Sat Math Easy Practice Worksheet With Answer Key Page 11
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17SAT Math Easy Practice Quiz #2 Answers
Algebra and Functions
4. A
(Estimated Difficulty Level: 1+)
Understanding functions on the SAT is all about un-
1. B
(Estimated Difficulty Level: 1)
derstanding the notation. If I were to tell you that
y = 3x+1 and I wanted to know what y+1 is, you would
Solve for x by adding 1 to both sides: 2x = 7 so that
just say: y = 3x+1 so that y +1 = (3x+1)+1 = 3x+2.
That problem is the same as this problem! Instead, y
x = 3.5. Then, 2x + 1 = 2 × 3.5 + 1 = 8 so that B is the
correct answer.
has been replaced by f (x).
But we didn’t even need to do that! A common type of
We could make this problem even easier by using a num-
ber for x, say x = 1. Then, f (1) = 3(1) + 1 = 4 so that
algebra question on the SAT doesn’t ask you to solve
for x, but instead asks you to find 3x, say, or 2x + 1
f (1) + 1 = 4 + 1 = 5. Which of the answers gives us 5
as in this problem. Here, we are given 2x
1. How
when you plug in 1 for x ? Only answers A and D. Plug
in another number for x (say, 2) to find out which of
do you get 2x + 1 from that? Add 2 to both sides!
2x
1 + 2 = 2x + 1 = 6 + 2 = 8. Done! We don’t even
these two answers is correct. Only answer A will always
give you the correct number.
care what x is. And x doesn’t care who we are since it
is a pretentious celebrity variable.
5. D
(Estimated Difficulty Level: 1)
2. A
(Estimated Difficulty Level: 1)
If you can simplify the inequalities, great! You will get:
x < 4.5 and x > 3.66. Only answer D is less than 4.5
and greater than 3.66.
SAT math translation time! First, the sum of x and
8 is x + 8. Then, 3 times this sum is just 3 × (x + 8)
You can also solve this problem with a classic stick-it-
or 3(x + 8). You can make this problem even easier by
to-the-SAT strategy: use the answers! Plug each one in
putting in a number for x, say, 1. What is 3 times the
for x until it works. For example, you can try answer
sum of 1 and 8 ? Just 3 × 9 = 27. When you plug in
B by setting x = 2. Then, 2x = 4, which is less than
x = 1 into the answers, only answer A will give you 27.
9, but 3x = 6, which is not greater than 11, so answer
B is not correct. Continue doing this until you get an
answer that works.
3. C
(Estimated Difficulty Level: 1)
6. C
(Estimated Difficulty Level: 1+)
One of the equations works for all five pairs of numbers;
the others will work for only some of the pairs, or none
Make this problem easy by using numbers for variables.
at all. So we need to plug in the x and y values from the
For example, let’s say that you rent the car for 3 days.
table into the equations to see which ones work. Hint:
This will cost you $40 plus 3 × $80, for a total of $280.
if you see a zero in a table problem like this one, use it
Now, set d = 3 and go through the answers until you
first! When you plug in 0 for x into the answers, you
get $280. The output (the y-value) of each function is
get y =
6 only for answers A and C, so the other an-
the cost in dollars to rent the car. Answer A says that
swers must be incorrect. (As you go, you don’t need to
the cost is f (3) = $120, which is not equal to $280.
check the incorrect answers anymore.) The next easiest
Only answer C gives f (3) = $280, so it must be correct.
number to plug in for x is probably 2. The table says
we should get y =
2; answer A gives y =
10, and
Maybe the difficult question to answer here is: Do cars
answer C gives us y =
2, so answer C is the correct
from Garbanzo Auto run on vegetable oil?
one.
pg. 11
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