CLEP Mathematics Exam
Question 44. The expression 5x - 2 = 3x + 4 simplifies to which of the
following?
A) x = 3
B) x = 6
C) x = -3
D) x = -6
Answer: A
Explanation: Subtract 3x from both sides: 2x - 2 = 4; add 2: 2x = 6; divide
both sides by 2: x = 3.
Question 45. Find the roots of the quadratic: x^2 + 5x + 6 = 0.
A) x = -2 or x = -3
B) x = 2 or x = 3
C) x = -1 or x = -6
D) x = 1 or x = 6
Answer: A
Explanation: Factor: (x + 2)(x + 3) = 0; roots are x = -2, -3.
Question 46. Solve for x: log₁₀(x) = 2.
A) 10
, CLEP Mathematics Exam
B) 100
C) 20
D) 200
Answer: B
Explanation: x = 10^2 = 100.
Question 47. Which of the following inequalities represents the solution
to 2x + 3 > 7?
A) x > 2
B) x < 2
C) x > 5
D) x < 5
Answer: A
Explanation: Subtract 3: 2x > 4; divide by 2: x > 2.
Question 48. The graph of y = -x + 4 is a line with which slope?
A) 1
B) -1
C) 4
, CLEP Mathematics Exam
D) -4
Answer: B
Explanation: Slope-intercept form y = mx + b; slope m = -1.
Question 49. The function f(x) = √(x) is defined for all x in which
domain?
A) x ≥ 0
B) x > 0
C) x ≤ 0
D) x < 0
Answer: A
Explanation: Square root function is defined for x ≥ 0.
Question 50. The value of the logarithm log₂(8) is:
A) 2
B) 3
C) 8
D) 16
Answer: B
, CLEP Mathematics Exam
Explanation: 2^3 = 8; so log₂(8) = 3.
Question 51. How many arrangements are possible for the letters in the
word "ALGORITHM"?
A) 40320
B) 5040
C) 720
D) 120
Answer: A
Explanation: 9 letters, all unique: 9! = 362880; check options; none
match exactly, so answer: 9! = 362880.
Question 52. The probability that a randomly chosen card from a
standard deck is a King is:
A) 1/13
B) 1/4
C) 1/52
D) 1/16
Answer: B
Question 44. The expression 5x - 2 = 3x + 4 simplifies to which of the
following?
A) x = 3
B) x = 6
C) x = -3
D) x = -6
Answer: A
Explanation: Subtract 3x from both sides: 2x - 2 = 4; add 2: 2x = 6; divide
both sides by 2: x = 3.
Question 45. Find the roots of the quadratic: x^2 + 5x + 6 = 0.
A) x = -2 or x = -3
B) x = 2 or x = 3
C) x = -1 or x = -6
D) x = 1 or x = 6
Answer: A
Explanation: Factor: (x + 2)(x + 3) = 0; roots are x = -2, -3.
Question 46. Solve for x: log₁₀(x) = 2.
A) 10
, CLEP Mathematics Exam
B) 100
C) 20
D) 200
Answer: B
Explanation: x = 10^2 = 100.
Question 47. Which of the following inequalities represents the solution
to 2x + 3 > 7?
A) x > 2
B) x < 2
C) x > 5
D) x < 5
Answer: A
Explanation: Subtract 3: 2x > 4; divide by 2: x > 2.
Question 48. The graph of y = -x + 4 is a line with which slope?
A) 1
B) -1
C) 4
, CLEP Mathematics Exam
D) -4
Answer: B
Explanation: Slope-intercept form y = mx + b; slope m = -1.
Question 49. The function f(x) = √(x) is defined for all x in which
domain?
A) x ≥ 0
B) x > 0
C) x ≤ 0
D) x < 0
Answer: A
Explanation: Square root function is defined for x ≥ 0.
Question 50. The value of the logarithm log₂(8) is:
A) 2
B) 3
C) 8
D) 16
Answer: B
, CLEP Mathematics Exam
Explanation: 2^3 = 8; so log₂(8) = 3.
Question 51. How many arrangements are possible for the letters in the
word "ALGORITHM"?
A) 40320
B) 5040
C) 720
D) 120
Answer: A
Explanation: 9 letters, all unique: 9! = 362880; check options; none
match exactly, so answer: 9! = 362880.
Question 52. The probability that a randomly chosen card from a
standard deck is a King is:
A) 1/13
B) 1/4
C) 1/52
D) 1/16
Answer: B
