This Blog exists for the collective benefit of all algebra students. While the posts are specific to Mr. Chamberlain's class, any and all "algebra-ticians" are welcome. The more specific your question (including your own attempts to answer it) the better.
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Friday, June 3, 2011
Algebra Final Exam Review
Ask questions on the Final Exam Packets here... please specify the unit or packet and question#!!!
If you can clearly respond to questions before I do... please do. Remember, the process is more important than the answer.
For #1 on Unit 8 Review, I'm confused, if you can divide out exponents, what do you do when there is the same number on top, but negative? Because I have: [(-2.56)^7]/(2.56^6)
When graphing absolute value equations, remember the following:
- You should know the shape of the graph from our murals, yes? - You should know how to find the vertex, yes? (What's the lowest number that can "pop out" of the absval brackets?) - lastly, substitute values on either side of the vertex find add'l ordered pairs
For U4/#3, take a breath, please! Can you graph the points? Can you draw a straight line through the points? Do you really need to CALCULATE the slope??
I'm sorry if this makes you angry--but for U9 #3, I factored the equation to 4(x-3)(x+2)=0, but don't know what to do next.. Did I go in the wrong direction..?
You are SOLVING the equation for values of the variable that make the equation true.
Simply apply the ZERO PRODUCT PROPERTY. Don't let the coefficient of 4 fool you... the "solutions" are the same regardless of the coefficient. If you were to graph this as a parabola, the 4 would simply create a "skinnier" parabola than a coefficient of 1.
U10/#1 is simply a matter of combining like terms, yes?
U11/#1 was discussed in class the other day (remember the funky graph?). When you have variables in the denominator you run the risk of the denominator becoming zero for certain values of the variable. In this case, what values of 'x' would cause the denom to be zero... in this case it is 3 & -2 right? SO the domain is that the expression can be evaluated (valued) for all real numbers 'x' excluding 3 and -2 (these are called EXCLUDED VALUES).
When is the Final Exam? Next class?
ReplyDeleteWait-- I forgot! What are the slopes of horizontal & vertical lines?
ReplyDeleteI'm stuck on #3 in Unit 4 Review, I found the slope to be 0/4, but I don't know how to write an equation for that or how to graph it!
ReplyDeleteFor #7 in the Unit 4 Review, I'm not sure how to graph that..
ReplyDeleteWhat does "With integer coefficients" mean again?
ReplyDelete^ The question above is for #5 in Unit 5 Review. ^
ReplyDeletebtw... the final is on Wed, June 15th
ReplyDeleteFor #1 on Unit 8 Review, I'm confused, if you can divide out exponents, what do you do when there is the same number on top, but negative? Because I have: [(-2.56)^7]/(2.56^6)
ReplyDeleteWhat is a coefficient? What is an integer?
ReplyDelete(1/2)x+y=4
1/2 is a coefficient... is it an INTEGER coefficient?
When graphing absolute value equations, remember the following:
ReplyDelete- You should know the shape of the graph from our murals, yes?
- You should know how to find the vertex, yes? (What's the lowest number that can "pop out" of the absval brackets?)
- lastly, substitute values on either side of the vertex find add'l ordered pairs
For U8/#1, what is -3/1?
ReplyDeleteWhat is (-3)(-3(-3)/(3)(3)?
What is (-3)^7/(3)^6?
How is U8/#1 any different?
For horizontal and vertical lines, ARRGGGHHHH!!!! Go back to the problem sets, text book and video tutors, take two aspirin, and talk to me in class!!
ReplyDeleteI told you that you would get those questions wrong on the test (and the final?)!!
WEDNESDAY, JUNE 15TH?!?!?
ReplyDeleteOh! Phew!
And I'm reading your comments right now..
Integer Coefficient-- Oh, right, It would have to be a whole number, not a fraction.
ReplyDeleteI'm confused as to how to answer #3 in unit 11. Wouldn't it be simplified already?
ReplyDeleteFor U8 #1, I see the similarities, but I do not know how to solve it, still..
ReplyDeleteFor U4/#3, take a breath, please! Can you graph the points? Can you draw a straight line through the points? Do you really need to CALCULATE the slope??
ReplyDeleteAAARGGGGGGGHHHHHHHHHHHH!!!!!!!
What is standard decimal form?
ReplyDeleteFor U4/#3, SORRYYYYYYYYYYYYYYYYYYYYYYYYYYY!!!!!!!!
ReplyDeleteFor U8/#1, do it the LONG WAY and divide out all of the BFO's. Remember -3=-1*3, so -2.56=-1*2.56 as well. Hopefully, you know what (-1)(-1) equals?
ReplyDeletebtw, you are not solving, you are simplifying/evaluating.
Standard decimal form is what you would call a regular old number.
ReplyDelete7.91x10^3=7,910
7.91x10^-3=.00791
ca-peesh??
For U11/#3, gosh, give you guys a week off and the wheels fall off!!
ReplyDeleteCan x^2-16 be factored? Is it the difference of two perfect squares???
omg lol jk bbl
How do you multiply exponents with different bases?
ReplyDeleteVery carefully!
ReplyDeleteI still don't understand how to perform U8 #1..
ReplyDeleteThe rules of exponents apply only when the bases are the same. When bases are different, you cannot combine the exponents.
ReplyDeleteThere can be special cases, such as 3^6*9^2, since 3^4 can be re-written as 9^3 or 9^3 can be re-written as 3^4.
Ca-peesh?
I'm sorry if this makes you angry--but for U9 #3, I factored the equation to 4(x-3)(x+2)=0, but don't know what to do next.. Did I go in the wrong direction..?
ReplyDeleteBut in problems, such as 9^3*3^4, do you simplify the power and then multiply them together to simplify the expression?
ReplyDeleteI don't know how to do #1 U10.. Do you just take away the parentheses and simplify?
ReplyDeleteI'm having trouble with U11 #1.. Don't know how to do it :(
ReplyDeleteYes, for 9^3*3^4 you would simplify to 729*81=whatever
ReplyDeleteNever angry... just passionate about math!!
ReplyDeleteFor U9/#3 4(x-3)(x+2)=0 is a good step.
You are SOLVING the equation for values of the variable that make the equation true.
Simply apply the ZERO PRODUCT PROPERTY. Don't let the coefficient of 4 fool you... the "solutions" are the same regardless of the coefficient. If you were to graph this as a parabola, the 4 would simply create a "skinnier" parabola than a coefficient of 1.
U10/#1 is simply a matter of combining like terms, yes?
ReplyDeleteU11/#1 was discussed in class the other day (remember the funky graph?). When you have variables in the denominator you run the risk of the denominator becoming zero for certain values of the variable. In this case, what values of 'x' would cause the denom to be zero... in this case it is 3 & -2 right? SO the domain is that the expression can be evaluated (valued) for all real numbers 'x' excluding 3 and -2 (these are called EXCLUDED VALUES).
Ca-peesh?
Ca-peesh!
ReplyDelete