Focus+Questions+(Algebra)

 Focus Questions

What is a literal equation? CA 4A

What formula do you use when solving motion word problems? CA 4A

What problem solving strategies are helpful when trying to solve word problems? CA 4a

What are the steps for multiplying 2 binomials? -CS4A

What do most students forget to do when they are asked to simplify (a+2)2 <---(squared) -CS4A most forget to square each part individually. ~JV4A

//What does sample space mean to you? - Sample space means (to me) the amount of possible outcome something has.-CA4A // //How are the tree diagrams connwcted with the counting princible?- tree diagrams are basically visuial representations of the counting princible-CA4A // //What is the difference between the empirical probablility vs. theoretical probability? - the difference is that the empirical probibility is like an experiment, you doing the work basically, and theoretical probablility is work or probability based on data or something someone already did.-CA4A // //How would you explain the probability of, 0.7 in terms of intuitive probability which is fom [0,1]? - likley cause because 1= certain! -CA4A //

what does "!" mean in math class?
=== -an exclamation point used in math class is not used to show an emotion, it is used to tell the person reading a math problem that they need to multiply that numer, as well as all of the numbers below till 1. (ex. 4! = 4 x 3 x 2 x 1 = 24) -md 2B ===

where do permutations pop-up in real life?
=== - an example of where permutations exist in real life is on lockers. they shouldnt be called "combinations", they should be called //permutations// because they are a sequence of numbers which must be used in a particular order to work out. -md 2B ===

- when you multiply or divide by a negative number, you must switch the sign. -md 2B

 * what is an inequality? **
 * -an inequality is known as polynomials joined by an equal sign. -md 2B**

when solving equations, what does it mean to "check"?
==== - checking after solving inequalities means to re-write the problem, substitute for "x", and then solve with the answer you think is correct. then you will be able to see if it works out correctly or not. -md 2B ====

- factoring completely means that you need to simplify by factoring, and that there is going to be more than one step in order to solve the problem and fulfill the task. -md 2B
what do you do with exponents when you divide polynomials? - you need to subract the exponents. -md 2B


 * what are permutations, and do they matter?**
 * - permutations are the order of events happening (in a specific order) and they affect each other. yes they matter very much! -md2B**

 1. What does sample space mean to you? 2. How are the tree diagrams connected with the counting principle? 3. What is the difference between empirical probability vs. theoretical probability? 4. How would you explain the probability of 0.7, in terms of intuitive probability, which is from [0,1]? -CS4A

how do you solve rational equations with fractinos? - you need to cross-multiply, distribute if needed, then solve algebraically. -md 2b

what is another word for "rational"? -fraction :) -md 2b

how do you multiply rational expressions? - simplify all expressions first, then factor up, down and across. then "match" and cancel out pairs. DONT BE A HOMEWRECKER.
 * expand out all variables and 'hug-out' single terms.** -md 2b

what step must you remember when dividing rational expressions? -KEEP, CHANGE, FLIP! then just multiply it like you would normally. -md 2b

how do you know if an equation is linear or not? -it must be a straight **__line__**. md2b

what does it mean to be a solution for a linear equation? -it means that there must be an actual point plotted on the line. md2b

how is converting a linear equation from standard form to slope-intercerpt form similar to literal equations? -they are similar because you are always solving for "y" (or the isolated variable) md2b

what are the four types of slopes and what do they look like? -vertical (undefined, up and down, straight) -horizontal (zero, side to side, straight) -positive (left to right, diagonally, moving upward) -negative (left to right, diagonally, moving downward) md2b

what is an example of an equation of a vertical line? what is it's slope? - X=1, it does not have a slope. md2b

what is an example of an equation of a horizontalline? what is it's slope? - Y=1, it's slope is zero md2b

how do you write linear equations? - y=mx+b md2b

how do parallel lines differ from perpendicular lines? parallel -> same perpendicular --> negative reciprocal md2b

how do you graph using slope-intercept form? (y=mx+b) -you need to first, plot the y-intercept (b). -then, count out the slope (m) -make several points and then connect them with a ruler. md2b

what must you include when you use your graphing calculator to graph linear equations to receive full credit? -plot at least 3 points -draw a straight line through the points with arrows at the ends. -label with the original eqaution. md2b

what are the 2 components you need in order to write linear equations? - m and b md2b

how do you write a linear equation, given the slope and a point? -do y=mx+b, then substitute in the x, y, and slope. md2b

how do you write an equation of a line given only 2 points? - __y2-y1__ x2-x1 > then substitute the values for slope, and then use one of the points and substitute with that too. md2b

what is the difference between univariate and bivariate data? -univariate: one variable, one focus of data -bivariate: two variables, usually affecting one another in some way, focusing on the cause and effect relationship between two pieces of data and how they compare. md2b

what does it mean for a relationship amongst data to be casual? - it means that the pieces of data and related and have an impact on one another. md2b

what are the three types of correlation between variables? -univariate (one thing) -bivariate (two things compared) -no correlation (no relationship whatsoever) md2b

how do you create a scatter plot and what do they look like? -you create a scatter plot by making a graph and plotting the points according to your data. however, you do not label or connect the points (no causation). it should look like a bunch of spots on a graph, and when really thought about in detail, you should notice some sort of pattern. either a poistive slope or a negative slope, or no correlation; meaning there is no pattern in the data and all the dots are randomly scattered. md2b

what do 'a' and 'b' represent in linear regression? -a represents the slope -b represents the y-intercept md2b

what does it mean to 'extrapolate' information? -to extrapolate information means to predict information outside of the given data. (make assumptions/conclusions) md2b