Chapter+1

//**1.3-Goal: Solve open sentences equalities. Solve open sentences inequalities.**// //**1.4-Goal: Recognize the properties of identity and equality. Use the properties of identity and equality.**// //**1.5-Goal: Use the Distributive property to evaluate an expression and simplify an expression.**// //**1.7-Goal: Identify the hypothesis & conclusion in a conditional statement. Use a counter example to show that an assertion is false. (assertion=statement)**// //**1.8-Goal: Interpret graphs of functions. Draw graphs of functions.**// //**1.9-Goal: Analyze data given in tables and graphs. Determine wheter groups are misleading.**// Misleading graph: Some graphs can be confusing, easily misunderstood, and lead to false assumptions. These graphs may be mislabeled or contain incorrect data. Or they may be constructed to make one set of data appear greater than another set.
 * //1.1-Goal: Write math expressions for verbal expressions. Write verbal expressions for math expressions.//**
 * Notes:** C + 2d into a verbal equation. C plus the product of 2d. + is known for plus, sum, added to, addition, increased by. K - 15 into verbal equation. Fifteen less than K. 8 + 3n into a verbal expression. Eight increased by three times a number. //These will be flipped so, verbal equation switched to math equation.// Algebraic Expressions- It consists of one or more numbers and variables along with one or more arithmetic operations. Also is a form of Math Expressions.
 * //1.2-Goal: Evaluate algebraic expressions using PEMDAS. Evaluate verbal expressions using GEMDAS.//**
 * Notes:** When you do PEMDAS and GEMDAS it stands for P and G=[ ] E= x² M= * D= / A= + S= - . Variable: Symbols used to represent unspecified numbers or values. Order of Operations: A rule is needed to let you know which operation to perform first.
 * Notes:** Equality has =. Inquality has <=>. 34 - b= 12 and 40/a - 4>0. Switch the inequality when * and / by a negative number is involved. **1.)** Write problem as if =. (b + 7=10) **2.)** SADMEG to get variable alone. (b + 7=10)(-7 - 7)(b=3) **3.)** Plug oringinal symbol back in. (b>3) **4.)** Check it with atleast 1 larger and 1 smaller number. (b>3) Equality a symbol to an open sentence that is a =. Inequality Open sentence that contains symbols like <>. Solution set Open sentence that has a set of elements from the replacement set to make the open sentence true. Open sentences is a mathmatical statement with one or more variables.
 * Notes:** Multiplicative Property- For any number a, the product of a and 1 is a. a(1)=a, 1(a)=a. 12(1)=12, 1(12)=12. Multiplicative Property of Zero- Any number times by 0 is 0. Multiplicative Inverse- For every number a/b, where a and b are not equal to 0, there is exactly one number b/a such that the product a/b and b/a is 1. a/b(b/a)=1 b/a(a/b)=1. 2/3(3/2)=6/6 or 1. Additive Identity- For every number added by zero equals that number.
 * Notes:** Exponets Bottom-Small(5, 4, 3, 2, 1), Variable A-Z, Constants (no order).
 * //1.6-Recognize Commutative & Associative Properties to use properties to simplify expressions.//**
 * Notes:** + and * work for Commutative Property but - and / don't. Associative Property is an equation that can work no matter what order numbers are in.
 * Notes:** Hypothesis are educated guesses that starts with if. Conclusion uses the word then. Important to math because of an example, (IF a=b and b=c, THEN a=c.)
 * Notes:** Independent variable is a reliable variable in the problem. domain is x value and range is y value.
 * Notes:** Bar graph compares different catergories of numerical information, or data. The percents in a circle graph should always have a sum of 100%. Line graphs are helpful for predictions and useful for data that changes over time. Either have to be increasing, 1 value increases or decreasing, 1 value decreases. If you have neither it is a no pattern graph.