Unit+2-Linear+equations+and+Inequalities

__VOCABULARY__ __distributive property-__multiply the outside term by all terms on the inside of the parenthesis __﻿expression__-numeral and/or variable joined by any combination of the four basic operations __like terms__-two or more terms that have the same variables and powers __commutative property__-the property that changes the order of something __equation__-a mathematical statement that two expressions are equal __monomial__-a number multiplied by one or more variables __coefficient__-the number that is multiplied by one or more variables __inductive reasoning__-using examples and non-examples to identify a pattern and make a decision __combining like terms__-they have to have the same variables and exponents the sign to the left is the sign you use when adding and subtracting

﻿__**Key Terms**__ -combining like terms -simplifying larger expressions -solving two step equations -writing equations for word problems

=** Solving 2 Step Equations **=

WORKING BACKWARDS!
Seriously-Simplify Aunt-Add Sally-Subtract My-Multiply Dear-Divide Excuse-Exponents Please-Parenthesis

__**Simplify usually means two things:**__ -Distribute -Combining Like Terms

Suggestions: 1)Simplify each side of the equal sign separately first 2)Move all the variables to the left of the equal sign

Also, use a two column format to explain the steps you took when solving a 2 step equation.

5x+14=29 write out what you would do first(P.E.M.D.A.S.) multiply by 5 29-14=15 add 14 15/5=3 x=3 then work from the bottom of the list and go up makinig sure you are doing the opposite of what it's telling you to do you can also use the two column format to explain how you got your answer
 * Examples of two step equations and how to solve them:**

Writing Equations for Word Problems Tips for Word Problems 1.)Read the entire problem 2.)Think about what is going on in the problem. Imagine yourself in the situation. 3.)Identify what changes or what is missing and assign a variable to represent it 4.)Circle numbers and words that clue you into the operation 5.)Create an algebraic expression of the problem using your clue words 6.)Solve the equation 7.)Check to make sure your answer makes sense

__** Key Words **__ addition-and,plus,sum,more than,increased by,total,in all subtraction-minus,difference,less than,subtract,decreased by multiplication-times,product,multiplied,each,per,of division-divided,quotient,cut in half

__** Solving Inequalities **__
What is an inequality ? A term used to compare the size of 2 quatities

__** Four Signs: **__ < less than >greater than <-less than or equal to >-greater than or equal to = with a slash-not equal

__** Special Rules: **__ If you multiply or divide by a NEGATIVE, then you flip then inequality symbol at the end.

__** Solving Equations with variables on BOTH sides of the equal sign **__ When variables are on both sides: 1.) Simplify each side by distributing and combining like terms. 2.) Multiply ALL terms by the lowest common dinominator to get rid of fractions. 3.) Based on the sign to the left of the variable, add or subtract one of the variable terms to move it across the equal sign. WORK BACKWARDS!!!!!! example:3e-2-9e+3+4e=5e+7-e First-combine like terms: 3e -2 -9e +3+ 4e = 5e +7 -e -2e+1=4e+7 Next-move all variables to the left(in this case, subtract 4 from both sides) -2e+1=4e+7 -4e -4e you get:-6e+1=7 Last-work backwards -6e+1=7 multiply -6 add 1 7-1=6/-6=-1
 * SO:** e=-1

Resources ** -http://www.google.com/url we used this website to find the definitions -[] [] at these two websites you can find worksheets to practice two step equations and almost everything that we will learn in unit 2(including combining like terms) [] [] these websites have games you can play to practice solving two step equations and you can take lessons on what we are learning, practice with worksheets, and more! [] this will help you solve two step equations and many more by searching it on the website! [] here you read lessons and practice skills we are learning by looking at examples in a two column format like we did in class [] here you can play games and watch videos to help you solve equations [] here they give you examples and go step by step on how to solve them