General Mathematics Reviewer, Study notes of Mathematics

Download General Mathematics Reviewer and more Study notes Mathematics in PDF only on Docsity! Gen Math Trim Exam Reviewer Choose the letter that corresponds to the correct answer. If your answer is NOT in the choices, write E. 1. Which of the following does not represent a function? A. {(2,3),(4,5),(6,7),(8,9)} B. C. x2 + y2 = 100 D. 2. Which of the following is the domain of the function 𝑦 = √𝑥 − 7? A. [0,+¥) B. [7,+¥) C. (-¥,7) U (7,+¥) D. [-7,+¥) For numbers 3 to 5, consider the graph of the function at the right. 3. Which of the following the domain and range of the function? A. Domain: (-¥,+¥); Range: (-¥,+¥) B. Domain: (-¥,+¥); Range: (-¥,5] C. Domain: (-¥,+¥); Range: [1,+¥) D. Domain: (-¥,+¥); Range: (-¥,1] 4. Which of the following is the relative maximum point/s of the function shown at the right? A. None B. +¥ C. (2,1) D. (0,5) 5. In which of the following intervals is the function increasing? A. (-¥,5) U (1,+¥) B. (-¥,5) U (2,+¥) C. (0,2) D. (-¥,0) U (2,+¥) For numbers 6 and 7, consider the function f(x) = x2 + x – 1 and g(x) = 2x - 3 6. Which of the following is equal to (g – f)(2)? A. -4 B. 4 C. 5 D. -5 7. Which of the following is equal to (f ∘ g)(x)? A. 4x2 – 10x + 8 B. 4x2 – 11x + 8 C. 2x2 + 2x – 5 D. 4x2 – 10x + 5 8. Which of the following is the vertex of the quadratic function y = -3x2 + 6x – 1? A. (1,2) B. (-1,-10) C. (2,1) D. (( ) , + ) ) 9. Which of the following is the graph of the function in number 8? A. B. C. D. 10. If 𝑔(𝑥) = / 2𝑥 − 4 𝑖𝑓 𝑥 < −3 𝑥6 − 3 𝑖𝑓 − 3 < 𝑥 < 3 −|𝑥| + 1 𝑖𝑓 𝑥 > 3 , what is g(5)? A. 6 B. 22 C. -4 D. -2 11. Which of the following is the graph of the piece-wise function (𝑥) = ; 2𝑥 − 3 𝑖𝑓 𝑥 < 0 𝑥6 − 1 𝑖𝑓 𝑥 ≥ 0 ? A. B. C. D. C. D. 26. What is the domain and range of the function in number 25? A. Domain: (-¥,+¥); Range: (-¥,+¥) B. Domain: (-¥,+¥); Range: (0,+¥) C. Domain: (-¥,+¥); Range: (3,+¥) D. Domain: (-¥,+¥); Range: (-3,+¥) 27. Simplify the expression as a single logarithm: 2log x + ( 6 log y – 3log z. A. log 6G√Q ER B. log G S√Q RT C. log G S RT√Q D. log G√Q ER 28. Determine the solution to the equation 22x + 1 = 32. A. {2} B. {4} C. {5/2} D. {7} 29. Find the value of x in log9 x = ½. A. 3 B. 9 C. 81 D. 243 30. Find the solution to log3 (2x – 1) = log3 (25). A. {12} B. {-10} C. {10} D. No solution 31. Transform log4 32 = +6 to exponential form. A. + 6 = 32) B. 4 = 32+/6 C. 32 = 4+/6 D. + 6 = 4E6 32. Find the solution to 16x - 1 < 4. A. (-¥,3/2) B. (3/2,+¥) C. (-¥,+¥) D. (-¥,-3/2) 33. Find the solution to ln (x – 5) ³ 2ln 5. A. (5,30) B. (5,+¥) C. (30,+¥) D. (-¥,30) 34. Find the solution to 5x – 2 = 2. A. VWX +Y VWX + B. VWX + VWX +Y C. log (10) D. − VWX +Y VWX + 35. Anna needs to pay P 105000, including the principal and interest, to settle a 5-year loan. If the loan has a simple interest rate of 5%, find the amount of the loan. A. P 84 000 B. P 420 000 C. P 131 250 D. P 26 250 36. A P 50,000 investment turned to P 60,000 after 4 years. What simple interest rate is applied in the investment? A. 4.17% B. 5% C. 20.83% D. 30% 37. How much should be paid to settle a P 50,000 loan at 12% compounded quarterly for 18 months? A. P 59 702.61 B. P 85 121.65 C. P 384 498.29 D. P 52 250 38. Approximate the time will it take for a P 100,000 investment to double if the interest rate is 14% compounded semi-annually? A. 5.12 years B. 2.65 years C. 10.24 years D. 5.30 years 39. Which of the following is a kind of interest in which only the original principal bears interest for the entire term of the loan? A. Simple interest B. Compound interest C. Annuity D. Amortization 40. Flora saves Php 500 every end of the month/period for 4 years from her allowance and deposits it in bank that pays interest at 12% converted monthly. How much will Flora’s savings be in 4 years? A. Php 30,611.30 B. Php 35,485.56 C. Php 30,917.42 D. Php 19,176.85 41. An item was purchased for Php 20,000 down payment and Php 2,500 payment every end of six months for 3½ years; interest is 7% compounded semi-annually. Find the cash equivalent of this item. A. Php 35,821.38 B. Php 40,129.22 C. Php 35,286.36 D. Php 39,448.52 42. Ron wants to buy a car worth Php 1,200,000. He can pay Php 200,000 as down payment and the remaining balance will be paid by instalment every end of the month for 5 years. How much is Ron’s monthly amortization if money is worth 15% compounded monthly? A. Php 28,547.92 B. Php 23,496.23 C. Php 28,195.47 D. Php 23,789.93 43. Which of the following is the correct truth table for the logical connector “or”? A. P Q P V Q T T T T F T F T T F F F B. P Q P V Q T T T T F F F T F F F F C. P Q P V Q T T T T F F F T T F F T D. P Q P V Q T T T T F F F T F F F T 44. Which of the following shows the correct truth table for P ® Q Ù P? A. P Q P ® Q P ® Q Ù P T T T T T F F T F T T T F F T T B. P Q P ® Q P ® Q Ù P T T T T T F F F F T T F F F T F C. P Q Q Ù P P ® Q Ù P T T T T T F F F F T F F F F F F D. P Q Q Ù P P ® Q Ù P T T T T T F F F F T F T F F F T 45. Which of the following is true for the compound proposition in number 44? A. It is a tautology B. It is a contradiction C. It is a contingency D. None of these