Republic of the Philippines

Department of Education
REGION XI
SCHOOLS DIVISION OF DAVAO DEL NORTE
Division Unified Test
SECOND QUARTERLY EXAMINATION IN MATHEMATICS 7
School Year 2023-2024
Name: ________________________________________________________________Year and Section: _________________________
School: _______________________________________________________________Date: _________________Score: ______________
Directions: Read and analyze each item carefully. Select and shade the number that
corresponds to your answer. You have one hour to answer the test. GOD BLESS!
1. What is the metric unit used for determining length?
Ⓐ meter Ⓑ pace Ⓒ gram Ⓓ liter

2. Which is the best estimate of temperature of a cold glass of fruit juice in degree Celsius?

Ⓐ 0° Ⓑ 10° Ⓒ 32° Ⓓ 100°

3. What is the estimated temperature of a feverish child?

Ⓐ 40K Ⓑ 40°F Ⓒ 38°C Ⓓ 35°C

4. If your forearm length is 40 cm and you are about to measure a plywood to be used as the wall of
your classroom, how long is the plywood if you measured 6 forearm length?
Ⓐ 46 centimeters Ⓑ 92 centimeters Ⓒ 200 centimeters Ⓓ 240 centimeters

5. How many millimeters are in 20 centimeters?

Ⓐ 0.02 mm Ⓑ 0.2 mm Ⓒ 200 mm Ⓓ 20,000 mm

6. How many months are there in 10 decades?

Ⓐ 120 Ⓑ 1200 Ⓒ 10000 Ⓓ 12000

7. A student with a flu has a temperature of 102 ℉ . What is her temperature on the Celsius scale?
Ⓐ 38.6° Ⓑ 33.9° Ⓒ 36.8° Ⓓ 38.9°

8. Marites plans to join a beauty pageant where the height qualification is 5 feet and 6 inches. If she
stands 170 cm, is she qualified to join the pageant?
Ⓐ Yes. She stands exactly 5 feet and 6 inches.
Ⓑ Yes. She stands more than the height requirement.
Ⓒ No. She stands less than the 5 feet and 6 inches.
Ⓓ No. She stands not less than the height requirement

9. Translate “thrice a number added to 4” into mathematical expression.

Ⓐ 3x - 4 Ⓑ 4+3 Ⓒ 3x + 4 Ⓓ 3 – 4x
( 𝑎𝑎+𝑏𝑏 )
10.Translate 2
into words.
Ⓐ Half the sum of 2 numbers Ⓒ the sum of two numbers multiplied by 2
Ⓑ Half the difference of two numbers Ⓓ Two more than the sum of 2 numbers
11.How many terms does the expression 3x -4 + x have?
2 3

Ⓐ 1 Ⓑ 2 Ⓒ 3 Ⓓ 4
12.Find the value of 64?
Ⓐ 1296 Ⓑ 1962 Ⓒ 1692 Ⓓ 1926

13. Which of the following gives the correct expanded form of the exponential expression 25?
Ⓐ 2/5 Ⓑ (5)(5) Ⓒ (2)(2)(2)(2)(2) Ⓓ (2)(5)

14. What is the result in the expression −4x + 13 if x = 3?

Ⓐ 1 Ⓑ 17 Ⓒ 27 Ⓓ 52
15. If x = -2, which of the following expressions are equal?
Ⓐ x and (x – 1) Ⓑ 2x and (x – 4) Ⓒ -x and (x + 6) Ⓓ 4x and (x – 6)

16. Which of the following expressions shows the sum between –2x2 + x + 3 and x2 + 7x + 1.
Ⓐ -x2 + 8x + 4 Ⓑ -3x2 + 8x + 4 Ⓒ x2 - 6x + 4 Ⓓ -3x2 - 6x + 2

17. If you have (100x3 – 5x + 3) pesos in your wallet and you spent (80x3 – 2x2 + 9) pesos in buying
foods, how much money is left in your pocket?
Ⓐ 180x3 - 7x2 + 5x +12 pesos Ⓑ 20x3 - 2x2 – 5x + 12 pesos
Ⓒ 20x3 + 2x2 – 5x – 6 pesos Ⓓ 180x3 + 2x2 – 5x – 6 pesos

18. Which expression below has the same value as (x3)2?

Ⓐ x5 Ⓑ x6 Ⓒ x•x•x•x•x Ⓓ x3 • x2

19. Which of the following is the result when you simplify the given expression 9(-4x5)2?
Ⓐ -36x7 Ⓑ 144x10 Ⓒ -144x7 Ⓓ 72x10

20. The cost of (x + 3) ballpens is (2x2 + 7x + 3) pesos. What is the cost of each ballpen?
Ⓐ 2x - 1 Ⓑ 2x + 1 Ⓒ 3x + 1 Ⓓ 2x + 6
21. The length of a rectangle is (2x – 3) and the width is (x+7). What is the area of the rectangle in terms
of x?
Ⓐ 2x2 + 11x - 21 Ⓑ 2x2 - 17x - 21 Ⓒ 3x2 + 11x - 21 Ⓓ 3x2 + 4

