Welcome back to Hip Hop Month in the SAT Tip of the Week space, where we’re firm believers in the art of telecommunications. As Kevin Gates has been informing the world the last couple months, it’s important to have two phones (and maybe two more) to get the job (or various jobs) done. Which jobs is he talking about? The SAT Math Sections of course!
When tackling the SAT Math Sections, you need to have “two phones,” or multiple strategies. Some are “the plug” – plugging in answer choices, or at least using them as assets – and some are “the load” – just rolling up your sleeves and doing a load of math to grind out the answer. And of course you should always have other strategies (two more phones, and then even more phones, as the chorus goes): picking your own numbers, using process of elimination, guessing intelligently, etc.
So, let’s talk about some of the “phones” you’ll want at your disposal on the SAT Math Sections.
Notice that KG leads with “The Plug” before “The Load” – of course everyone on test day should be ready to do some algebra and arithmetic, but the savviest of test-takers are very ready to use the answer choices to their advantage, and look for every opportunity to save time by doing so. Consider the problem:
Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old is Jack?
Here you could set up the algebra, or you could go to “the plug” and plug in the answer choices to see which one fits the setup. Since Jack is 14 years older than Bill, that means that Bill would be (for each answer choice):
Now look to see which pairing, when each is increased by 10, would have one double the other:
24 and 10 (no)
26 and 12 (no)
28 and 14 (yes), so C is the correct answer.
Here you could go to the “load” and slog through some algebra, but seeing that you can just plug in the answer choices allows you to turn your mind off for a few seconds and answer the question that way.
Often, you’ll see that there isn’t a shortcut available for an SAT problem or that the math itself is straightforward enough that you should just do it. That’s why it pays to have a second “phone” – each is going to be valuable in different circumstances. For example, consider the problem:
If 5x + 6 = 10, what is the value of 10x + 3?
Here, you’d do just as much work going from the answers to the problem (you’d have to take each answer, then set that equal to 10x + 3, then solve for x…) so you might as well load up on algebra and do it the straightforward way:
5x + 6 = 10
5x = 4
x = 4/5
So take that and put it in the new equation:
10(4/5) + 3 = 8 + 3 = 11, so C is our correct answer.
More than 2 Phones?
As Kevin Gates is careful to note, often 2 strategies (or phones) just aren’t enough. And for those looking to score above 700 on the SAT Math Sections, you’ll almost certainly want to have more tools in your toolkit. Another involves picking your own numbers to test the algebra. Consider the problem:
The expression (5x – 2)/(x + 3) is equivalent to which of the following?
(A) (5 – 2)/3
(B) 5 – (2/3)
(C) 5 – 2/(x + 3)
(D) 5 – 17/(x + 3)
Here, you’ll be glad you have another phone in your pocket. Since the given expression and the right answer have to be equivalent regardless of the value of x, you can pick your own value of x and see which answer matches. Rather than go through an ugly load of algebra, you can pick an x that makes the math clean (try x = -2, for example, since all the denominators are x + 3; if x = -2, then you’ve set the denominators to 1 and made the arithmetic really simple):
If that’s true, then the given expression becomes (5(-2) – 2)/(-2 + 3), which ends up at -12. Clearly A and B don’t match, so you can then plug in to the answer choices. For D, the correct answer, you’ll see a fit:
5 – 17(/-2 + 3) = 5 – 17 = -12, which matches the given expression, so D is right. And by using another strategy, you were able to skip some ugly algebra and save time for other problems where you need to have time for “the load” of algebra.
So remember, on the SAT Math section, you always have more than 2 phones – and that’s essential if you want to be an SAT baller. While you’re hustling on the SAT Math grind, remember those multiple “phones” in your toolkit, and your score will be the next thing that’s ring, ring, ring.
By Brian Galvin.