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Matching Terms Review

Match the following terms and definitions.

Definitions:

  1. Parts of an expression separated by a + or − sign
  2. The number in front of an expression
  3. A term that contains no variables (letters)
  4. A letter or symbol used to represent a number in an expression or equation
  5. Numbers that are multiplied together to get a product

Terms:

  • Coefficient
  • Variable
  • Factors
  • Terms
  • Constant

Answers:

  1. Parts of an expression separated by a + or − sign

    Answer: Terms

  2. The number in front of an expression

    Answer: Coefficient

  3. A term that contains no variables (letters)

    Answer: Constant

  4. A letter or symbol used to represent a number in an expression or equation

    Answer: Variable

  5. Numbers that are multiplied together to get a product

    Answer: Factors

Guided Practice

Practice Problem #1

Combine like terms by completing the following.

Are 3x and x like terms? Yes or No?

Answer: Yes

Fill in the blanks to rewrite 3x + x then simplify.

  • 3x + x = (__blank + __blank)x
  • 3x + x = (3 + 1)x   Notice that we put a 1 when we don't see a coefficient.
  • = (__blank)x
  • Answer: 4

Practice Problem #2

Simplify 4x2y + 3xy2

Any like terms? Yes or No?

Answer: No. We stop here because we can't combine anything.

Therefore our answer is 4x2y + 3xy2

Practice Problem #2

Simplify 10ab2 + 2ab − 9ab

Are there any like terms? Yes or No?

Answer: Yes

Simplify.

  • 10ab2 + 2ab − 9ab
  • 10ab2 + (__blank − __blank)ab
  • 10ab2 + (−7)ab
  • Answer: 10ab2 −7ab

You've completed these review activities!