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  • What is an algebraic expression?
    A combination of numbers and variables with math operations.
  • What is a variable in algebraic expressions?
    A letter representing any number whose value can vary, usually denoted by letters like x or y.
  • What is a coefficient?
    A number multiplying a variable whose value doesn't vary, usually placed at the front of the variable.
  • What is a constant in an algebraic expression?
    A number without variables whose value doesn't vary, usually found at the end of the expression.
  • How do you identify an equation versus an algebraic expression?
    An equation has an equal sign (=) between expressions, while an algebraic expression does not.
  • What does it mean to evaluate an algebraic expression?
    To substitute given values for variables and perform operations using the order of operations (PEMDAS).
  • What is the order of operations (PEMDAS)?
    Parentheses, Exponents, Multiply/Divide, Add/Subtract.
  • What is the base in an exponent?
    The number being multiplied repeatedly.
  • What is the exponent or power?
    The number of times the base is multiplied by itself.
  • How do you evaluate exponents in expressions?
    Evaluate exponents before performing other operations.
  • What is a term in an algebraic expression?
    Parts of expressions separated by plus (+) or minus (−) signs.
  • What are like terms?
    Terms with the same variables raised to the same powers.
  • What are the steps to simplify algebraic expressions?
    1) Distribute constants/variables through parentheses, 2) Group like terms, 3) Combine like terms by adding or subtracting.
  • How do you simplify the expression 2x + 3 + 4(x + 2)?
    Distribute 4: 2x + 3 + 4x + 8, then combine like terms: (2x + 4x) + (3 + 8) = 6x + 11.
  • What is the coefficient and constant in 2x + 5?
    Coefficient is 2, constant is 5.
  • How do you simplify −3(5 − x) + 10 − 7x?
    Distribute: −15 + 3x + 10 − 7x, combine like terms: (3x − 7x) + (−15 + 10) = −4x − 5.
  • What does the expression a ⋅ a ⋅ ... ⋅ a (n times) represent?
    It represents a to the nth power, written as \(a^n\).
  • How do you evaluate the expression 2y − x(3 + y) when x=2 and y=5?
    Substitute values: 2(5) − 2(3 + 5) = 10 − 2(8) = 10 − 16 = −6.
  • What is the difference between numerical and algebraic expressions?
    Numerical expressions contain only numbers and operations; algebraic expressions include numbers, operations, and variables.