Unit 3 Key Terms

  • Algebraic Expression: An expression involving at least one variable and sometimes numbers and operation symbols.
  • Associative Property of Addition: The sum of a set of numbers is the same no matter how the numbers are grouped. a + (b + c) = (a + b) + c
  • Associative Property of Multiplication: The product of a set of numbers is the same no matter how the numbers are grouped. a(bc)=(ab)c
  • Coefficient: A number multiplied by a variable in an algebraic expression.
  • Commutative Property of Addition: The sum of a group of numbers is the same regardless of the order in which the numbers are arranged.   a + b   = b + a
  • Commutative Property of Multiplication: The product of a group of numbers is the same regardless of the order in which the numbers are arranged. ab = ba
  • Constant: A quantity that does not change its value.
  • Distributive Property: If you multiply a sum by a number, you will get the same result if you multiply each addend by that number and add the products.   a(b+c)=ab+bc
  • Exponent: The number of times a number or expression (called base) is used as a factor of repeated multiplication. Also called the power.
  • Term: A number, a variable, or a product of numbers and variables.
  • Like Terms: Terms in an algebraic expression that have the same variable raised to the same power. Only the coefficients of like terms are different.
  • Order of Operations: The rules to be followed when simplifying expressions.
  • Variable: A letter or symbol used to represent a number or quantities that vary.

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