Solving+Equations

 ¨  ** Solution of the equation-To find a solution. **  ¨  ** Equivalent equations- Are equations that have the same solution(or solutions). **  ¨  ** Inverse operations-Are operations that undo one another. **  ¨  ** Literal Equation-an equation involving two or more variables. **  ¨  ** Consecutive integers-Integers that differ by one.
 * Five Key Term: **

** Word problem: **
 * Examples: Find the missing term **
 *  1.  ****  x-3=-8 add 3 to both sides to get the variable alone on one side of the equal sign x-3+3=-8+3 your answer is x=-5 and then substitute -5 for x to check your answer x-3=-8 -5-3=-8  **
 *  2.  **** 3x-2=4 add 2 to both sides the answer will come out to be 3x=6 you will divide 3 to both side to get the variable by itself and your answer will be x=3 **
 *  3.  **** 2c+c+12=78 to solve this problem combine like terms 2c+c=3c so your equations will be 3c+12=78 the you follow the steps in problem 2 **
 *  4.  **** 6x+=8x-21 in this problem you have to subtract 6x for each side 6x+3-6x=8x-21-6x so 6x-6x=0 and 8x-6x= 2x so your equation will be 3+21=2x-21 add 21 on both side so it will be 24=2x divide 2 on both sides and the answer will be x=12 **
 * A gardener is planning a rectangular garden area in a community garden. His garden will be next to and existing 12- ft fence. The gardener has a total of 44-ft of fencing to build the other three sides of his garden. How long will the garden be if the width is 12 ft? **
 * X+12+x=44 combine like terms 2x+12=44 subtract 12 from both sides 2x=32 the **