SAT I Reasoning Worksheet 8 With Answe
SAT I 2011 / 2012
Question booklet # 8
Grade
12
Cluster
Core
Subject
Mathematics
Student Name
Student Number
Section
Coverage
SAT I, basic reasoning questions.
1. If 10 + x is 5 more than 10, what is the value of 2x?
(A) −5
(B) 5
(C) 10
(D) 25
(E) 50
2. If x and y are positive integers, what are all the solutions (x, y) of the equation 3x + 2y = 11?
(A) (1,4) only
(B) (3,1) only
(C) (1,4) and (2,2)
(D) (1,4) and (3,1)
(E) (2,2) and (3,1)
3. When 70,000 is written as 7.0 × 10n, what is the value of n?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
4. On a car trip Ahmed drove m miles, Omar drove twice as many miles as Ahmed, and Ali drove 20 fewer miles than Omar.
In terms of m, how many miles did Ali drive?
(A) 2m + 20
(B) 2m – 20
(C) + 20
(D)
(E) 20
5. If y = 2x + 3 and x <2, which of the following represents all the possible values for y?
(A) y <7
(B) y >7
(C) y <5
(D) y >5
(E) 5 <y <7
6. For all numbers a and b, let a b be defined by a b = ab+ a + b. For all numbers x, y, and z, which of the following must be true?
I. x y = y x
II. (x 1) (x + 1) = (x x) – 1
III. x (y + z) = (x y) + (x z)
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
7. If x + k = 12 and p(x + k) = 36, what is the value of p?
(A) 3
(B) 4
(C) 6
(D) 9
(E) 12
8. If x2= x + 6, which of the following must be true?
(A) x = 6
(B) x <3
(C) x >0
(D) x2<x
(E) x2>x
9. In the figure below, point B lies on AC.
Note: Figure not drawn to scale
If x and y are integers, which of the following is a possible value of x ?
(A) 30
(B) 35
(C) 40
(D) 50
(E) 55
10. If , then y =
(A) 27
(B) 9
(C) 3
(D) 3
(E) 27
11. A total of 120,000 votes were cast for 2 opposing candidates, Khalid and Rashid.
If Khalid won by a ratio of 5 to 3, what was the number of votes cast for Rashid?
(A) 15,000
(B) 30,000
(C) 45,000
(D) 75,000
(E) 80,000
12. Let the function fbe defined by f(x) = 5x 2a, where a is a constant.
If f(10) + f (5) = 55, what is the value of a ?
(A)
Question booklet # 8
Grade
12
Cluster
Core
Subject
Mathematics
Student Name
Student Number
Section
Coverage
SAT I, basic reasoning questions.
1. If 10 + x is 5 more than 10, what is the value of 2x?
(A) −5
(B) 5
(C) 10
(D) 25
(E) 50
2. If x and y are positive integers, what are all the solutions (x, y) of the equation 3x + 2y = 11?
(A) (1,4) only
(B) (3,1) only
(C) (1,4) and (2,2)
(D) (1,4) and (3,1)
(E) (2,2) and (3,1)
3. When 70,000 is written as 7.0 × 10n, what is the value of n?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
4. On a car trip Ahmed drove m miles, Omar drove twice as many miles as Ahmed, and Ali drove 20 fewer miles than Omar.
In terms of m, how many miles did Ali drive?
(A) 2m + 20
(B) 2m – 20
(C) + 20
(D)
(E) 20
5. If y = 2x + 3 and x <2, which of the following represents all the possible values for y?
(A) y <7
(B) y >7
(C) y <5
(D) y >5
(E) 5 <y <7
6. For all numbers a and b, let a b be defined by a b = ab+ a + b. For all numbers x, y, and z, which of the following must be true?
I. x y = y x
II. (x 1) (x + 1) = (x x) – 1
III. x (y + z) = (x y) + (x z)
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
7. If x + k = 12 and p(x + k) = 36, what is the value of p?
(A) 3
(B) 4
(C) 6
(D) 9
(E) 12
8. If x2= x + 6, which of the following must be true?
(A) x = 6
(B) x <3
(C) x >0
(D) x2<x
(E) x2>x
9. In the figure below, point B lies on AC.
Note: Figure not drawn to scale
If x and y are integers, which of the following is a possible value of x ?
(A) 30
(B) 35
(C) 40
(D) 50
(E) 55
10. If , then y =
(A) 27
(B) 9
(C) 3
(D) 3
(E) 27
11. A total of 120,000 votes were cast for 2 opposing candidates, Khalid and Rashid.
If Khalid won by a ratio of 5 to 3, what was the number of votes cast for Rashid?
(A) 15,000
(B) 30,000
(C) 45,000
(D) 75,000
(E) 80,000
12. Let the function fbe defined by f(x) = 5x 2a, where a is a constant.
If f(10) + f (5) = 55, what is the value of a ?
(A)