SUMMATIVE TEST 1
GENERAL MATHEMATICS
Name: __________________________________ Section: ________ Score: _________
A. Direction: Read analyze each item carefully. Choose the letter of the best answer and write
the letter on the space provided.
1) Given (𝑥) = 2𝑥 − 5 & (𝑥) = 3𝑥 + 4, what is (𝑔 ○ 𝑓)(𝑥).
A. 11 − 6𝑥 C. 6𝑥 − 11
B. 6𝑥2 − 7𝑥 − 20 D. 6𝑥2 − 23𝑥 – 20
2) What is (−2) if, = 3𝑥 + 7?
A. 1 B. -1 C. -13 D. 13
3) Which of the following denotes the composite function 𝑓 ○ ?
A. (𝑓 ○ 𝑔)(𝑥) = 𝑓(𝑔(𝑥)) C. (𝑓 ○ 𝑔)(𝑥) = 𝑓(𝑥)●𝑔(𝑥)
B. (𝑓 ○ 𝑔)(𝑥) = 𝑔(𝑓(𝑥)) D. (𝑓 ○ 𝑔)(𝑥) = 𝑔(𝑥)●𝑓(𝑥)
4) Which of the following defined as a set of ordered pairs (𝑥, 𝑦) such that no two ordered pairs have
the same x value but different y-values?
A. Relation B. Function C. Domain D. Range
5) What is the domain of the equation 𝑦 = 3𝑥2 − 4𝑥?
A. {𝒙: 𝒙 ∈ 𝑹, 𝒙 < −𝟏} C. {𝒙: 𝒙 ∈ 𝑹}
B. {𝒙: 𝒙 ∈ 𝑹, 𝒙 ≠ 𝟏} D. {𝒙: 𝒙 ∈ 𝑹, 𝒙 ≥ 𝟒}
6) Given f(𝑥) = 2𝑥 − 5 & 𝑔(𝑥) = 3𝑥 + 4, find (𝑓●𝑔)(𝑥).
A. 6𝑥2 + 23𝑥 − 20 C. 6𝑥2 − 20
B. 6𝑥 − 23𝑥 − 20
2 D. 6𝑥2 − 7𝑥 – 20
7) If (𝑥) = 𝑥 + 7 & (𝑥) = 2𝑥 − 3, what is (𝑓 − 𝑔)(𝑥)?
A. −𝑥 + 4 B. 10 − 𝑥 C. 𝑥 – 4 D. 10 + 3𝑥
8) When dividing two fractions or rational expressions, multiply the dividend with
what form of the divisor?.
A. Reciprocal B. Addend C. Abscissa D. Theorem
9) What is the set of all possible values that the variable x can take in a relation?
A. Domain B. Range C. Equation D. Function
10) Which of the following set of ordered pairs in NOT a function?
A. (1,2), (2,3), (3,4), (4,5) C. (1, 1), (2, 2), (3, 3), (4, 4)
B. (1,2), (1,3), (3,6), (4,8 D. (3, 2), (4, 2), (5, 2), (6, 2)
x 2 x 12
11. Which expression is equivalent to ?
x2 6x 9
x3 x3
A. B. C. 2𝑥2 − 5𝑥 – 3 D. 2𝑥2 + 7𝑥 + 21
x4 x4
x 2 x 12
12. What are the x and y-intercepts of the rational function (𝑥) =
x6
A. x-intercept: (4, 0) and (3, 0) C. x-intercept: (4, 0) and (-3, 0)
y-intercept: (0, -2) y-intercept: (0, 2)
B. x-intercept: (-4, 0) and (3, 0) D. x-intercept: (-4,0) and (3, 0)
y-intercept: (0, 1/6) y-intercept: (0, -2)
1
13. Which intervals correctly define the domain of (𝑥) = 2
x4
A. (−∞, 4) and (4, ∞) C. (−∞, −4) and (−4, ∞)
B. (−∞, −4) and (4, ∞) D. (−∞, −4) and (−2, ∞)
14. Which function has the fewest domain restrictions for real numbers?
1 1 1 1
A. (𝑥) = B. 𝑓(𝑥) = C. 𝑓(𝑥) = 2 D. 𝑓(𝑥) = 2
x 1 x 1 x 1 x 1
x5
15. What is the domain of the function (𝑥) = 2
?
