STUDY CLEP COLLEGE MATH ACTUAL 2025/2026 QUESTIONS AND 100% VERIFIED ANSWERS

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STUDY CLEP COLLEGE MATH ACTUAL 2025/2026 QUESTIONS AND 100% VERIFIED ANSWERS One of the following is equivalent to the statement "If Joan sings, then I will play my guitar"? A. Joan sings and I will play my guitar. B. Joan does not sing and I will not play my guitar. C. Joan sings or I will not play my guitar. D. Joan does not sing or I will play my guitar. - Answer -(D) Given a conditional statement in the form "If P then Q," an equivalent statement is in the form "Not P or Q." In this example, P is the statement "Joan sings" and Q is the statement "I will play my guitar." #31 Practice test 1 How many four-digit numbers are there such that the first digit is odd, the second is even, and there is no repetition of digits? A. 1,200 B. 1,625 C. 200 D. 1,400 - Answer -(D) There are five possibilities for the first (1, 3, 5, 7, 9), five for the second (0, 2, 4, 6, 8), eight possibilities for the third (10 - 2), and seven for the fourth (8 - 1) = 7. We subtracted 2 possibilities on the third and 3 on the fourth because there is no repetition, as shown below: 5 x 5 x (10 - 2)(8 - 1) = 5 x 5 x 8 x 7 = 1,400 Which one of the following is equivalent to the negation of the statement "Cats are friendly and Bob has a hamster"? A. If cats are friendly, then Bob does not have a hamster. B. If Bob has a hamster, then cats are friendly. C. If cats are not friendly, then Bob has a hamster. D. If Bob does not have a hamster, then cats are not friendly. - Answer -A) When a statement is in the form "If P, then Q," the equivalent statement is in the form "Not P or Q." The negation of "Not P Need assistance on Online classes, Exams & Assignments? Reach out for instant help!! Full Course Assistance, Plagiarism-free Essay Writing, Research Paper, Dissertation, Discussion Posts, etc…. Confidential & Secure services. Tutors are available for all subjects! Email now at: tutorjean01@gmail.com or Q" is the statement "P and not Q." Let P represent the statement "Cats are friendly." Let "not Q" represent the statement "Bob has a hamster." Then the given statement in the stem of this question is written in the form "P and not Q," so the negation will be in the form "If P, then Q." Note that Q represents the statement "Bob does not have a hamster." #5 Practice Test 1 Not counting the empty set, how many proper subsets are there for R = {2, 3, 4}? A. 5 B. 6 C. 7 D. 8 - Answer -(B) Given a set of n elements, the number of proper subsets is given by the expression 2ⁿ – 1. The set of proper subsets does not include the set itself. However the expression 2ⁿ – 1 does include the empty set. Thus, the answer is 2ⁿ – 2 = 2³ – 2 = 6. #6 Practice Test 1 If f(x) = 2x + 4 and g(x) = x² - 2, then (f∘g)(x), where (f∘g)(x) is a composition of functions, is: A. 2x² - 8 B. 2x² + 8 C. 2x² D. 2x³ + 4x² - 4x - 8 - Answer -(C) (f∘g) (x) = f(x) ∘ g(x) = f(g(x)) This is the definition of the composition of functions. For the functions given in this problem we have 2(g(x)) + 4 = 2(x²-2) + 4 = 2x²-4+4 = 2x² #8 Practice Test 1 Given that i = √-1 , what is the simplified expression for 3i³ - 4i² + 5i? A. -2i - 4 B. -2i + 4 C. 2i - 4 Need assistance on Online classes, Exams & Assignments? Reach out for instant help!! Full Course Assistance, Plagiarism-free Essay Writing, Research Paper, Dissertation, Discussion Posts, etc…. Confidential & Secure services. Tutors are available for all subjects! Email now at: tutorjean01@gmail.com