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
3𝑥 2 − 1
1.
2.
3.
4.
5.
Test II: Identify the kind of polynomial according to number of terms and degree
6. 3𝑥 + 1
7. 4𝑥 2 + 1𝑥 + 1
8. 6𝑥 3 − 4𝑥 2 + 3𝑥 + 1
9.𝑥 − 𝑥 2 + 𝑥 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
2
2
___11. Find the sum of the two polynomials (5𝑥 – 3) + (8𝑥 – 1)
A. 13𝑥2 – 4
B. 13𝑥2 + 2
C. −3𝑥 2 + 2
D. 3𝑥2 − 4
___12. What is the product of (−15𝑥)(4𝑦)
A. -11xy
B. 19xy
C. 11xy
D.-60xy
−24𝑥𝑦𝑧
___13. What is the quotient of ( 3𝑥 )
A. −8𝑥 2 𝑦𝑧
B. 8𝑥 2 𝑦𝑧
C. −8𝑦𝑧
D.8𝑦𝑧
___14. If the length of a rectangle in terms of 𝑥 𝑖𝑠 5𝑥2 + 3𝑥 + 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. 20𝑥 2 + 20𝑥 + 30
B. 10𝑥 4 + 20𝑥 + 30 C. 20𝑥 2 + 2𝑥 + 3
___15. Perform the given operation: 99𝑥 + (−99 ∙ 𝑥) use PEMDAS
A. 𝑥
B. 198𝑥
C. 𝑥 2
D. 0
___16. Perform the given operation: −11𝑥 − 4𝑥 − 𝑥2 ?
A. 14𝑥 2
B. 15𝑥 2 − 𝑥 2
C. −15𝑥 − 𝑥 2
D.10𝑥 2 + 20𝑥 + 3
D.−14𝑥 2
___17. What is the quotient of the expression 96𝑥𝑦 3 ÷ (−6𝑥𝑦) ?
A. −9𝑥𝑦 4
B. −6𝑦 2
C. 6𝑥𝑦 2
D. 6𝑦 2
___18. What is the difference of -14y-(3x-4y)
A. 10𝑦 + 3𝑥
B. 18𝑦 − 3𝑥
C. −18𝑦 − 3𝑥
D. −14𝑦 − 7𝑥𝑦
___19. Use foil method to get the answer, (−3𝑥 + 1)(2𝑥 − 1)
A. 6𝑥 2 + 𝑥 − 1
B. −6𝑥 2 + 5𝑥 + 1
C. −6𝑥 2 + 5𝑥 − 1
D.−𝑥
−26𝑥−(−13∙𝑥)
___20. find the quotient of
−3
A. 3𝑥
B. 𝑥
C. 0
D. −3𝑥
___21. Add and write the resulting polynomial in descending order of degree
(−3 + 3𝑛5 + 6𝑛3 ) + (7𝑛5 + 5𝑛3 − 3).
A. 15𝑛8
B. 10𝑛5 + 11𝑛3 − 6
C. 10 + 11𝑛5 − 6𝑛3
D. 4𝑛5 + 8𝑛3
___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
___23.2𝑥 3 − 3𝑥 + 6𝑦 − 13
4
xy.11
yz.-36
zq.-3
___24.−7𝑥 2 − (−6𝑦 − 13𝑥)
aa.-24
tg.-3
ww.21
___25.−3x − 3𝑥𝑦 + 6𝑦
___26.36𝑥𝑦 3 ÷ (−6𝑥𝑦)
−6𝑥−(−3∙𝑦)
___27 −3(𝑥𝑦)
___28. −14𝑦 − (3𝑥 − 4𝑦)
___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 𝑓(𝑥) = |4𝑥 2 − 8| + 2 , given x=2
A. 8
B. 9
C. 10
D. 1
2
___34. Evaluate: ℎ(𝑥) = 5𝑥 − 8𝑥 + 12, given x=5
A. 22
B. 145
C. 97
D. -3
2
___35. Find the value of the function 𝑓(𝑥) = √5𝑥 − 4 , if x = 4
A. √80
B.2√19
C. √16
D. 4
3
___36. Give the value of the function 𝑐(𝑥) = 5𝑥 − 18 𝑎𝑡 𝑐 = 3
A. 117
B. 27
C. 153
D. 63
2𝑥 2 −5
___37.Given 𝑄(𝑥) =
, determine Q(5)
3
A. -15
B. -5/3
C. 15
D. 5/3
___38. 𝑔(𝑥) = 2𝑥 − 4 𝑎𝑛𝑑 ℎ(𝑥) = 2𝑥 − 7 𝐹𝑖𝑛𝑑 (𝑔 + ℎ)(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.
𝑓𝑜𝑟 𝑖𝑡𝑒𝑚𝑠 𝑛𝑢𝑚𝑏𝑒𝑟 42 − 50 𝑟𝑒𝑓𝑒𝑟 𝑡𝑜 𝑡ℎ𝑒 𝑓𝑜𝑙𝑙𝑜𝑤𝑖𝑛𝑔 𝑓𝑢𝑛𝑐𝑡𝑖𝑜𝑛𝑠
𝒇(𝒙) = 𝒙 + 𝟓
𝒈(𝒙) = 𝟐𝒙 − 𝟏
Test IV: Determine the following functions
__42. (𝑓 + 𝑔)(𝑥)
__43. (𝑓 − 𝑔)(𝑥)
__44. (𝑓 ∙ 𝑔)(𝑥)
__45. (ℎ ÷ 𝑔)(𝑥)
__46. (𝑓 + 𝑔)(2)
__47. (𝑓 − 𝑔)(2)
__48. (𝑓 ∙ 𝑔)(2)
__49. (ℎ ÷ 𝑔)(2)
𝑓∙𝑔
__50.( ℎ )(2)
𝒉(𝒙) = 𝟐𝒙𝟐 + 𝟗𝒙 − 𝟓
Sdbc.7
tgv.4
Bvm.3x+4
Ceq.-x+6
Ylm.1
hgs.10
osm.x+5
iop.21
glx.2𝑥 2 + 9𝑥 − 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