CHAPTER 8 / ESSENTIAL ALGEBRA I SKILLS 315
SAT Practice 4: Working with Roots
- The square root of a certain positive number is
twice the number itself. What is the number?
(A) (B) (C)
(D) (E) 1
- If what is one possible value of x?
- If a^2 + 1 =10 and b^2 − 1 =15, what is the greatest
possible value of a−b?
(A) −3(B)− 1 (C) 3
(D) 5 (E) 7 - If , then y^3 =
(A) (B) (C)
(D) (E) 18
- If x^2 =4, y^2 =9, and (x−2)(y+3) ≠0, then
x^3 +y^3 =
(A) − 35 (B) − 19 (C) 0
(D) 19 (E) 35
4
3
2
3
4
9
2
9
3
2
y
y
=
1
2
xxx<<,
1
2
3
8
1
4
1
8
- If mand nare both positive, then which of
the following is equivalent to
(A)
(B)
(C)
(D)
(E)
- A rectangle has sides of length cm and
cm. What is the length of a diagonal of the
rectangle?
(A)
(B) a+ bcm
(C)
(D)
(E)
- The area of square Ais 10 times the area of
square B.What is the ratio of the perimeter of
square Ato the perimeter of square B?
(A) (B)
(C) (D)
(E) 40:1 - In the figure above, if nis a real number greater
than 1, what is the value of xin terms of n?
(A)
(B)
(C)
(D) n− 1
(E) n+ 1
n+ 1
n− 1
n^2 − 1
10 :1 410 :1
10 : 4 10 :2
abcm
ab^22 + cm
ab+ cm
ab+ cm
b
a
8 n
6 n
4 n
6 mn
3 mn
218
2
mn
m
?
n
1
x
....
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