Republic of the Philippines Department of Education Region 4A CALABARZON SCHOOLS DIVISION OF CALAMBA CITY CALAMBA BAYSIDE INTEGRATED SCHOOL Palingon, Calamba City 1st PERIODICAL EXAMINATION in GENERAL MATHEMATICS S.Y. 2022-2023 Direction: Choose the best answer among the options. Write the letter on your paper. Test I: Label the corresponding parts of the given expression 1-5 3๐ฅ 2 − 1 1. 2. 3. 4. 5. Test II: Identify the kind of polynomial according to number of terms and degree 6. 3๐ฅ + 1 7. 4๐ฅ 2 + 1๐ฅ + 1 8. 6๐ฅ 3 − 4๐ฅ 2 + 3๐ฅ + 1 9.๐ฅ − ๐ฅ 2 + ๐ฅ 3 Test III. Write your answer on the blank provided before the number. ___10. Subtract 2ab from −2ab. A. 4ab B. ab C. 2ab D.-4ab ___11. Find the sum of the two polynomials (5๐ฅ2 – 3) + (8๐ฅ2 – 1) A. 13๐ฅ2 – 4 B. 13๐ฅ2 + 2 C. −3๐ฅ 2 + 2 D. 3๐ฅ2 − 4 ___12. What is the product of (−15๐ฅ)(4๐ฆ) A. -11xy B. 19xy C. 11xy D.-60xy −24๐ฅ๐ฆ๐ง ___13. What is the quotient of ( 3๐ฅ ) A. −8๐ฅ 2 ๐ฆ๐ง B. 8๐ฅ 2 ๐ฆ๐ง C. −8๐ฆ๐ง D.8๐ฆ๐ง ___14. If the length of a rectangle in terms of ๐ฅ ๐๐ 5๐ฅ2 + 3๐ฅ + 6, and its width is 7x + 9, what is the perimeter of this rectangle? ( note: the formula to solve the perimeter of rectangle is 2 length x 2 width) A. 20๐ฅ 2 + 20๐ฅ + 30 B. 10๐ฅ 4 + 20๐ฅ + 30 C. 20๐ฅ 2 + 2๐ฅ + 3 ___15. Perform the given operation: 99๐ฅ + (−99 โ ๐ฅ) use PEMDAS A. ๐ฅ B. 198๐ฅ C. ๐ฅ 2 D. 0 ___16. Perform the given operation: −11๐ฅ − 4๐ฅ − ๐ฅ2 ? A. 14๐ฅ 2 B. 15๐ฅ 2 − ๐ฅ 2 C. −15๐ฅ − ๐ฅ 2 D.10๐ฅ 2 + 20๐ฅ + 3 D.−14๐ฅ 2 ___17. What is the quotient of the expression 96๐ฅ๐ฆ 3 ÷ (−6๐ฅ๐ฆ) ? A. −9๐ฅ๐ฆ 4 B. −6๐ฆ 2 C. 6๐ฅ๐ฆ 2 D. 6๐ฆ 2 ___18. What is the difference of -14y-(3x-4y) A. 10๐ฆ + 3๐ฅ B. 18๐ฆ − 3๐ฅ C. −18๐ฆ − 3๐ฅ D. −14๐ฆ − 7๐ฅ๐ฆ ___19. Use foil method to get the answer, (−3๐ฅ + 1)(2๐ฅ − 1) A. 6๐ฅ 2 + ๐ฅ − 1 B. −6๐ฅ 2 + 5๐ฅ + 1 C. −6๐ฅ 2 + 5๐ฅ − 1 D.−๐ฅ −26๐ฅ−(−13โ๐ฅ) ___20. find the quotient of −3 A. 3๐ฅ B. ๐ฅ C. 0 D. −3๐ฅ ___21. Add and write the resulting polynomial in descending order of degree (−3 + 3๐5 + 6๐3 ) + (7๐5 + 5๐3 − 3). A. 15๐8 B. 10๐5 + 11๐3 − 6 C. 10 + 11๐5 − 6๐3 D. 4๐5 + 8๐3 ___22. A company produces three sizes of a dog house, small, medium, and large. The small dog house sells for $80, the medium size for $110, and the large for $140. The small dog houses cost $50 each to make, medium $70 each, and large $79 each. Let s represent the number of small size dog houses, m represent the number of medium size dog houses and L represent represent the number of large size dog houses. Write an expression in simplest form for the net profit A. 30s + 40m + 61L B. -28s - 43m - 76L C. 28s + 43m + 76L D. -30s - 40m - 61L for items 23-28, evaluate the polynomial if the value of x=3 and y=-2, write the letter of your answer on the blank before the number ___23.2๐ฅ 3 − 3๐ฅ + 6๐ฆ − 13 4 xy.11 yz.-36 zq.-3 ___24.−7๐ฅ 2 − (−6๐ฆ − 13๐ฅ) aa.-24 tg.-3 ww.21 ___25.