Like and unlike terms

Why is it important to understand and simplify like terms in algebraic expressions?

• To make expressions more complicated

• To solve equations more efficiently and accurately

• To memorize more formulas

• To avoid using variables

Which of the following pairs are like terms?

• 3x² and 5x²

• 3x² and 4x

• 4x² and 4x

• 3x and 5x²

Why are 3x² and 4x not considered like terms?

• They have different variables.

• They have different exponents.

• They have different coefficients.

• They have the same exponent.

Given the definition of like terms, which of the following statements is true?

• Like terms must have the same coefficient.

• Like terms must have the exact same variable and exponent.

• Like terms can have different exponents.

• Like terms can have different variables.

If you are asked to combine like terms in the expression 2x² + 5x² + 3x, which terms would you combine?

• 2x² and 3x

• 5x² and 3x

• 2x² and 5x²

• 2x² and 3x² and 3x

Which of the following is an example of combining like terms?

• 4x + 4x = 8x

• 3 - 5 + 5 = 13

• 2x + 4 = 6x

• 7 - x = 7x

A student is simplifying the expression 2x + 4 + 6x. What should be the correct simplified form?

• 8x + 4

• 2x + 10x

• 2x + 4x + 6x

• 12x

Which of the following statements best describes "like terms" in algebraic expressions?

• Like terms have different variables but the same exponent.

• Like terms share the same variable and exponent.

• Like terms have different exponents but the same variable.

• Like terms are always constants.

Why are numerals considered like terms in algebraic expressions?

• Because they have variables with exponents.

• Because they can be combined with variables.

• Because they are constants and can be added or subtracted together.

• Because they always have the same coefficient.

Given the algebraic expressions shown, which pair represents like terms?

• 2x and 3x²

• 1x and 4x²

• 2x² and 4x²

• 1y and 3x²