Chapter 14 Practice Test 4 With Answers - Mcgraw-Hill'S Psat/nmsqt Page 38
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45510
M
GRAW-HILL’S PSAT/NMSQT
C
jellybeans. There would be a total of x þ 4x þ 12x
B
þ 24x ¼ 41x jellybeans, of which 4x are yellow.
o
Thus the probability is 4x out of 41x.
8
o
60
45
(Chapter 10 Lesson 6: Probability Problems)
4
o
o
45
30
A
D
C
4
4 3
17. B
The regular price of the pair of sneakers is s
dollars. First find out how much it costs when it is
20% off by subtracting 0.20s from s: s 2 0.20s ¼ 0.80s
1
Set up equation for area: A ¼
(base)(height)
Next, find out how much it costs after the 15%
2
frequent buyer discount:
What is 15% of 0.80s?
ffiffiffi
p
1
Substitute:
A ¼
(4 þ 4
3
)(4)
x ¼ 0.15(0.80s)
2
ffiffiffi
p
x ¼ 0.12s
Simplify:
A ¼ 8 þ 8
Simplify:
3
Now, subtract 0.12s from 0.80s to obtain the final
(Chapter 11 Lesson 2: Triangles)
sale price:
0.80s 2 0.12s ¼ 0.68s
Alternatively, you can skip a step by realizing that if
3c
9c
something is reduced by 15%, it is 85% of the orig-
20. D
5
raised to the third power is equal to 5
.
inal.
3
3
3c
9c
9c
3c
Substitute (5
)
for 5
:
5
¼ (5
)
Again begin by first finding out how much it costs
3
(aþb)
3c
9c
(aþb)
Substitute 5
for 5
:
5
¼ (5
)
when it is 20% off by subtracting 0.20s from s:
s 2 0.20s ¼ 0.80s
Now, instead, find 85% of 0.80s: 0.85(0.80s) ¼ 0.68s
(Chapter 8 Lesson 5: Percents)
x
y
The laws of exponents tell us that (5
)
is the same
y
x
as (5
)
.
3
(aþb)
3(aþb)
Rearrange exponents:
(5
)
¼ 5
It took Nguyen t hours to get to the football
18. C
(aþb)
3(aþb)
3
Rearrange exponents:
5
¼ (5
)
game. Given that he was one hour late, he would
(aþb)
3
aþb
Simplify:
(5
)
¼ 125
have liked the trip to have taken t 2 1 hours. Find
the speed it would take him to go d miles in t 2 1
(Chapter 9 Lesson 3: Working with Exponents)
hours:
d ¼ (rate)(time)
Substitute:
d ¼ (rate)(t À 1)
d
Divide by t À 1:
¼ rate
t À 1
Section 3
(Chapter 10 Lesson 4: Rate Problems)
25. C
Start with the second half of this sentence.
The decision ruled that segregation . . . was unequal
19. A
If AD ¼ DB, then /BAD ¼ /ABD ¼ 458
and that such behavior should be eliminated.
because triangle ABD is therefore an isosceles
The word in the second blank, which describes
right
triangle.
Since
ADB
is
a
458-458-908
that behavior, should relate to segregation (the
triangle, AD ¼ DB ¼ 4 (because the sides of a
policy or practice of separating people of different
ffiffiffi
p
458-458-908 triangle are in the ratio of x-x-x
2
).
races, classes, or ethnic groups). It follows logi-
Triangle BDC is a 308-608-908 triangle, and the
cally that if the decision eliminated segregation,
sides can be filled using the fact that the sides of a
it would be a step toward equality. inequity ¼
ffiffiffi
p
308-608-908 triangle are in the ratio of x-x
3
-2x).
inequality;
bigotry ¼ intolerance;
disparity ¼ in-
equality; revelation ¼ a sudden realization
26. E
Douglas Adams is remembered for his ability
to craft humorous and insightful parody, and he was a
master of this skill. The missing word should be a
word that describes a literary work that is a humor-
ous parody. atrocity ¼ something horrible; candor ¼
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