Sat math Essentials

1.
c.
Substitute –3 for 
x
and solve for 
y
:
y
= –(–3)
3
+ 3(–3) – 3
y
= –(–27) – 9 – 3
y
= 27 – 12
y
= 15
5
2
4
5
6
6 – 
9
2
6
5
6
–
P R A C T I C E T E S T 3
–
2 4 0

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2.
d.
The first term in the sequence is equal to 5 
3
0
,
the second term is equal to 5 
3
1
, and so on.
Each term in the pattern is equal to 5 
3
(
n
– 1)
,
where 
n
is the position of the term in the pat-
tern. The tenth term in the pattern is equal to
5
3
(10 – 1)
, or 5 
3
9
.
3.
e.
If Wendy tutors 
t
students the first day, then
she tutors 2
t
students the second day, 4
t
stu-
dents the third day, 8
t
students the fourth day,
and 16
t
students the fifth day. The average
number of students tutored each day over the
course of the week is equal to the sum of the
tutored students divided by the number of
days:
= 
3
5
1
t
.
4.
c.
Jump sneakers cost $60 – $45 = $15 more, or 
1
4
5
5
= 33% more than Speed sneakers. Speed sneak-
ers cost $15 less, or 
1
6
5
0
= 25% less than Jump
sneakers. For the two pairs of sneakers to be the
same price, either the price of Speed sneakers
must increase by 33% or the price of Jump
sneakers must decrease by 25%.