Chapter 1.1-1.3 Test Outline

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In general, you are expected to be able to answer any question resembling the problems in the book or from the content of the lectures.

This outline has slightly more on it than is on the test. Excellent students can do all this anyway.

Chapter 1.1:

  • vocabulary, which you must understand and be able to use:
    • variables, algebraic expressions, order of operations (PEMDAS)
    • parts of monomials: coefficient, exponent, power, degree
    • constant, monomial, binomial, trinomial, polynomial
    • term, like terms
  • you should be able to:
    • evaluate algebraic expressions when given the values of the variables
    • use formulas, substituting values from word problems into the variables of the formula

Chapter 1.2:

  • what is a real number?
  • the different sets of numbers (natural, whole, integer, rational, irrational, real), and how they relate in a Venn diagram.
  • recognize which sets of numbers a number belongs to (decimals, roots, repeating decimals, fractions, etc.)
  • addition and multiplication properties of real numbers
    • commutative, associative, identity, inverse and distributive
    • identify uses of these properties; use them yourself and name them

Chapter 1.3:

  • vocabulary: open sentence, equation, solution
  • properties of equality
    • reflexive, symmetric, transitive, substitution
    • addition, subtraction, multiplication, division
      • when is the division property invalid? (check understanding of invalid)
  • explain solving equations by citing one of the 13 properties for each step
  • solve for variables using and citing the properties as you go
    • isolate variables by:
      • getting them into a single term
      • moving them out of denominators
      • moving other terms, multipliers, and divisors away with +, -, *, /
  • write simple equations from word problems and solve them with the properties
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