# REGIONAL DIAGNOSTIC TEST - GENERAL MATHEMATICS

## Quizย by MARK JERALD MENDOZA

Feel free to use or edit a copy

includes Teacher and Student dashboards

### Measure skillsfrom any curriculum

Tag the questions with any skills you have. Your dashboard will track each student's mastery of each skill.

- edit the questions
- save a copy for later
- start a class game
- automatically assign follow-up activities based on studentsโ scores
- assign as homework
- share a link with colleagues
- print as a bubble sheet

- Q1
**Functions offer an interesting way to understand relationships between quantities. 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.****Which of the following would be an example of a function?****Number of items bought and their total price****Number of customers and gross sales****Time of the day and number of customers****Relationship of an item to its price.**60s - Q2
**If y=f(x), which of the following CANNOT be true?****two values of y can correspond to only one value x****x is a function of y.****if x changes, then y must also change in value****two values of x can result to one value y**60s - Q3
**Mr. Cruz bought a box of product D with a total cost of x pesos. If there are 13 pieces of product D inside the box, which would give the function for the price of each piece?****x/13****13x****x+13****x-13**60s - Q4
**If in a certain day, Mr. Cruz was able to sell 20 pieces of product A, what was the sales for product A that day?ย****9150****8650****8100****8150**60s - Q5
**Suppose you are working for Mr Cruz and a customer wants to buy 5 pieces of product B. How would you determine the total price of the purchase?****Add 5 to 35 and multiply the sum to 250****Multiply 5 by 35 then add 250 to the total****Multiply 5 by 250 then add 35 to the total****Add 250 to 35 then multiply the sum to 5.**60s - Q6
**Mr. Cruz told you that the price of product D is the composition of the functions A(x) and B(x) wherein the function A is applied to the results of the function of B. How would this be expressed mathematically?****A + B(x)****[A(B)](x)****A[B(x)]****B[A(x)]**60s - Q7
**What is the value of (๐ต โ ๐ด)(2)?****C. 147535****101225****224450****85450**60s - Q8
**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?****C(x)= 120x****C(x) =x-120****C(x)=120/x****C(x)=x+120**60s - Q9
**How much will be the total sales from product A and B in a certain period of time?****670x-215****670x-285****670x+215****650x+285**60s - Q10
**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?****P 48, 190****P 190****P 4,750****P 83, 750**60s - Q11
**RATIONAL FUNCTIONS.****We can simply say that a rational function can be defined by a rational fraction wherein both numerator and denominator are polynomial functions. As an artist, 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+8) โ (4x-2)****ย 5๐ฅ+8****4๐ฅโ2****ย 5 ๐ฅ โ 4****4****(5x+8) โ (4x-2)**60s - Q12
**Suppose the ratio . 4๐ฅโ2 is equal to ยฝ. What is x?**ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย

**5๐ฅ+8**8

4

6

2

60s - Q13
**In one of her exhibits, the ratio of the sides of the canvas is given by ๐(๐ฅ) = 2๐ฅ+1. What is the domain of the rationalย****๐ฅโ2ย****function?****{๐ฅ โ R โฃ ๐ฅ โ -2}****{๐ฅ โ R โฃ ๐ฅ โ -1}****ย ย ย ย ย ย ย ย ย ย ย ย ย ย 2****{๐ฅ โ R โฃ ๐ฅ****{๐ฅ โ R โฃ ๐ฅย**60s - Q14
**What is the x- intercept of the graph of ๐(๐ฅ) = 2๐ฅ+1?**ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย

**๐ฅโ2**2

**1/4**4

**1/2**60s - Q15
**Which of the following is the y-intercept of the graph of the rational function ๐(๐ฅ) = 2๐ฅ+1?**ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย

**๐ฅโ2****2****1/2****-1****- 1/2**60s