In algebra we learned how to solve polynomials using the x graph. I learned that if the polynomials dont have a GCF in common except for 1 then you use the X graph. I also learned that you only use the X graph when A= 1. To use the graph you place the last number in the top part of the X and place the 2nd number on the bottom of the X. Now to solve it you have to figure out what multiplied by what gives you the number on the top, and what plus what gives you the number on the bottom.
In math I learned how to use Geometric Sequence. Even though we learned Arithmetic Sequence, Geometric sequence is different. I learned that Geometric Sequence is only used for multiplication and arithmetic sequence is used for adding or subtracting. I also learned in geometric sequence that instead of calling the number it repeats by "common difference" It's called "common ratio".
Today we had a review packet which contained all that we learned. What I learned was that to set up a pair of linear equations you need to figure out what we need to find and then add in the variable meaning in the 2nd equation. I also learned that to test if you need to shade above or below you can test a point by using 0 into the equation and if its true you shade where (o,o) is, if not then shade where (0,0) isn't there.
During class we just review what we learned. I learned that when we substitute a variable we plug the equation into the other to solve it. I also learned that if a number is repeated in the domain then the set of data is not a function since each domain can only have one range. although some were hard I made it through and now I learned I need to review over my notes.
In algebra we moved on to a new lesson. relations and domains, This lesson determined the x and the y points. Along with if they are a function by using graphs, mapping diagram, and a table. I learned that if you see a repeated number you only need to write it down once. I also learned that a function means that each domain (x value) has only 1 range (y value)
The last method to solve inequalities algebraically is to use the elimination method
elimination method: step 1) if necessary, multiply one or both equations by a number so that the coefficients of a chosen variable are opposites 2x+2y=6 3x-2y=4 step 2)add the equations 2x+2y=6 step 3)find the value of one variable by solving the equation from step 2 2x+2y=6 +3x-2y=4 5x=10 5 = 5 x=2 step 4)substitute either x or y back into one of the original equations 2(2)+2y=6 4+2y=6 -4 -4 2y=2 y= 1 step 5) write your solution as an ordered pair (x,y) (2,1) 10/2 /14
There are 3 methods to solve inequalities the first algebraic method is called substitution. Substitution is the method where we substitute (plug in) a equation into the inequality and solve. Solving By Substitution: step 1)substitute one of the equations into the other equation y=3x y=1x-2 3x=1x-2 step 2)solve the equation to get the value of the first variable 1x-2=3x -1x -1x -2 =2x 2 = 2 -1=x step 3)substitute the value into one of the original equations and solve for the other variable y=3(-1) y=-1 step 4)write values as an ordered pair (x,y) (-1,-3) How can you simplify Algebraic Expressions?
solving expressions: ex. 9a+3b+5a step 1)Identify like terms 9a+3b+5a step 2) reorder terms so like terms together 9a+5a=3b step 3)add or subtract like terms 9a+5a+3b \ / 14a+6a final answer:14a+6a |