x 2x 8
A. {𝑥 ∶ 𝑥 ≠ 0} C. {𝑥 ∶ 𝑥 ≠ −2, 4}
B. {𝑥 ∶ 𝑥 ≠ −5} D. {𝑥 ∶ 𝑥 ≠ 2, −4}
1
16. Which statement is true for the function (𝑥) = ?
x 4
A. 4 is not in the range of the function
B. 4 is not in the domain of the function.
C.-4 is not in the range of the function
D.-4 is not in the domain of the function
2x 2 15
17. Which if the following is not an asymptote of the rational function (𝑥) = ?
x 2 2x 15
A. y = 2 B. y=1 C. x=-3 D. x=5
x2
18. How many vertical asymptotes does the graph of this equation have y ?
x2 4
A. 0 vertical asymptotes C. 2 vertical asymptotes
B. 1 vertical asymptote D. 4 vertical asymptotes
x2 1
19. What is the horizontal asymptotes of the function: g ( x ) ?
x2
A. Horizontal asymptote: y = -1 C. Horizontal asymptote: y = 1/2
B. Horizontal asymptote: y = 2 D. There is no horizontal asymptote
20. What is the vertical asymptote of this graph?
A. x = 0
B. y = 0
C. x = 2.5
D. y = 2.536
B. Solve the following work problem. Write your answer on the space below.
1. Raniel can do a job in 4 days and her assistant, Racel can do the same job in 16 days. How
long will it take for Racel and Raniel to complete the job, if they work together?
Solution:
Rubric: 5 – Correct solution
3 – Some solutions are correct
1 – Incorrect solutions
0 – No answer
SUMMATIVE TEST 1
PRACTICAL RESEARCH 2
Name: __________________________________ Section: ________ Score: _________
C. Direction: Read analyze each item carefully. Choose the letter of the best answer and write
the letter on the space provided.
1. Which of the following statements is NOT a characteristic of quantitative research?
A. The results taken from a sample can be generalized to the population.
B. It delivers an in-depth understanding of the problem or study.
C. It provides a more credible and reliable result.
D. Statistical analysis of numerical data.
2. In an experiment, which group does not receive intervention?
A. The treatment group C. The control group
B. The participant group D. The experimental group
3. Which of the following research questions could be answered by using quantitative research
methods?
A. What is the most popular social media platform used by Senior High School students?
B. How has the Covid-19 pandemic affect career choices among college students?
C. What are the factors affecting depressive behavior?
D. None of the above.
4. Which statement below illustrates a weakness of quantitative research?
A. The responses of the participants are limited to what has been asked and the choices given.
B. The researcher's perspective can influence interpretation of results.
C. Data gathering takes too much time.
D. Low degree of subjectivity
5. Which of the following is NOT a strength of quantitative research?
A. Speedy data analysis C. Replicable
B. Less expensive D. Objective
For items 6 and 7, identify whether the given research topic is:
A. Correlational C. Descriptive
B. Quasi- experimental D. Experimental
6. Determination of the degree of satisfaction of parents, teachers, and students on the online and
modular blended learning.
7. The effects of non-renewal of the ABS-CBN franchise to the average television viewing time of
housewives.
8. Which of the following is NOT a characteristic of quantitative research?
A. Data are gathered before proposing a conclusion to a problem.
B. Quantitative methods may be repeated to verify findings in another setting, thus strengthen
and reinforce the validity of findings eliminating the chance of spurious conclusions.
C. Figures, tables, or graphs showcase summarized data collection to point out trends,
relationships, or differences among variables. In sum,
The charts and tables allow you to determine the evidence collected.
D. It seeks to collect a more comprehensive understanding of activities associated with human
behavior and the attributes that rule such behavior.
9. Which of the characteristic of quantitative research that refers to its necessity to come up to a more
reliable data analysis?
