Lesson 1-3 Algebraic Expressions & Properties

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Lesson 1-3 Algebraic Expressions & Properties Objectives: 9P4, 9P3 (Do not write) Evaluate algebraic expressions Use number properties to write equivalent expressions

Commutative Properties – (switch elements) a + b = b + a a • b = b • a Associative Properties- (change grouping) a + (b + c)= (a + b) + c a • (b • c) = (a • b) • c Identity Properties- (keep same) a + 0 = a a • 1 = a While these properties do not seem useful, you do use them quite often without knowing it. Example 1)Use the commutative and associative properties to write an expression equivalent to (9x • 12y) 8z

Writing algebraic expressions: • translate like a foreign language • any phrase with “than” must reverse order – less than, more than Example 2: Write five more than the absolute value of a number Example 3: Write 4 less than twice the sum of a number and 10

Evaluate: Find value of hint: follow order of operations Example 4: Evaluate 3x + y for x = 16 and y = 6 Simplify: Reduce to lowest terms Example 5: Simplify 3*16 + 6 54 Line flying in literally means the # 1. 2/2 =1 y/y = 1 We are using the identity property here!!

Example 6: -5x - 3y -5x +(-3y) Example 7: 3x + 4y 3x-(-4y) Subtraction Theorem : a – b = a + (-b) can be used either way Write equivalent expressions Example 6: -5x - 3y -5x +(-3y) Example 7: 3x + 4y 3x-(-4y)