Panlilio

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

Panlilio 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

Panlilio Order of Operations Try these problems

Panlilio 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

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

Panlilio Properties for Addition and Multiplication AdditionMultiplication Commutatitve Associative Identity Inverse Distributive

Panlilio Name the Property

Panlilio 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

Panlilio 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

Panlilio 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,

Panlilio Solving Equations Solve each equation:

Panlilio 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 __________.

Panlilio 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

Panlilio 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.

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

Panlilio Absolute Value Inequalities Absolute Value Inequalities are Compound Inequalities.

Panlilio Homework 1.1 & 1.2: P.10 #19-51 EOO,54,56,58; P.17 #21-57 EOO, & 1.5: P.31 #19-53 Odd,56,60; P.41 #17-41 EOO,45, & 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