1. Panlilio 2008-2009

2. Section 1.1 & 1.2 Objectives Use the order of operations to evaluate experations Use formulas Determine the sets of numbers to which a given number belongs Use the properties of real numbers to simplify expressions

3. Panlilio 2008-2009 Please Excuse My Dear Aunt Sally The Order: 1. ___________ (and other groupings like brackets or fraction bars) 2. ___________ 3. All Multiplication and Division from _____ to ______ 4. All Additions and Subtractions from _____ to _____ Order of Operations

4. Panlilio 2008-2009 Order of Operations Try these problems

5. Panlilio 2008-2009 Using Formulas When given a formula, just Plug AND Chug! The formula for the volume of a rectangular prism is. Find the volume of each cylinder given the following values: l=7, w=22, h=3l=2.25, w=4.1, h=3Cube with sides of length 8

6. Panlilio 2008-2009 Properties of Real Numbers QI Z W N R = I = Q = Z = W = N = Reals, R Rational numbers can be expressed as a ratio

7. Panlilio 2008-2009 Properties for Addition and Multiplication AdditionMultiplication Commutatitve Associative Identity Inverse Distributive

8. Panlilio 2008-2009 Name the Property

9. Panlilio 2008-2009 Section 1.4 & 1.5 Objectives Translate verbal expressions and sentences into algebraic expressions and equations Solve equations by using the properties of equality Solve equations for a specific variable Solve equations containing absolute value

10. Panlilio 2008-2009 Translating Words into Math Twice the cube of a number Three less than a number is -7 Four times the sum of a number and 2 A number divided by 4 is 2/3 The product of a number and its square

11. Panlilio 2008-2009 Properties of Equality For any real number a, a=a For all real numbers a and b, if a=b, then b=a For all real numbers a, b, and c, if a=b and b=c, then a=c If a=b, then a may be replaced by b For any numbers a, b, and c, if a=b then a+c=b+c and a-c=b-c For any real numbers a, b, and c, if a=b, then a  b=b  c and, if c  0,

12. Panlilio 2008-2009 Solving Equations Solve each equation:

13. Panlilio 2008-2009 Absolute Value Equations Absolute Value of a Number --> The number of units it is from 0 on the number line Absolute Value Equations --> Two Possible Scenarios: 1. The number inside is positive, or 2. The number inside is negative. Either way, when you take the absolute value, you get a __________.

14. Panlilio 2008-2009 Section 1.6 & 1.7 Objectives Solve inequalities and graph the solution sets Solve compound inequalities using and and or Solve inequalities involving absolute value and graph the solutions

15. Panlilio 2008-2009 Solve each inequality. Graph the solution. Solving Inequalities Reminder! When solving inequalities: if you multiply or divide by a negative number, you have to ________ the inequality sign.

16. Panlilio 2008-2009 Compound Inequalities “And” --> Must make both inequalities true. Shade the ___________. “Or” --> Can make either inequality true. Shade ______________.

17. Panlilio 2008-2009 Absolute Value Inequalities Absolute Value Inequalities are Compound Inequalities.

18. Panlilio 2008-2009 Homework 1.1 & 1.2: P.10 #19-51 EOO,54,56,58; P.17 #21-57 EOO,58 1.4 & 1.5: P.31 #19-53 Odd,56,60; P.41 #17-41 EOO,45,46 1.6 & 1.7: P.47#15-43 EOO,49,50,57-59; P.53 #15-43 EOO,45,46,49-55 Odd Chapter Review P.56 #1-27 Odd, #33-69 Odd