One of the few things to memorize for the Regents is the formula for compound interest:
A = P(1 + r)^t
A is the account balance or amount
P is the principal or initial amount = 3000
r is the rate 4.2 % we need to convert this to a decimal
t is time
so the equation is:
A = 3000 (1 + .042)^t or it can be written as: A = 3000 (1.042)^t
That’s it — just writing this equation is 2 points!!
Please visit this blog post for a related multiple choice item from Jan 2016:
WODB? Which One Doesn’t Belong? see the italicized word not
study the top and bottom equations in each answer choice and compare to the original
(1) top equation exactly same as given
bottom is equivalent to the given…just all the signs are changed
(2) top equation exactly same as given
bottom all terms are doubled
(3) top all terms are tripled
bottom is the second line of answer (1) tripled or the original second line multiplied by -3
(4) is the odd one out
top is doubled
bottom: the left side is x 4 but the right side has not changed
From the Jan 2016 Common Core Algebra I Regents:
The level of challenge on the Regents like any exam varies quite a bit.
After posting about #1-19 of the Jan 2016 Common Core Algebra I Regents, challenge level is being added to each problem.
Please comment if you feel a problem is misclassified as I am only right about 80% of the time. Most importantly, students need to know what they find easy medium hard (often abbreviated as EMH)
click on the word easy for blog posts for Jan 2016 1 3 4 5 8 9 12 15 16
click on the word medium for blog posts for Jan 2016 2 7 13 14 17 18 19
click on the word hard for blog posts for Jan 2016 6 10 11 20
Check out the y values…they are always positive and head towards zero but will never become zero. So y is greater than zero — please see the graph below: the graph looks like it hits the x-axis but never actually will as the small y values get super teeny but never hit zero.
From the January 2016 Common Core Algebra I Regents
According to www.regentsprep.org:
“Recursion is the process of choosing a starting term and repeatedly applying the same process to each term to arrive at the following term. Recursion requires that you know the value of the term immediately before the term you are trying to find.”
This question is all about notation. Recursive means what happens to each number so that it becomes the next number in the sequence.
How can we get from 3 to 7 and then from 7 to 15? and then from 15 to 31. Each new number in pink is just a little bit more than double the previous number. Look carefully at all four choices — only one of them is close to multiplying by 2.
f(1) = 3 means that the first number of the sequence is 3 which appears in all 4 answers.
f(n + 1) means the next number in the sequence.
Find the one that matches the given pattern 🙂