Understanding Terms and Like Terms in Algebra

What is a term in an algebraic expression?

• A number or a variable only

• A number, a variable, or their product

• Only a product of variables

• Only a product of numbers

How can you determine the number of terms in an expression?

• By counting the variables

• By counting the constants

• By counting the multiplication operators

• By looking at the addition and subtraction operators

What defines like terms in algebra?

• Same coefficients

• Same constants

• Same number of terms

• Same variables and exponents

Why can't 5x^2 and 3x be simplified together?

• They have different variables

• They have different coefficients

• They are already simplified

• They have different exponents

In the expression 7a + 2gkp, why can the terms 2gkp be combined?

• They have the same coefficients

• They are in the same order

• They are constants

• They have the same variables and exponents

What is the hidden coefficient of a variable when it appears alone?

• Zero

• Two

• One

• Ten

How can the expression x + 2x be simplified?

• 2x

• x + 2

• x^2

• 3x

What happens when you simplify 3y - 2y?

• You get 0

• You get 1y

• You get 6y

• You get 5y

How many terms does the expression 8x + 3y + 2y have after simplification?

• One

• Four

• Three

• Two

What is the main takeaway about simplifying algebraic expressions?

• Always add all numbers

• Combine like terms with the same variables and exponents

• Ignore coefficients

• Only simplify if there are no variables