A. Large sample sizes C. Numerical Data
B. Replication D. Objective
10. Which of the following statements is NOT true about the importance of Quantitative Research?
A. helps educators identify ways to improve learning.
B. helps improve crop production using safe organic fertilizers.
C. helps pharmaceutical companies explore safe and effective medicines.
D. helps understand victims of domestic violence perception of satisfaction.
11. Research is a careful and systematic study and investigation in some field knowledge. Which of
the following statement involves the given definition of research?
A. Defining corrective measures and analysis of its background and references.
B. Finding out the workability of previous researches and their current relevance.
C. Verifying and refuting existing conditions and presenting their background effects.
D. Discovering new concepts, presenting data, facts, and information and analyzing
background effects.
12. Which of the following types of research seeks to examine the findings of a study by using the
same design but a different sample is and it also strengthen the foundations of past researches.
A. An exploratory study C. An empirical study
B. A replication study D. Hypothesis testing
13. A researcher designs an experiment to test how variables interact to influence job-seeking
behaviors. Which of the following is the main purpose of the study?
A. Description B. Prediction C. Exploration D. Explanation
14. The subsequent are aims of research, EXCEPT:
A. Generating new knowledge C. Finding application for old knowledge
B. Verifying existing knowledge D. Developing investigator
15. Which is the correct way of presenting Quantitative research findings?
A. Many like better to study with textbooks.
B. Students find textbooks indispensable or necessary
C. Perhaps, 30% consider textbook unnecessary in their studies
D. Out of 100 college students, 90 find textbooks beneficial to their Studies.
16. Which of the problem statements below are NOT TRUE about research?
A. Research is advantageous not only to students but also to their life
B. Research may be done even informally
C. Research requires no step-by-step procedure for as long as results are obtained
D. None of the above
17. Which of the following illustrates a quantitative study?
A. Attributes to malnutrition in children
B. Opinion of the public to the sex scandal of the pres. In our country
C. Academic performance of high school students
D. all of the above choices
18. Which of the statement weaknesses of quantitative research is not TRUE?
A. It employs a versatile research design due to the rigidity and robustness of instrumentation.
B. Participants have limited participation designing and structuring of the questionnaire
C. Research is done in a laboratory setting and not in the real world.
D. Numerical data do not have detailed accounts of the phenomenon and do not capture
accounts of human perception.
19. Which problem statement below is quantitative research?
A. A researcher surveys all students about their food preference for the new school canteen.
B. A researcher interviews the principal to find out the challenges, and triumphs in running a
rural school.
C. The researcher believes that the world is complex and that no single variable or number can
accurately describe it.
D. A researcher wanted to determine the challenges encountered by the teachers and students
in the new normal situation.
20. Which of the following statement below is NOT a strength of quantitative research?
a. Large sample size C. It’s empirical
B. It’s costly D. It’s logical
B. Choose one among the five characteristics of research and explain how you can apply it in writing
your own research. Express your answer in at least five sentences.
Systematic Feasible
Objective Empirical
Clear
SUMMATIVE TEST 1
ENTREPRENEURSHIP
Name: __________________________________ Section: ________ Score: _________
A. Direction: Read analyze each item carefully. Choose the letter of the best answer and write the
letter on the space provided.
1. This is an evaluation of your strengths and weaknesses.
A. Self-Assessment C. Entrepreneurs
B. Employee D. Entrepreneurship
2. Which of the following entrepreneurial job opportunity provides analytical services to companies
and help them coordinate projects efficiently and effectively?
A. Management Analyst C. Recruiter
B. Teacher D. Small entrepreneurial manager
3. Which entrepreneurial job opportunity is for an individual who can understand business concepts,
procedures and practices?
A. Research and Development C. Recruiter
B. Teacher D. Small entrepreneurial manager
4. Which of the entrepreneurial job opportunity pertains to managing the operation of business and
application of several entrepreneurial knowledge?
A. Research and Development C. Recruiter
B. Teacher D. Small entrepreneurial manager
5. Which of the following entrepreneurial traits refers to the ability to develop new ideas and to
discover new ways of looking at problems and opportunities?
A. Creativity B. Passion C. Patience D. Resilience
6. Entrepreneurs must remain proactive and vigilant, preventing small problems from becoming
major ones, refers to what entrepreneurial trait?
