General Mathematics Review

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.

For product C, Mr. Cruz determines that the function C(x) can be found by multiplying the number of customers by P120. Which of the following represents the function C?

• A. C(x) = x + 120

• B. C(x) = x - 120

• C. C(x) = 120x

• D. C(x) = ^120/x

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

• B. 670x - 285

• C. 670x + 215

• D. 650x + 285

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?

• A. P190.00

• B. P4,750.00

• C. P48,190.00

• D. P83,750.00

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?

• (5x/4)-4

• (5x+8)/(4x-2)

• (5x+8) – (4x-2)

• (4x-2) + (5x+8)

1.  Suppose the ratio, (4𝑥−2)/(5x+8)

is equal to ½. What is the value of x?

• 2

• 4

• 6

• 8

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?

• A. {x ∈ R ∣ x ≠ -2}

• B. {x ∈ R ∣ x ≠ -1/2}

• C. {x ∈ R ∣ x ≠ 1/2}

• D. {x ∈ R ∣ x ≠ 2}

What is the x- intercept of the graph of 𝑓(𝑥)=(2𝑥+1)/(𝑥−2)?

• 1/4

• -1/2

• 2

• 4

Which of the following is the y-intercept of the graph of the rational function

𝑓(𝑥)=(2𝑥+1)/(𝑥−2)?

• A. -1/2

• B.     -1

• C. 1/2

• B.     2

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.

• A. 1/3

• B. 3/5

• C. 5/7

• D. 7/9

Which of the following is a one-to-one function?

• A.    Student to LRN

• Teacher to students

• An even number to its factors

• Yes or No questions to answers