12.Practice.Tests.for.the.SAT_2015-2016_1128p

12 Practice Tests for the SAT
734 Practice Test Eight Answers and Explanations
SECTION 4
1. c
Difficulty: Low
Strategic Advice: This is a translation problem, so you have
to take the words a few at a time and find the equivalent
algebraic equation.
Getting to the Answer:
Start with the words 7 2 less than. What if you were asked,
''What is 12 less than 20?" That's easy, right? Twelve less
than 20 is just 20 minus 12. So 12 less than the product
of something is going to look like something minus 12.
The next part of the phrase is the product of 3 and b. You
should know that a product is the result of multiplying two
numbers together. So the product of 3 and b is just 3 times
b, or 3b. Therefore, 12 less than the product of 3 and b is
just 12 less than 3b, or 3b - 12. The next word, is, means
equals, so we have 3b - 12 =. What does it equal? 9, of
course, so the entire equation is 3b - 12 = 9, (C). You
might have been tempted by (A), which is similar, but
notice that in (A) the 12 is being subtracted from b, not
from the product of anything.
2. c
Difficulty: Low
Strategic Advice: Don't rush when working with simple
variable problems.
Getting to the Answer:
If Vx = 3, then x = 9. Plug x = 9 into the expression x 2 - l,
which gives you 81 - l = 80.
3. E
Difficulty: Low
Strategic Advice: For each of the 4 entrances, there are 3
exits. To find the number of combinations possible, multiply
the number of entrances by the number of exits.
Getting to the Answer:
4x3=12
4. D
Difficulty: Low
Strategic Advice: Since A is at -2 and 0 is at 7, AD has a
length of 9, and B and C must be 3 units away from the
end points.
Getting to the Answer:
The coordinates of B and C must be -2 + 3 = l and
7 - 3 = 4. You aren't told which point goes where, but only
one answer choice, (D), contains one of these values.
5. B
Difficulty: Low
Strategic Advice: First find out how much Tariq's purchase
will cost.
Getting to the Answer:
Twenty-one oranges at 30 cents each will cost 21 x $0.30 =
$6.30.
Twelve apples at 50 cents each will cost 12 x $0.50 = $6.00.
The total purchase would cost $6.30 + $6.00, or $12.30.
Since Tariq only has $1 0, he needs $12.30 - $10.00, or
$2.30 more.
6. D
Difficulty: Medium
Strategic Advice: The fastest way to do this problem is to
plug the values of C and 0 listed in the chart into each of the
answer choices.
Getting to the Answer:
Start with (A). Plugging in - l and -4 works,
as -4 = - l - 3, but does 2 = l - 3? No, so move on to
the next one. Since -4 * 2(- l ), (B) can be eliminated. We
know -4 * 2(-1) + 2, so (C) can be eliminated as well.
Look at (D):
Does -4 = 3(-1) - l?
Does 2 = 3(1) - l?
Does 8 = (3)(3) - l?
Does 14 = 3(5) - l?
Yes.
Yes.
Yes.
Yes.
Since all the pairs work for (D), that's the answer. Just for
practice, look at (E). Plugging in the first pair of values gives
you -4 = 3 (- 1) + l. Is this true?
No, because 3(- l) + l = -2.