1st Periodic Test-math10

MAGALLANES NATIONAL HIGH SCHOOL 1st Periodic Test (MATH 10) Name: _______________________________________________ I.

WHAT’S NEXT? Identify what kind of sequences and write the next term. 1. 2. 3. 4. 5.

II.

Yr. & Section: ________________

-54, -35, -16, 3, 22, _____ 5, 10, 20, 40, 80, 160, _____ 1,1,2,3,5,8,13,21,34, 55, ____ -4, 12, -36, 108, _____ 1/3, 1/9, 1/15, 1/21, 1/27, ___ Multiple Choice. Answer the letter of the correct answer.

1. Which term of the arithmetic sequence 4, 1, -2, -5, … is 29? a. 9th term b. 10th term c. 11th term d. 12th term 2. The first term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence. a. 7 b. 6 c. 5 d. 3 3. If three arithmetic means are inserted between 11 and 39, find the second arithmetic mean. a. 18 b. 25 c. 32 d. 46 4. What is the sum of all the odd integers between 8 and 26? a. 153 b. 151 c. 149 d. 148 6 4

5. Given an arithmetic sequence 1, , 2, a.

1 4

b.

1 2

10 , 4

3, … find the common difference.

c.

3 4

d.

3 2

6. The first term of an arithmetic sequence is 8 and the last term is 100. What is the second term? a. 31 b. 40 c. 53 d. 54 7. What is the 6th term of this geometric sequence? 4, -12, 36 a. 108 b. – 324 c. – 972 d. -108 8. Jose got 6 rabbits to raise on his farm. From the following month forward, the rabbit population doubled every month. Let g(n), be the number of rabbits in Jose’s farm in the nth month since he got the rabbits. What kind of sequence is it? a. Arithmetic b. Fibonacci c. Geometric d. Harmonic 9. From the sequence 2, 8, 32, … Find the sum of the first 8 terms. a. 640 b. 510 c. 250 d. 256 10. . There are 20 rows of seats in a concert hall with 20 seats in the first row, 21 seats in the second row, 22 seats in the third row, and so on. In total, how many seats are there in all? a. 83 b. 166 c. 375 d. 590 11. An infinite geometric sequence has a sum if a. r < 1 b. r > 1 c. -1 < r < 1 d. -1 > r > 1 12. Given the sequence: -64,- 16, -4, -1, … Find its sum. a. -256 b. 256/3 c. 256/5 d. -256/3 13. . If the geometric means are 27 & 9, what is the last term if the first term is 81? a. 243 b.3 c. 18 d. 15 Please refer to the illustration below on long division to answer item 14-15. Divide (25x2 – 50x + 25) by (5x-5) 5x – 5 5x – 5

25x2 – 50x + 25 25x2 – 25x

2nd line

- 25x + 25 - 25x + 25 0

14. What is the remainder? A. – 5 B. 0 C. 5 D. 25 15. Which is the divisor? A.0 B. 5x – 5 C.5x + 5 D. 25x2 – 50x + 25

16. What is the remainder when x3 – 5x2 + 2x – 3 is divided by x – 1? a. 5 b. -5 c. 4 d. -3 17. A student is trying to use synthetic division to solve (3x3 – 4x2 – x + 1) ÷ (x + 1). What value should go in the box next? -1 3

-4

-1 7

a. – 1 b. 1

1 -6

c. – 3 d. 3

3 27. 18 Andy divided x4 + 3x2 – 4x – 2 by x – 2 using synthetic division. Her work is shown below. Identify her mistake. A. Andy wrote the remainder incorrectly. B. Andy did not use a zero place holder for the x3 2 1 3 -4 -2 term. 2 10 12 C. Andy added instead of subtracting the rows. 1 5 6 10 D. Andy should have used – 2 as his division since 10 the divisor is x - 2 Q: x3 + 5x2 + 6x + 𝑥−2

