Identifying Like Terms in Algebraic Expressions

What defines like terms in algebra?

• Terms with the same variables and powers

• Terms with the same coefficients

• Terms with different coefficients

• Terms with different variables

If no exponent is shown on a variable, what power is it assumed to have?

• Zero

• Two

• One

• Undefined

Which of the following pairs are unlike terms?

• 10x and 3x

• 5 and 3

• 14a and 9b

• 7x^2 and 2x^2

What are constant terms in algebra?

• Numbers without variables

• Variables with coefficients

• Variables with powers

• Coefficients without variables

In the expression 10x + 3x - 8, which terms are like terms?

• 10x and 3x

• None of the above

• 10x and -8

• 3x and -8

What does it mean if terms are boxed in an algebraic expression?

• They are unlike terms

• They are constants

• They are like terms

• They need to be solved first

In the expression 15c^2 + 10d + 3c^2 + 2d, which terms are like terms?

• All of the above

• 10d and 2d

• 15c^2 and 3c^2

• 15c^2 and 10d

What is the assumed coefficient if none is shown in front of a variable?

• One

• The variable itself

• Zero

• Undefined

Why are 6xy^3 and x^3y considered unlike terms?

• Same variables and powers

• Different variables

• Same variables, different powers

• Different coefficients

What is the significance of identifying like terms in algebra?

• To simplify expressions

• To complicate calculations

• To change the variables

• To introduce new coefficients