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Bell Ringer: 8/17/15 Solve the following equation:
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1-3 and 1-4 Solving Multi- Step Equations Learning Target : I can solve linear equation, with absolute value and apply to the real world.
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Recall: Multi-Step Equations: Steps to solving: Use Distributive property to get rid of parentheses Combine like terms on each side of equals sign “Move” variables to left of equals sign by adding or subtracting “Move” constants to right of equals sign by adding or subtracting Get variable by itself by either dividing or taking the root.
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Examples:
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Solving Equations with Absolute Value What is the definition of absolute value? In order to solve equations with absolute value, you must isolate the expression with absolute value first. Then you apply the definition of absolute value to solve the equation. Challenge ?: At most, how many solutions are in an absolute value equation?
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Examples:
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Assignment Pg. 22-23 #24, 36, 39, 41, 43 Pg. 30-31 #15, 22, 25, 28, 33
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Bell Ringer: 8/18/15 Write an algebraic expression for the following: The difference between the product of four and a number and six
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Assignment pg. 22-23 #24, 36, 39, 41, 43 pg. 30 #15, 22, 25, 28, 33
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Sec 1-5: Inequalities Learning Target : I can solve simple inequalities and apply them to real world situations.
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Inequalities: These are solved in the same way as equations, however, if you multiply or divide by a negative value, the inequality symbol reverses.
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Inequalities: Words: Greater than Less than Greater than or equal to Less than or equal to Symbols: > < ≥ ≤
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Inequalities: Words: Greater than Less than Greater than or equal to Less than or equal to On the number line: >, open circle, shade right <, open circle, shade left ≥, closed circle, shade right ≤, closed circle, shade left
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Examples:
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Assignment: Pg. 37 # 19, 24, 35, 45 SOLVE AND GRAPH THE INEQUALITIES
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Bell Ringer: 8/19/15
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Assignment: p. 37
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Sec 1-6: Compound Inequalities Learning Target : I can solve compound inequalities, including those with absolute value and apply them to real world situations.
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Compound Inequalities: Defined as two inequalities joined by the word “and” or the word “or.” In order to solve a compound inequality you must solve each part of the inequality. Generally, “and” compound inequalities have the algebraic expression in between two values with < or ≤ ; “or” statements use one of each inequality symbol.
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Examples:
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Absolute Value Inequalities Absolute ValueCompound
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Examples:
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Modeling Absolute Value
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Assignment: Pg. 45-46 #12, 18, 38, 41 ONLY SOLVE THE INEQUALITIES
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Bell Ringer: 8/20/15
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Assignment: pp. 45-46
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Sec 1-6: Compound Inequalities Learning Target : I can solve and graph compound inequalities, including those with absolute value and apply them to real world situations.
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Graphing Compound Inequalities on a Number Line
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Assignment: Pp. 45-46 #12, 18, 38, 41 graph these P. 46 #44, answer all parts of question, #61
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