19. The following are factors of x3 - 2x2 – 13x – 10 except a. x +1 b. x + 2 c. x + 3 d. x – 5 20. Which of the following can be a zero of x3 + 3x2 – 4x – 12? a. 1 b. -1 c. -3 d. 4 21. If f(3) = 0, which of the following statements about f(x) is true? b. x + 3 is a factor of f(x) c. – 3 is a root of f(x) = 0 c. 0 is the least value of f(x) d. 3 is a zero of f(x) 6 4 22. Find the zeros of f(x) = (x + 2) (x + 3) and state the multiplicity. a. – 2, multiplicity 6; 4, multiplicity – 3 c. – 2, multiplicity 6; - 3, multiplicity 4 b. 6, multiplicity – 2; - 3, multiplicity 4 d. 6, multiplicity – 2; 4, multiplicity – 3 23. Suppose that when a polynomial p(x) is divided by x – 5, the quotient is 3x4 – 5x2 + 2x – 5 with the remainder of 4. We may conclude that… a. x – 4 is a factor of p, and 4 is a zero of p. b. x + 5 is not a factor of p, and – 5 is not a zero of p. c. x – 5 is a factor of p, and 5 is a zero of p. d. x – 5 is not a factor of p, and 5 is not a zero of p. 24. A polynomial has degree 5. Which of the following is NOT a possible combination for its roots? a. 5 real roots c. 3 real roots and 2 complex roots b. 1 real root and 4 complex roots d. 2 real roots and 3 complex roots 25. Find a polynomial equation whose roots are – 2, - 1, and 1. a. x3 – 2x2 + x + 2 c. x3 + 2x2 – x - 2 b. x3 – 2x2 – x + 2 d. x3 + 2x2 + x + 2 III.

Problem Solving. Show your solutions.(5points)

1. The Lisagan Festival is one of the highlights in celebrating the town fiesta of Magallanes. This year’s celebration, the LGU planned to give the following prizes: 1st place-20,000, 2nd place15,000, 3rd place-11,250 and so on in a geometric sequence. What amount would the LGU should have to prepare if they are planning to give prizes until 5th place? 2. The dimensions of a rectangular metal box are 3 cm, 5 cm, and 8 cm. If the first two dimensions are increased by the same number of cm, while the third dimension remains the same, the new volume is 34 cm3 more than the original volume. What is the new dimension of the enlarged rectangular metal box?

“GOD BLESS!!!” Prepared by: CHARLOTTE S. LUSDOC/T-III

MAGALLANES NATIONAL HIGH SCHOOL SUMMATIVE TEST 1ST GRADING MATH 10 I.

Multiple Choice. Choose the correct answer. ( 2 pts. Each) 1. a. 2. a. 3. a. 4. a. 5. a.

II.

What is the next number in this sequence: 0, 2, 4, 6, ___ ? 4 b. 8 c. 10 d. 7 What is the common difference of the sequence on number 7? 1 b. 2 c. 3 d. 4 th What would be the 7 term of the sequence in number 7? 12 b. 10 c. 14 d. 8 Which of the following sequence has a common difference? 0, 3, 6, 10, 12 b. -4, -2, 0, 2, 4 c. 1, ½, ¼, … d. 3, 4, 6, 7,… What is the next term of the sequence: 5, 1, -3, -7, ___ -10 c. -9 c. -11 d. 11 Solve the following problems. Write your solutions.

1. The first term of a sequence is -5 and its common difference is 7. Find the 8th term. 2. If the 9th term of the sequence is 20 and its first term is -20, what is its common difference? 3. Insert 5 arithmetic means between -4 and -58. 4. Find the value of x if the arithmetic mean of 2x – 5 and 4-x is 3x + 1. 5. Find the sum of the first 25 terms of the sequence -2, -8, -14,… 6. What is the sum of the even integers from 30 to 90.

“GOD BLESS!!!” Prepared by: CHARLOTTE S. LUSDOC T-III

MAGALLANES NATIONAL HIGH SCHOOL SUMMATIVE TEST ST 1 GRADING - WEEK 3 MATH 10 Answer as required. Show your solutions. 1. Insert an arithmetic mean between 3 and 15. 2. Insert 2 arithmetic means between -5 and 25. 3. Find the sum of the sequence: 2, 5, 8, 11, 14, 17, 20 4. What is the sum of an arithmetic sequence if the first term is 4, the common difference is -3 and the last term is -26?