General Mathematics Regional MID-YEAR Assessment
Quiz by Daisy Beltran
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- Q1
Directions: Read each item carefully. Choose the letter of the best answer and write it on your answer sheet.
As a businessman, Mr. Cruz uses functions to predict the income of his store located in BalangaCity. He used previous data to make models that could describe the relationship between number ofcustomer (x) and the sales for each of his products. For product A, the income is represented by A(x) =420x-250, while the income for product B is given by B(x) = 250x + 35.
For product C, Mr. Cruz determines that the function C(x) can be found by multiplying the numberof customers byP120. Which of the following represents the function C?
B. C(x) = x - 120
C. C(x) = 120x
A. C(x) = x + 120
D. C(x) = 120𝑥/x
30sM11GM-Ia-1 - Q2
As a businessman, Mr. Cruz uses functions to predict the income of his store located in Balanga City. He used previous data to make models that could describe the relationship between number of customer (x) and the sales for each of his products. For product A, the income is represented by A(x) =420x-250, while the income for product B is given by B(x) = 250x + 35.
How much will be the total sales from product A and B in a certain period of time?
A. 670x - 215
D. 650x + 285
C. 670x + 215
B. 670x - 285
30sM11GM-Ia-3 - Q3
As a businessman, Mr. Cruz uses functions to predict the income of his store located in Balanga City. He used previous data to make models that could describe the relationship between number of customer (x) and the sales for each of his products. For product A, the income is represented by A(x) =420x-250, while the income for product B is given by B(x) = 250x + 35.
During the celebration of the Philippine Independence Day on June 12, 2021, the store had a record high in terms of both number of customers and sales. If on that day, the store received 200 customers, what was the total sales for Product A?
C. P48,190.00
B. P4,750.00
A. P190.00
D. P83,750.00
30sM11GM-Ia-4 - Q4
Ms. Dilao takes interest on the ratio of the sides of a rectangular canvas. She believes that this ratio could highlight the beauty of a painting. In one of her collections, she used different rectangular canvas following the function L(x) = 5x + 8 for the length and W(x) = 4x - 2.
Which represents the ratio of the length to the width of the rectangular canvas?
B. 5x+84x-2
A. 54x-4
B. (5x+8) – (4x-2)
C. (4x-2) + (5x+8)
30sM11GM-Ib-1 - Q5
Ms. Dilao takes interest on the ratio of the sides of a rectangular canvas. She believes that this ratio could highlight the beauty of a painting. In one of her collections, she used different rectangular canvas following the function L(x) = 5x + 8 for the length and W(x) = 4x - 2.
Suppose the ratio, 4𝑥-2/5𝑥+8 is equal to ½. What is the value of x?
A. 2
C. 6
D. 8
B. 4
30sM11GM-Ib-3 - Q6
Ms. Dilao takes interest on the ratio of the sides of a rectangular canvas. She believes that thisratio could highlight the beauty of a painting. In one of her collections, she used different rectangularcanvas following the function L(x) = 5x + 8 for the length and W(x) = 4x - 2.
In one of her exhibits, the ratio of the sides of the canvas is given by f(x) =2𝑥+1/x-2.
What is the domain of the rational function?
B. {x ∈ R ∣ x ≠ 12}
D. {x ∈ R ∣ x ≠ -12}
A. {x ∈ R ∣ x ≠ -2}
C. {x ∈ R ∣ x ≠ 2}
30sM11GM-Ib-4 - Q7
What is the x- intercept of the graph of f(x)=2𝑥+1/x-2?
B. -1/2
D. 1/4
A. 2
C. 4
30sM11GM-Ib-5 - Q8
Which of the following is the y-intercept of the graph of the rational function f(x) = 2𝑥+1/x-2?
D. 4
C. 2
B. -1/2
A. 1/4
30sM11GM-Ic-1 - Q9
The denominator of a fraction is 2 more than the numerator. If 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. Find the original fraction.
B. 3/5
C. 5/7
D. 7/9
A. 1/3
30sM11GM-Ic-3 - Q10
Which of the following is a one-to-one function?
B. Teacher to students
A. Student to LRN
C. An even number to its factors
D. Yes or No questions to answers
30sM11GM-Id-1 - Q11
Which of the following functions is the inverse of f(x)=3x-2?
C. (f-1) x= 2x-3x
D. (f-1) x= 2x+3x
B. (f-1) x= x2x+3
A. (f-1) x= x2x-3
30sM11GM-Id-3 - Q12
Marvin knows that to convert Celsius to Fahrenheit, he needs to multiply the given C by 9, dividethe answer by 5 and then add 32. One time her mother called Marvin and told her that the temperatureof his younger brother is 105.8 degrees Fahrenheit. Knowing only the formula to convert C to F andthat the normal body temperature is 37 degrees Celsius and below, should Marvin be worried about hisbrother?
C. Yes. His brother is nowhere to be found.
B. Yes. His brother has a high fever.
A. No. The brother has no fever at all.
D. No. There is someone to take care of the younger child.
30sM11GM-Ie-2 - Q13
The COVID-19 pandemic has changed many aspects of human life. To show how fast the virusspreads, Teacher Thelma makes a simple illustration, starting from 1 person infecting 2 others whichin turn infect four more. She then explains how this rate can be explained using an exponentialfunction. Which of the following illustrates the number of new cases?
D. 1, 2, 4,16, 64,…
B. 1, 2, 4, 8, 16, 32, …
C. 1, 2, 4, 64, 256,…
A. 1, 2, 4, 6, 8, 10, 12,…
30sM11GM-Ie-3 - Q14
Suppose 52x+1 > 125, what is x?
A. x = 1
B. x < 1
D. x ≥ 1
C. x > 1
30sM11GM-Ie-4 - Q15
What is the asymptote of the graph of f(x)= 3x+1?
C. y = 0
C. y = 3
B. y =1/3
A. y = -1
30sM11GM-Ie-4