−3x − 3๐ฅ๐ฆ + 6๐ฆ ___26.36๐ฅ๐ฆ 3 ÷ (−6๐ฅ๐ฆ) −6๐ฅ−(−3โ๐ฆ) ___27 −3(๐ฅ๐ฆ) ___28. −14๐ฆ − (3๐ฅ − 4๐ฆ) ___29. What do you call a relation where each element in the domain is related to only one value in the range by some rules? A. function B. range C. domain D. independent ___30. In a relation, what do you call the y values or the output? A. function B. range C. domain D. independent ___31. Which of the following relations is/are function/s? A. the rule which assigns to each person the name of his brother B. the rule which assigns the name of teachers you have C. the rule which assigns a pen and the color of its ink D. the rule which assigns each person a surname ___32. Find the function value given h(x)=3x-8, if x=9a+1 A. 27a+5 B. 27a-5 C. 18a+11 D. 18a-11 ___33. Which of the following is the value of the function ๐(๐ฅ) = |4๐ฅ 2 − 8| + 2 , given x=2 A. 8 B. 9 C. 10 D. 1 2 ___34. Evaluate: โ(๐ฅ) = 5๐ฅ − 8๐ฅ + 12, given x=5 A. 22 B. 145 C. 97 D. -3 2 ___35. Find the value of the function ๐(๐ฅ) = √5๐ฅ − 4 , if x = 4 A. √80 B.2√19 C. √16 D. 4 ___36. Give the value of the function ๐(๐ฅ) = 5๐ฅ 3 − 18 ๐๐ก ๐ = 3 A. 117 B. 27 C. 153 D. 63 2๐ฅ 2 −5 ___37.Given ๐(๐ฅ) = , determine Q(5) 3 A. -15 B. -5/3 C. 15 D. 5/3 ___38. ๐(๐ฅ) = 2๐ฅ − 4 ๐๐๐ โ(๐ฅ) = 2๐ฅ − 7 ๐น๐๐๐ (๐ + โ)(3). A. -7 B. 1 C. -1 D. 8 ___39. In a relation, what do you call the set of x values or the input? A. piecewise B. range C. domain D. dependent ___40. Which of the following real-life relationships represent a function? A. The rule which assigns to each person the name of his aunt. B. The rule which assigns to each person the name of his father. C. The rule which assigns to each cellular phone unit to its phone number. D. The rule which assigns to each person a name of his pet.. ___41. Which of the following relations is NOT a function? A. The rule which assigns a capital city to each province. B. The rule which assigns a President to each country. C. The rule which assigns religion to each person. D. The rule which assigns tourist spot to each province. ๐๐๐ ๐๐ก๐๐๐ ๐๐ข๐๐๐๐ 42 − 50 ๐๐๐๐๐ ๐ก๐ ๐กโ๐ ๐๐๐๐๐๐ค๐๐๐ ๐๐ข๐๐๐ก๐๐๐๐ ๐(๐) = ๐ + ๐ ๐(๐) = ๐๐ − ๐ Test IV: Determine the following functions __42. (๐ + ๐)(๐ฅ) __43. (๐ − ๐)(๐ฅ) __44. (๐ โ ๐)(๐ฅ) __45. (โ ÷ ๐)(๐ฅ) __46. (๐ + ๐)(2) __47. (๐ − ๐)(2) __48. (๐ โ ๐)(2) __49. (โ ÷ ๐)(2) ๐โ๐ __50.( โ )(2) ๐(๐) = ๐๐๐ + ๐๐ − ๐ Sdbc.7 tgv.4 Bvm.3x+4 Ceq.-x+6 Ylm.1 hgs.10 osm.x+5 iop.21 glx.2๐ฅ 2 + 9๐ฅ − 5 Prepared by: Alvin C. Jimenez Special Science Teacher I Answer key 1. algebraic expression 2. coefficient 3. variable 4.constant 5. exponent 6. binomial, 1st degree, linear 7. trinomial, 2nd degree, quadratic 8. polynomial, 3rd degree, cubic 9. trinomial, 3rd degree, quadrinomial 10. D 11. A 12. D 13. C 14. D 15. D 16. C 17. B 18. C 19. C 20. D 21. B 22.A 23. WW 24. YZ 25. TG 26. QQ 27. ZQ 28. XY 29. A 30. B 31. D 32. B 33. C 34. C 35. B 36. A 37. C 38. B 39. C 40. B 41. D 42. BVM 43. CEQ 44. GLX 45. OSM 46. HGS 47. TGV 48. IOP 49. SDBC 50 YLM Checked by: Randy M. David Master Teacher II Noted by: Randy M. David Academic Subject Head-ABM