A. Creativity B. Agility C. Patience D. Resilience
7. This is the trait a successful entrepreneur possesses when he always sees hope for the future.
A. Creativity B. Agility C. Patience D. Optimism
8. Successful entrepreneurs have a risk tolerance and are willing to do things that involve danger in
order to achieve the goal. Which entrepreneurial trait is it?
A. Risk-taker B. Agility C. Patience D. Optimism
9. 4. Which of the following is NOT a function of an entrepreneur?
A. Skills management C. Conduct research
B. Risk taking D. Make no changes with his product
10.Which of the following is the meaning of entrepreneurship?
A. It is the process of designing, launching, and running a new business, which is often initially
a small business.
B. A person who sets up a business or businesses, taking on financial risks in the hope of
profit.
C. One who organizes and manages any enterprise, especially one involving considerable risk.
D. Someone who undertakes a significant project or activity finding new or better ways of doing
things; they are opportunity-aware, take risks and utilize a range of behaviors, such as initiative and
innovation, that create value and contribute to their success.
11. Which of the following does not define entrepreneurship?
A. Art B. Science C. Wealth Creating D. Risk Taking
12. Which of the following first benefit from entrepreneurship?
A. Filipino entrepreneurs C. Philippine economy
B. Local community D. All of the above
13. Which of the following is not true about the benefit of entrepreneurship to the local community?
a. It provides employment. c. It promotes peaceful community.
b. It creates new demand in the market. d. It hastens economic failure.
14. How does an entrepreneur create value for his/her products or services?
A. By increasing the price of the product or service.
B. By giving products and service for free to those who are in need.
C. By satisfying the needs and wants of the customers.
D. By focusing on product packaging.
15. Which is NOT an advantage of learning intrapreneurship?
A. It cultivates creativity.
B. It increases the risk in starting a business.
C. It boosts young entrepreneurs in starting their own business venture.
D. It helps acquire core business concepts.
B. Identify the what characteristics of shown in each situation.
11.Henry Sy, Sr. came to the Philippines at the young age of 12 and worked in his father’s small sari-
sari store more than 12 hours every day to help him. There, he devised ways to increase his income
by developing small portions of products – much like the sachets we see today in the supermarkets.
________________________________________
12.In 2013, Netflix progressed exceptionally well under the leadership of CEO Reed Hastings, who co-
founded the company as a mail order movie rental business in 1998. Over the years, Netflix has, of
course, evolved into an indemand internet streaming company.
________________________________________
13.Founders of Procter and Gamble, William Procter and James Gamble used to compete with raw
materials: animal oil and fat. Procter is a candle maker while his brother-in-law, Gamble was a soap
maker. They were advised by their father-in-law to merge their businesses. They followed his advice
and that was how one of the largest and most successful company was born.
________________________________________
14.Two years after Tony Caktiong started his ice cream parlor franchise, he decided to serve
hamburgers, fried chicken, and spaghetti as people began to tell him that they don’t want to eat ice
cream all the time.
________________________________________
15.Starbucks is a master of employing value-based pricing to maximize profits, and they use research
and customer analysis to formulate targeted price increases that capture the greatest amount
consumers are willing to pay without driving them off.
________________________________________
C. Essay. Answer the given question below. (5 points)
If you will become an entrepreneur someday, what characteristic should you prioritize and why?
__________________________________________________________________________________________________
__________________________________________________________________________________________________
__________________________________________________________________________________________________
__________________________________________________________________________________________________
Scoring Rubric
Indicator Moderate Strong Strong Evidence (3-4 Very Strong Evidence (5
Evidence (1 - 2 points) points) points)
Quality of Learners did some of the Some details may not be Most details are correctly
Work/ information, but it has reflected accurately. It reflected. It includes all
Understanding missing significant may be missing and necessary information that
details. hard to understand. is easy to understand
d
Genmath
ANSWER KEY
PRETEST
1) C 6) D 11) A
2) A 7) B 12) C
3) A 8) A 13) B
4) B 9) A 14) C
5) C 10) B 15) A
