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Bell Ringer: 8/17/15  Solve the following equation:

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Presentation on theme: "Bell Ringer: 8/17/15  Solve the following equation:"— Presentation transcript:

1 Bell Ringer: 8/17/15  Solve the following equation:

2 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.

3 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.

4 Examples:

5 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?

6 Examples:

7 Assignment  Pg. 22-23 #24, 36, 39, 41, 43  Pg. 30-31 #15, 22, 25, 28, 33

8 Bell Ringer: 8/18/15  Write an algebraic expression for the following: The difference between the product of four and a number and six

9 Assignment pg. 22-23 #24, 36, 39, 41, 43 pg. 30 #15, 22, 25, 28, 33

10 Sec 1-5: Inequalities Learning Target : I can solve simple inequalities and apply them to real world situations.

11 Inequalities: These are solved in the same way as equations, however, if you multiply or divide by a negative value, the inequality symbol reverses.

12 Inequalities:  Words:  Greater than  Less than  Greater than or equal to  Less than or equal to  Symbols:  >  <  ≥  ≤

13 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

14 Examples:

15 Assignment:  Pg. 37 # 19, 24, 35, 45  SOLVE AND GRAPH THE INEQUALITIES

16 Bell Ringer: 8/19/15

17 Assignment: p. 37

18 Sec 1-6: Compound Inequalities Learning Target : I can solve compound inequalities, including those with absolute value and apply them to real world situations.

19 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.

20 Examples:

21 Absolute Value Inequalities Absolute ValueCompound

22 Examples:

23 Modeling Absolute Value

24 Assignment:  Pg. 45-46 #12, 18, 38, 41  ONLY SOLVE THE INEQUALITIES

25 Bell Ringer: 8/20/15

26 Assignment: pp. 45-46

27 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.

28 Graphing Compound Inequalities on a Number Line

29 Assignment:  Pp. 45-46 #12, 18, 38, 41 graph these  P. 46 #44, answer all parts of question, #61


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