Assessment
Name: _Marlon T. Jalop Deadline: _____________________
Course/Year & Section: _BSED AP 2B Score/Ratings: _________________
Direction: Please write your answers on a yellow paper. Take photos and upload your output in
________________. Deadline on _____________.
1. Rewrite the following sentences using variables to make them more formal.
a. Are there numbers whose square are smaller than the numbers themselves?
A=x<x²
b. A prime number is an integer greater than 1 and whose only positive divisors are 1 and itself.
B=x>1
2. Fill withinside the blanks to rewrite the succeeding statement:
For all real number a, if a is greater than 4, then a2 is greater than 16.
a. If a real number is greater than 4, then its square is greater than 16_.
b. For all real numbers greater than 4, _then a² is greater than 16___.
c. If a __is greater than 4__, then _a² is greater than 16___.
d. The square of any real number greater than 4 is _greater than 16___
e. All real numbers greater than 4 have _a squared that is greater than 16__.
All flasks have lid.
a. Every flask _have lid___.
b. For all flasks A, there _is a lid___.
c. For all flasks A, there is a lid B such that _B is a lid for a___.
There is a dog in this group that is at least as heavy as every dog in the group.
a. Some _dog___ is at least as heavy as _every dog in the group___.
b. There is a dog c in this group such that c is _at least as heavy as every dog in the group___.
c. There is a dog c in this group with the property that for every dog d in the group, c is _at least as
heavy as D___.
3. Convert the following mathematical statements to English sentence. Write your answers on the
spaces provided.
a. 10 + 2 = 12 _the sum of ten and two is equal to twelve
b. 3(6) = 18 ___the product of three and six is eighteen
8−2
c. =2 ___________________________________________________
3
3(2+1)
d. =3
3
___________________________________________________
20
−2
e. 2 ___________________________________________________
=4
2
4. Convert the following English sentences to mathematical statements. Write your final answers on
the space provided.
a. The difference of nine and three is six.
__9-3=6________
b. The sum of seven and two, diminished by seven is equal to two.
_7+2-7=2___
c. The quotient of twenty-one and five, less two is seven.
21
5-3
d. The ratio of the sum of ten and five, and three is five.
_
e. Five hundred less eight percent is four hundred sixty.
5. Convert the following algebraic expressions to English sentence. Write your final answers on the
space provided.
a. 2 x=4−3 x ___twice a number is equivalent to four less than thrice_
2(3−1)
b. =4 the product of two and three less one divided by four demished by three
4−3
is four
6. Convert the following English sentences to algebraic expressions. Write your final answers on the
space provided.
a. The ratio of a number and sixteen is two-thirds.
n=16=
b. Seven times a number minus five is twice the difference of a number and five.
__7x-5=2_
In each statement of 7-10, fill in the blanks using a variable or variable to rewrite given statement.
7. Is there a real number whose square is 1?
a. Is there a real number a such that __a²=1__?
b. Does there exist _real number___ such that a2 = 1?
8. Given any real number, there is a real number that is lesser.
a. Given any real number a, there is __real number__ b such that b is _lesser___.
b. For any __real number a__, __b is lesser__ such that a< b.
9. The reciprocal of any negative real number is negative.
a. Given any negative real number t, the reciprocal of __real number is negative__.
b. For any real number t, if t is _negative___, then then the real number is negative____.
c. If a real number t ____, then ____.
10. The cube root of any positive real number is positive.
a. Given any positive real number n, the cube root of _n is positive___.
b. For any real number n, if n is __positive__, then _the real number is positive__.
c. If a real number n _is positive___, then _the real number n is positive___.
11. Fill withinside the blanks to rewrite the succeeding statement:
For all objects N, if N is a triangle, then N has three sides.
a. All triangles __has three sides__.
b. Every triangle __have a three sides__.
c. If an object is a triangle, then it _has a three sides___.
d. If N _is a triangle___, then N __has three sides__.
e. For all triangle N, _have a three sides___.
Every odd number has a reciprocal.
a. All odd number _has a reciprocal___.
b. For all odd number x, there is __a reciprocal__ for x.
c. For all odd number x, there is a real number y such that __every odd number has a reciprocal__.
Every even number has a positive square root.
a. All even number __has a positive square root___.
b. For any even number f, there is _a positive square root___ for f.
c. For all even numbers f, there is an even number g such that __f and g has a positive square root__.
12. Convert the following mathematical statements to English sentence. Write your
answers on the spaces provided.
a. 3(11 – 5) = 8 ____thrice the difference of eleven and five is eight__
b. 5(3 – 2) + 4 (3 – 1) = 13 __five times three minus two added with four multiplied by the difference of
three and one equals thirteen
1
(4 +6)
c. 2 _halved the sum of four and six all over five is one__
=1
5
2(4−2)
d. =3 __twice the difference of four and two divided by the difference of five and three is
5−3
three_
3 ( 4+1 ) −6
e. =3 ___thrice the difference of four and one, diminish six over three is three._
3
