Chapter+1

**//Write mathmatical expressions for verbal expressions//** **//Write verbal expressions for mathmatical expressions//** **Vocabulary** **Examples/Notes** **4m³ = the product of 4 and m to the third power**
 * //1-1//**
 * **Varibles-letters used to express an unknown number.**
 * **Algebraic Expressions**
 * **factors**
 * **product**
 * **power**
 * **base**
 * **exponet**
 * **evaluate**

**1-2** **//Evaluate numerical expressions by using the order of operations.//** **//Evaluate algebraic expressions by using the order of operations.//**

**Vocab**
 * **order of operations**

**Examples/notes** **PEMDAS** **-** **parenthesis,exponets,multiplication,divison,addition, and subtraction** **GEMDAS- grouping symbols,exponets,multiplication,divison,addition, and subtraction**

**15/3*5+4^2** **1.solve exponets** **2.** **division** **3.multi** **plication** **4.** **addtion**

**2a(b-c)** **a=12.** **b=10** **c=9** **1. parentheses** **2. multiplication**

**1.3 9/8/11** **//Solve open sentence equations.//** **//Solve open sentence inequalities//** **.**

**Vocabulary:** **Equality:has an equals sign** **Inequality: Does not have and equals sign ex. greater than, less than, equal to** **Solution set:open sentence that has a set of elements from a replacement to make the sentence true.** **open sentence:math statement with one or more varibles**

**Examples:** **(Open Sentences)** **Equality** **b=12** **x=** **1/3**
 * **34-b=22**
 * **2/5 (x+1)=8/15**

**Inequality** **b>12 (because 14 works)**
 * **34-b<22**

**Flip the sign when you are multipltying or dividing by a negative number** **Watch for less than and greater than.**

**1-4** **//Recognize the properties of identity and equality.//** **//Use the properties of identity and equality.//**

**Vocab:**
 * **additive identity-the sum of a and 0 is always a**
 * **multiplicative identity- for any number (a) the product of a and 1 is always a**
 * **multiplicative inverses- same as reciprical**
 * **reciprocal- flip the fraction (3/1 to 1/3)**

**Examples:** **multiplicative identity** **:** **7*1=** **7** **multiplicative property of zero** **:** **7*0=0** **reciprocal: 3/1 to 1/3** **multiplicative inverses:2/3*3/2** **=** **6/6=1** **additive identity:7+0=7**

**1-5** **//Use the Distributive Property to evaluate expressions.//** **//Use the Distributive Property to simplify expressions.//**

**Vocabulary:** **term- a number, varible, product, or quotient of numbers and varibles** **like terms- terms that have the same varibles** **equivalent expressions- an expression** **simplest forms- writing the problem the easiest way you can.** **coeffcient-the number in the problem** **- When you're combining, you're simplifying. When you get rid of whats outside of the you're multiplying whats inside the **

**Examples:** **coeffcient-6xy the coefficient is 6.** **5(6m+4n-3n)=30m+5n** **: 30m+20n-15n : 20n-15n= 5n** **distribute, then subtract 15n from 20n** **When you are combining like terms you are** **simplifying**

**__Grade__** **A:** **the best time to use a bar graph is when you have to plot something** //(Example:// //If You are trying to see what moth had the highest math score.// //)// **2. when is it best to use a circle graph?** **A:** **they are best to use when you are trying to compare parts of a whole. They do not show changes over time.** //(Example: finding the percent of students in a school that like the color red)// **3.When is it best to use a line graph?** **A:** **A line chart is best used to visualize a trend in data over intervals of time** //(Example:// //When you are looking at something over time)//