8

• x

• y

• xy

Which pair of terms are like terms?

• 3x and 3y

• 4a and 4b

• 6p and 6q

• 5m and 5m

What makes two terms 'like terms'?

• They have the same variables raised to the same powers

• They have the same coefficient

• They are both constants

• They are both variables

How do you combine like terms in an expression?

• Add or subtract their coefficients

• Add their exponents

• Multiply their coefficients

• Divide their coefficients

What is the simplified form of 3x + 4x?

• 0

• x

• 12x

• 7x

In the expression 2a + 3b - 4a, which terms can be combined?

• All terms can be combined

• 3b and -4a

• 2a and 3b

• 2a and -4a

What is the result of combining the like terms in the expression 5x + 2x - 3?

• 5x - 3

• 5x + 2x

• 7x - 3

• 2x - 3