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Math 10 Q2 WT1

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Republic of the Philippines

Department of Education
REGION VI – WESTERN VISAYAS
SCHOOLS DIVISION OF SILAY CITY

QUARTER 2 - WEEKS 1 & 2


SY 2021-2022

MATHEMATICS 10
WRITTEN TEST NO. 1

MULTIPLE CHOICE (25 POINTS)


Read and analyze each item carefully. Write ONLY the letter of your chosen answer on a separate
sheet of pad paper.

1. Which of the following is an example of polynomial function?


4 1
3 2
A. f ( x )= 3
+3 x−1 B. f ( x )=2 x 2 − x C. f ( x )= √ 7 x−2 x 2
x 2

2. Which of the following is NOT a polynomial function?


3 2
A. f ( x )=4 x−3 +3 x−1 B. f ( x )=2 x− x
2
C. f ( x )=2 x 2 + √7 x

3. What is the leading coefficient of the polynomial function f ( x )=4 x +2 x 3 +1 ?


A. 2 B. 3 C. 4

4. Using the polynomial function in item number 3, what is the constant term?
A. 1 B. 2 C. 4

5. What type of polynomial function is given by P( x )=2 x3 + x 4 + x ?


A. quadratic B. cubic C. quartic

6. Which of the following gives a constant term of 4?


2
A. y=(x +4)( x +1)(x−1) B. y=x (x + 4)( x−1) C. y=(x +4)(x −1)

7. Using the leading term test, what are the end behaviors of the graph of the polynomial function
f ( x )=2 x 2+ 7 x3 +3 x−5 ?

A. rises to the left, falls to the right C. falls in both directions


B. falls to the left, rises to the right

8. How many roots does a polynomial function have when its graph is shown below?

A. 3 B. 4 C. 5
For numbers 9-12, refer to the graph of the polynomial function P(x) below:

9. Which of the following equation represents the given graph of polynomial function?
2 2 2 2 2
A. P ( x ) =−x ( x −4) B. P ( x ) =x (x −4) C. P ( x ) =x ( x −4)

10. How many turning points does the graph have?


A. 2 B. 3 C. 4

11. The leading coefficient and degree of the polynomial function from which the graph was derived is
_________.
A. positive and odd B. positive and even C. negative and even

12. A zero of even multiplicity of the polynomial function is ___________.


A. x=0 B. x=−2 C. x=2

3 5
13. How should the polynomial function f ( x )=2 x + x +3 x +4 be written in standard form?
3 5 5 3
A. f ( x )=x +2 x+3 x +4 C. f ( x )=3 x + x + 2 x +4
B. f ( x )=3 x 5 + x 3+ 4+ 2 x

14. What is the factored form of the polynomial function f ( x )=x 3−2 x 2−3 x ?
A. f ( x )=x (x +1)(x−3) B. f ( x )=x ( x−1)(x +3) C. f ( x )=x ( x−1)( x−3)

15. If you will draw the graph of y=x ¿, how will you sketch it with respect to the x−axis ?

A. sketch it crossing both (-2,0) and (0,0) C. sketch it tangent at both (-2,0) and
(0,0)
B. sketch it tangent at (-2,0) and crossing at (0,0)

16. Your classmate Donny encounters difficulties in showing a sketch of the graph of
3 2
y=2 x +3 x −4 x−6. You know that the quickest technique is the Leading Coefficient Test.
You want to help Donny in his problem. What hint/clue should you give?
A. the graph falls to the left and rises to the right
B. the graph rises to both left and right
C. the graph rises to the left and falls to the right

17. A car manufacturer determines that its profit (P) in thousands of pesos, can be modeled by the function
4
P ( x ) =0.00125 x + x−3, where x represents the number of cars sold. What is the profit when
x = 300?
A. Php10,125,297.00 B. Php10,152,297.00 C. Php10,125,279.00

18. A demographer predicts that the population ( P), of a town t years from now can be modeled by the
4 3
function P ( t ) =6 t −5 t + 200t +12000. What should be done to get the total population of the town in 2
years’ time?
A. multiply all the terms by 2, then subtract the numbers until you arrive at the final answer
B. substitute all the terms by 2, then add the numbers until you arrive at the final answer
C. substitute 2 for all the t variables, then perform the operations until you arrive at the final
answer

19. The area of the rectangle is given by the function A( x )=(x ¿ ¿ 3−12 x +11 x +168)¿ cm .
2 2

If the width is represented by w ( x )=x −7 ,then how can the length be obtained?
A. Divide the area by the width C. Multiply the area and the width
B. Subtract the width from the area

20. The number of tablets sold by a shop can be represented by N ( t ) =7 t+25 and the price
per tablet is P ( t ) =3 t +3 t+36 , where t is the number of months in a year. If we use this
2

representation, what is the FIRST step to determine the total amount of revenue generated by the
shop at the end of the year?

A. Multiply the number of tablets by the price per tablet


B. Subtract the number of tablets to the price per tablet
C. Add the number of tablets and the price per tablet

21. If you travel a distance of D ( x ) =(x ¿ ¿ 3+ 4 x 2−27 x−110)km ¿ at a rate of ( x +5 ¿ kph, then what should
be done to determine the polynomial which represents the number of hours you traveled?
Note: Distance travelled is equal to the product of rate and time.
A. Subtract the rate from the given distance C. Add the distance and the rate
B. Divide the given distance by the rate

22. The area of a rectangular lot is given by A ( x )=( x ¿ ¿ 3−2 x −6 x +12)m .¿ If its length is
2 2

( x−2 ¿ m, then its width is ( x ¿¿ 2−6) m. ¿ This statement is _________.


A. True B. False C. Erroneous

23. The number of shirts sold by the shopkeeper is given by 3 x−5. The price per shirt is 2 x+1.
What is the correct way to determine the polynomial function which represents the total amount of
revenue earned by the shopkeeper in selling the shirts?

A. Multiply the number of shirts sold (3 x−5) by the price per shirt (2 x+1)
B. Subtract the number of shirts sold (3 x−5) to the price per shirt (2 x+1)
C. Add the number of shirts sold (3 x−5) and the price per shirt (2 x+1)

3 5 2
24. Greg was asked to rewrite the given polynomial function f ( x )=2 x +3 x +3 x −4 x −22 in standard form.
His answer is shown below.
Given: Standard Form
3 5 2 5 3 2
f ( x )=2 x +3 x +3 x −4 x −22 f ( x )=3 x +3 x −4 x +2 x−22

Did Greg write the polynomial function in standard form correctly?


A. No, some part of his solution is incorrect.
B. Yes, the terms are complete, signs are correct, and the degree of x is in ascending order.
C. Yes, the terms are complete, signs are correct, and the degree of x is in descending order.

25. A rectangular solar shipping container has a volume of 84 m3 . The client tells the manufacturer that
the length of the rectangular solar shipping container must be one meter longer than the width, and the
height must be one meter greater than twice its width. What would be its dimensions?

A. 3m x 4m x 7m B. 3m x 5m x 8m C. 3m x 6m x 9m

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