First Periodical Test

1.

Which statements can never have a natural number?
- A.
  
  The number of eggs hatched
- B.
  
  The picture of P-noy in a fifty peso bill
- C.
  
  The amount of water in maynilad’s dam
- D.
  
  The rate of a decreasing population.
Correct Answer
D. The rate of a decreasing population.

Explanation
The number of eggs hatched (Natural numbers)
The picture of P-noy in a fifty peso bill (Zero)
The amount of water in maynilad’s dam (irrational numbers)
The rate of a decreasing population.(negative integers)
• The only possible solution sets are natural numbers and the domains where the domain of natural numbers fall under. The Negative integers is a different set under integers. In this kind of problem you can only pick the upper branches and not its outer ones.

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2.

On the number line fine half the distance between -4 and 6
- A.
  
  5
- B.
  
  -5
- C.
  
  1
- D.
  
  -1
Correct Answer
A. 5

Explanation
*-4 is 4 units away from zero at the same time 6 is units from zero. The total distance from both numbers is
4 + 6 = 10
…therefore the answer is five because half of ten is 5! Right?!

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3.

What portion of a 2/3 cake remains if you ate ¼ of that cake?
- A.
  
  1/12
- B.
  
  2/12
- C.
  
  5/12
- D.
  
  3/7
Correct Answer
C. 5/12

Explanation
Step 1: 2/3 – ¼ subtract
Step 2: Do cross multiplication
Step 3: Simplify the numerator
Step 4: 5/12 Step 3 further simplified.

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4.

Solve 2 + 24 ÷ 4 * 3
- A.
  
  4
- B.
  
  16
- C.
  
  11
- D.
  
  20
Correct Answer
D. 20

Explanation
2 + (24 ÷ 4) * 3
2 + (6 * 3)
2 + 18
20

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5.

Translate, "Thrice the difference of six less than a number and three is less than twice the number."
- A.
  
  3n – 9 < 2n
- B.
  
  3[(n - 6) - 3] < 2n
- C.
  
  3n – 21 < 2n
- D.
  
  3n + 18 < 2n
Correct Answer
B. 3[(n - 6) - 3] < 2n

Explanation
Thrice the difference of six less than a number and three is less than twice the number.
3* ( ( - 6 + n ) - 3 ) < 2* n
3 ((n – 6) – 3) < 2n
3[(n - 6) - 3] < 2n

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6.

Evaluate K when K = 3x + 4, when x = 1/3
- A.
  
  5
- B.
  
  13
- C.
  
  7/3
- D.
  
  1/3
Correct Answer
A. 5

Explanation
when asked to evaluate just inject or replace the variable with the number (value) given.
Sets and domains

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7.

The inequality - 6 < w < 3 is a ______interval.
- A.
  
  Open
- B.
  
  Close
- C.
  
  Either
- D.
  
  Neither
Correct Answer
B. Close

Explanation
≤ and ≥ is used in closed intervals.
< and > is used in open intervals.
A combination means its neither closed nor open.

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8.

If Prime = { 1, 2, 3, 5} and Even = { 2, 4, 6}; Find Prime ∩ Even?
- A.
  
  {2}
- B.
  
  {}
- C.
  
  {1, 2, 3, 4, 5, 6}
- D.
  
  {1, 3, 4, 5, 6}
Correct Answer
A. {2}

Explanation
∩ means intersection, this refers to some image or elements are common on both domains.
U means Union, this refers to all the elements on both domains excluding repeated elements.

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9.

Which of the following is not sentence?
- A.
  
  4 = x
- B.
  
  4x – 2
- C.
  
  Not ≠ No
- D.
  
  4 > 7x
Correct Answer
B. 4x – 2

Explanation
It doesn’t have a mathematical verb.(i.e. =, , ≠, etc.)

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First Periodical Test

Which statements can never have a natural number?

On the number line fine half the distance between -4 and 6

What portion of a 2/3 cake remains if you ate ¼ of that cake?

Solve 2 + 24 ÷ 4 * 3

Translate, "Thrice the difference of six less than a number and three is less than twice the number."

Evaluate K when K = 3x + 4, when x = 1/3

The inequality - 6 < w < 3 is a ______interval.

If Prime = { 1, 2, 3, 5} and Even = { 2, 4, 6}; Find Prime ∩ Even?

Which of the following is not sentence?