
Another way to say constant rate of change is slope of a linear line.
Notice that in answer (1), while x is getting bigger, so is y — this is a positive slope of 3, and definitely does not match with the -3 we are looking for.
If you graph answer 2, it’s all over the place and doesn’t even have a constant rate of change.
Looking at the graph in answer 3, we can either use rise over run or the slope formula
m = (y2-y1)/(x2-x1) using two points on the graph (0,3) and (1,1). We can also say “When x goes up by 1, how much does y change?” and here we can see the slope is -2.
For answer 4, we would divide both sides by 2 to get a y= mx + b which would be y = -3x + 5 and here we can see the slope (m) would be -3.
Category Archives: Common Core Algebra I
Get the Math and Points June 2016 Alg I #22

For more detail, below please find the table and the graph regraph with zoom 5 zoom square) which makes the tickmarks fair:
Looking at the graph and the table, we can see the point of intersection is (1,3)…now we have to read the answer carefully. Notice that answers 3 and 4 are backwards. And that answers 1 and 2 are the x value that makes the equation true. Match up the x value with the x value in the point (1,3) and voila — 2 more points!
Get the Math and Points: Aug 2016 CC Alg I Regents #14

Notice how much it is for each additional hour:
$5.50. (9.00 – 3.50, 14.50 – 9.00, 20.00 – 14.50)
Let’s substitute in 5.50 into each equation and see if it makes the equation true.
(1) 9.00 + 3(5.50) = 20.00 that one is NOT true because 9 + 16.50 = 25.50 does NOT = 20
(2) 9.00 + 3.50(5.50) = 20 also not true
(3) 2 (5.50) + 9 = 11 + 9 = 20 :)
(4) 2 (5.50) + 9 does not equal 14.50.
That’s it — 2 more points!
(albeit very cheap parking rates)
Get the Math and Points: June 2016 CC Alg I Regents #21



Putting both equations into Y= and studying the table can help us solve this one!!
Now we must read carefully! What is the largest integer for which f(x)>g(x)?
For x = 7, f(x) = 13484 and is greater than g(x) = 2187
For x = 8, f(x) = 22409 and is still greater than g(x) = 6561
For x = 9, f(x) = 35244 and is still greater than g(x) = 19683
For x = 10, f(x) = 53009 and is NO LONGER greater than g(x) = 59049
Get the Math and Points: Aug 2016 CC Alg I Regents #13

So which one is NOT true??
(1) At o seconds, height was 180 so this is ok
(2) The highest height was 324 ft which happened at 3 seconds
(3) Um, at 7 seconds, it is still 68 feet above the ground
(4) From 2 to 4 seconds, the height is in the 300s