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P.1 Algebraic Expressions, Mathematic Models, and Real Numbers

P.1 Algebraic Expressions, Mathematic Models, and Real Numbers. Homework: p. 17-18 9-15 odd, 21-33 odd, 91-95 odd, 117-119 odd, and 121-127 odd. Chapter P has a lot of review topics from your previous math years!. Variable – represents various numbers

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P.1 Algebraic Expressions, Mathematic Models, and Real Numbers

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  1. P.1 Algebraic Expressions, Mathematic Models, and Real Numbers Homework: p. 17-18 9-15 odd, 21-33 odd, 91-95 odd, 117-119 odd, and 121-127 odd

  2. Chapter P has a lot of review topics from your previous math years! • Variable – represents various numbers • Algebraic expression – combination of variables and numbers • Exponential Notation: • Order of operations: PEMDAs; left to right • Equations – general rule of thumb…variables on the left when reporting the solution – values on the right. Solutions should always be identified and “boxed”. • Model – develop a model means to write an equation that represents a set of data

  3. Guided Practice… Evaluate the algebraic expression:

  4. Sets • Set – collection of objects whose contents can be clearly determined. • Elements: objects of a set • { 1,2,3,4,5…} – brackets illustrate a set – called the roster method when individual elements are separated by a comma • Set-builder notation: {x|x is a counting number less than 6} = the set of all x such that x is a counting number less than 6 • Intersecting sets: the intersection of sets A and B , written , is the set of elements common to both set A and set B. • ={x|x is an element of A and x is an element of B}

  5. Guided Practice… Find the intersection of two sets: • More set info… • The union of sets A and B, written , is the set of elements that are members of set A or of set B. This expression can be expressed in set-builder notation as:

  6. Guided Practice… Find the union of two sets: Information to remember: and = intersection (what sets have in common) or = union (everything in each of the sets)

  7. The Set of Real Numbers:

  8. More algebra stuff to remember…

  9. Guided Practice…

  10. And even more algebra stuff to remember… Guided Practice…

  11. Properties of Real Numbers:

  12. Guided Practice…

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