The solution is/are the point(s) that makes the equation true! For example, the equation
y = 2x + 3 has many solutions including (1,5), (2,7), (3,9) and many more.
Using Regents questions can help students understand content while increasing their confidence and score!!
Which interval has the greatest slope or the steepest portion!!
(1) hour 0 to hour 1, the y value changed from 0 to 2
(2) hour 1 to hour 2, the y value changed from 2 to 3.5
(3) hour 2 to hour 3, the y value changed from 3.5 to 4.5
(4) hour 3 to hour 4, the y value changed from 4.5 to 5
So which has the greatest rate of change? We can also look at the graph and see the portion that is the steepest.
That’s it!! 2 points
Q: In the “old days”, most people wore a watch and it was not always accurate. A friend had a watch that gained 6 minutes every hour. If this watch is set accurately at midnight and the watch stopped a half hour ago and it now shows 8:26AM, what is the current correct time?
A: The watch is gaining 6 minutes every hour, for every hour, the watch will show 66 minutes. Since the watch shows 8:26 am, we know that 506 watch minutes have passed which is 460 real minutes (506 x 60/66 ) = 7 hrs and 40 minutes which would make it 7:40.
The watch stopped 30 minutes ago, therefore the time must now be 8:10 am.
This is a substitution problem so let’s try answer choice (1) first
2(6+2)^2 – 4 is way more than 28
Let’s try answer choice (2):
2(2+2)^2 – 4 = 28 YUP :)
Since 2 works now we just have to see if -6 works as well:
2(-6+2)^2 – 4 = 28 YUP :)
2 more points!!
OK back to our trusty TI-84. Let’s enter all 4 and find the odd man out!
Not only is one different than the others but it is the only one that LOST money.
If you put money into a savings account it should grow!!!
That’s it — 2 more points!!
Math Confidence by Robin the Math Lady 