22. Which of the following is NOT a special product?

I. (a + b) (a + b) II. (a – b) (a – b) III. (a + b) (a - b) IV. (a * b) (a * b) V. (a / b) (a / b)

Ⓐ I and II Ⓑ II and III Ⓒ I and III Ⓓ IV and V

23. If (2x + 3) is multiplied to (2x – 3), what is the result?

Ⓐ 4x2 + 9 Ⓑ 4x2 - 9 Ⓒ 4x2 - 6 Ⓓ 4x2

24. A square pond is surrounded by a gravel path as shown in figure at the right.
What is the area of the path?
Ⓐ x2 + 9 Ⓑ x2 – 9
Ⓒ 9x Ⓓ 12x

25. In the question, “Is there a trinomial that can be multiplied to x – 1 to get x3 + 1?”, which of the
statements below best answer this question?
Ⓐ Yes, they should then be able to get the middle term which is x.
Ⓑ Yes, since multiplying it by x2 from (x – 1) is the only way to get x3.
Ⓒ None, because one of the factors should be the sum of the terms to get the sum of two cubes.
Ⓓ None, because all the factors should be the difference of the terms to get the difference of two
cubes.
26. Chad built a scale model of a statue. He built the model 7 inches tall to represent the actual height
of 35 inches. Which equation below represents the relationship between the actual height (a) and the
height of the model (m)?
7 7
Ⓐ a = 35m Ⓑ m = 35 a Ⓒ a = 7m Ⓓ m = 5a

27. Each student in Grade 7 - Star has crayons (c) and pencils (p). If there are 50 students, how many
crayons are there?
Ⓐ 50c Ⓑ 50(c + p) Ⓒ 50 + c Ⓓ 50 + p

28 Josie will be fencing her backyard with a side length of (x + 3) and width of (2x – 5). What would be
the perimeter of the backyard?
Ⓐ 4x - 2 Ⓑ 6x - 4 Ⓒ 2x - 16 Ⓓ 2x2 + x - 15
29. A chicken is g pounds. It needs to be cooked for 15 minutes per pound plus an extra 5 minutes. The
expression will be used is 15g + 20. Is the expression correct?
Ⓐ Yes, adding the two-given time in minutes is correct.
Ⓑ No, they must add 15 minutes to the extra 5 minutes.
Ⓒ Yes, since multiplying pounds to 15 added to 20 minutes is correct.
Ⓓ No, since every pound should be cooked in 15 minutes (5g) + 5 minutes.

30. Which of the following is an example of an equation?

Ⓐ 3n −6 Ⓑ 4n >9 Ⓒ 2 =n −1 Ⓓ 4n2

31. The sum of a number (n) and 14 is 72. Which equation shows this relationship?
Ⓐ 14+n=72 Ⓑ 72n=14 Ⓒ 14-n=72 Ⓓ 72+n=14

32. Seven less than 3 times the sum of a number and 5 is at most 11. Which of the following that
satisfy this condition?
Ⓐ 7 – 3x + 5 ≤ 11 Ⓑ 7 – 3(x + 5) ≥ 11 Ⓒ 3x - 12 ≤ 11 Ⓓ 3(x + 5) - 7 ≥ 11

33. What is the value of x that would make the equation 4x – 8 = 12 correct?
Ⓐ 3 Ⓑ 5 Ⓒ 7 Ⓓ 9

34. Cassy’s age is 1/3 of her dad’s age. If her dad is 36 years old, how old is she?
Ⓐ 18 years old Ⓑ 12 years old Ⓒ 9 years old Ⓓ 4 years old

35. Which of the following represents a linear equation in one variable?

Ⓐ x–5=3 Ⓑ x+y=3 Ⓒ 3x Ⓓ x+2<3

36. Nine minus five times a number x is thirty-four. Which of the following expressions represents the
value of the number?
Ⓐ x=5 Ⓑ x = −5 Ⓒ x = −9 Ⓓ x=9

37. Jay’s father is twice as old as Jay. In 20 years, Jay will be two-thirds as old as his father. How old is
Jay’s father?
Ⓐ 35 Ⓑ 40 Ⓒ 42 Ⓓ 44

38. The sum of the two numbers is 49. If one number is 3 less than another number, what are the two
numbers?
Ⓐ 26 and 23 Ⓑ 25 and 24 Ⓒ 27 and 22 Ⓓ 28 and 21
39. The cost of the gallon of orange juice is Php175.00. What is the maximum number of containers
can you buy for Php750.00?
Ⓐ 3 Ⓑ 4 Ⓒ 5 Ⓓ 6

40. Shayne finds the solution of this equation:

3 (2 – 3x) = 15
6 – 3x = 15
-3x = 15-6
-3x = 9
x = -3
Is Shayne’s solution correct?

Ⓐ Yes, since 3 is multiplied to 2 and -3x.

Ⓑ Yes, because 9 is divided to -3.
Ⓒ No, she must multiply 3 to -3x also.
Ⓓ No, the value of x must be positive.

GOOD LUCK!