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Algebraic Expressions and Formulas

Algebraic Expressions and Formulas. We will Evaluate algebraic expressions. We will use mathematical models. We will understand the vocabulary of algebraic expressions. We will Simplify algebraic expressions. We will evaluate algebraic expressions. Evaluating Algebraic Expressions.

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Algebraic Expressions and Formulas

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  1. Algebraic Expressions and Formulas We will Evaluate algebraic expressions. We will use mathematical models. We will understand the vocabulary of algebraic expressions. We will Simplify algebraic expressions.

  2. We will evaluate algebraic expressions. Evaluating Algebraic Expressions • Evaluating an algebraic expression - finding the value for an expression given a value for the variable(s). • We can evaluate 3x -2 when x = 8 to be.

  3. We can evaluate an expression with multiple variables • -2x + 5xy * 3y when x=2 and y=-4 • x(y-5)(z+3) when x=2, y=8, z=-4

  4. We will understand the vocabulary of algebraic expressions. Vocabulary of Algebraic Expressions • Terms - Parts of an algebraic expression that are separated by addition. • Coefficient - The numerical part of a term. • Numerical term or Constant- a term that consists of just a number. • Factors - The parts of each term that are multiplied. • Like terms - Terms with the same variable and exponent factors.

  5. We will simplify algebraic expressions Properties of Real Numbers • Commutative Property of addition a + b = b + a Commutative Property of Multiplication a*b = b*a Associative Property of Addition (a+b)+c = a+(b+c) Associative Property of Multiplication (ab)c = a(bc)

  6. Distributive Property • a(b+c) = ab + ac • a(b-c) = ab - ac • ba+ca= (b+c)a

  7. Distributive Property Examples • 2(x - 9) + 3x • -(a+b) • 8x + 2[5-(x-3)]

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