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

12 Practice Tests for t h e SAT
466
Practice Test Five Answers and Explanations
7. D
Difficulty: Medium
Strategic Advice: Trans l ate from Eng l is h into mat h carefu ll y.
On Test Day, remem b er t h at terms l ike "t h e product of" or
"t h e difference of' refer to t h e w h o l e expression, not just
t h e individua l terms.
Getting to the Answer:
T h e product of z and 6 = (6z)
Squaring of t h e product of z and 6: (6z) 2
T h e difference of z and 6: (z- 6)
Squaring of t h e difference of z and 6: (z- 6) 2
(6z) 2 = (z- 6) 2
8. A
Difficulty: Medium
Strategic b Advice: Determine h ow many w h o e pieces can
e cut from t h e wire, t h en su b tract t h eir tota l l engt h from
t h e l engt h of t h e origina l piece of wire.
Getting to the Answer:
6 feet = 72 inc h es
10
1m
-70
2
2 inc h es of wire are l eft over.
9. B
Difficulty: Low
Strategic Advice: Since t h e equation is adding t h e a b so l ute
va l ue of x and t h e a b so l ute va l ue of y, it doesn't matter
w h et h ert h e point is positive or negative.
Getting to the Answer:
A: (-1, 4) I -1 I + I 4 I 5
B: (-4, 2) l -4 I + I 2 I = 6
C h oice (B) is t h e correct answer.
10. A
Difficulty: Medium
Strategic Advice: Find t h e possi b l e va l ues for n, t h en run
t h ose va l ues t h roug h eac h of t h e Roman numera l tests.
E l iminate any answer c h oice t h at does not contain a correct
Roman numera l .
Getting to the Answer:
n cou ld b e eit h er i· 4 , or 8.
I. Fa l se; i is not an integer. E l iminate (C), (D),
and (E).
Ill. Fa l se; n cannot equa l 5 since 5 is not present
in b ot h sets.
On l y condition II is true; t h erefore, t h e correct answer is (A).
11. E
Difficulty: Medium
Strategic Advice: "Direct l y proportiona l " means t h e va l ues
in ratio format. Set t h e two ratios equa l to one anot h er and
cross-mu l tip l y to so l ve for t h e missing varia b l e.
Getting to the Answer:
1:'..= 30
x 6
30 = .r.
6 8
(30 x 8) -+- 6 = 40
12. c
Difficulty: Medium
Strategic Advice: Find t h e va l ue of eac h term, t h en find t h e
difference.
Getting to the Answer:
First, find t h e va l ue of t h e 35t h term:
5(35) + 2 = 177
Next, find t h e va l ue of t h e 30t h term:
5(30) + 2 = 152
Su b tract to find t h e difference:
177-152=25
13. E
Difficulty: Medium
Strategic Advice: Use t h e formu l ae in t h e b eginning of
eac h section to h e l p you get to h e answer quic k l y. T h e
formu l a for t h e vo l ume of a rig h t circu l ar cy l inder is rrr2h.
Since t h e question asks for "c l osest vo l ume," you can
approximate a va l ue for n.