CHAPTER 8 / ESSENTIAL ALGEBRA I SKILLS 311
SAT Practice 3: Working with Exponentials
- If g=−4.1, then
(A) − 1
(B)
(C)
(D)
(E) 1
- If (200)(4,000) = 8 × 10 m, then m=
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
- If 2a^2 + 3 a− 5 a^2 =9, then a−a^2 =
(A) 1
(B) 3
(C) 6
(D) 9
(E) 12
- If 2x=10, then 2^2 x=
(A) 20
(B) 40
(C) 80
(D) 100
(E) 200
- If 5x=yand xis positive, which of the following
equals 5y^2 in terms of x?
(A) 5^2 x
(B) 5^2 x+^1
(C) 25^2 x
(D) 125^2 x
(E) 125^2 x+^1
1
3
−
1
9
−
1
3
−
(− )
=
3
3
2
2
g
g
- If 9x=25, then 3x−^1 =
- If then what is the effect on the value of
pwhen nis multiplied by 4 and mis doubled?
(A) pis unchanged.
(B) pis halved.
(C) pis doubled.
(D) pis multiplied by 4.
(E) pis multiplied by 8. - For all real numbers n,
(A) 2
(B) 2n
(C) 2n−^1
(D)
(E)
- If mis a positive integer, then which of the fol-
lowing is equivalent to 3m+ 3 m+ 3 m?
(A) 3m+^1
(B) 3^3 m
(C) 3^3 m+^1
(D) 9m
(E) 9^3 m
2
1
n
n+
n
n
2
+ 1
22
22
nn
n
×
×
=
p
n
m
=
3
3 ,
....
1 2 3 4 5 7 8 9
6
1
0 2 3 4 5 7 8 9
6
1
0 2 3 4 5 7 8 9
6
1
0 2 3 4 5 7 8 9
6