Name:_____________________________ Course/Year/Section:________
Schedule:__________________________ Date: ____________________
WORKSHEET
MATHEMATICAL LANGUAGE AND SYMBOLS
3 (PART 1)
Let’s Do This!
A. Let the number be represented by any variable. Translate the following English
phrases to mathematical phrases.
Ex. Eight less than twice a number. Answer: 2x – 8
1. Twice the sum of a number and ten.
Answer: 2(x+10)
2. The square of the sum of five and a number.
Answer: (5+x)2
3. The product of two consecutive numbers subtracted from eighty.
Answer: 80-(x(x+1))
4. The square of a number added to its reciprocal.
1
Answer: x2 +
x
5. The square root of the sum of the number and four if greater than zero.
Answer: √ x+ 4 , x >0
6. Two more than five times a number is equal to two less than a number.
Answer: 5x + 2 = x-2
7. One more than three times a number is ten.
Answer: 3x + 1 = 10
8. The sum of the squares of two consecutive numbers.
Answer: x2 + (x+1)2
9. The square of the sum of four and a number.
Answer: (x+4)2
10.One half of some number increase by six.
1
Answer: x+6
2
B. Translate the following mathematical phrases to English phrases.
Ex. 2x-8. Answer: Eight less than twice a number.
1. N +7
Answer: Seven more than a number
2. ( x + y )2
Answer: The square of sum two different numbers
Name:_____________________________ Course/Year/Section:________
Schedule:__________________________ Date: ____________________
3. 2 mt
Answer: Twice the product of two different numbers.
sx
4.
2
Answer: Half of product of two different numbers.
2
5. (m ¿ ¿ 2+n2 ) ¿
Answer: Square of the sum of two different squared numbers.
6. x +5=15
Answer: Fifteen more than a number is equal to fifteen.
7. 3(x + 4)
Answer: Thrice the sum of a number and four.
8. 2 f – 20
Answer: 20 less than the twice of a number
9. kj−√ 7
Squareroot of seven less than the product of two different numbers.
10. 5 x+ 4=x−2
Four more than five times a number is equal to two less than a number.
WORKSHEET
MATHEMATICAL LANGUAGE AND SYMBOLS
3 (PART 1)
C. Write each of the following sets in Roster Form:
1. The set of the first seven natural numbers.
S= { 1,2,3,4,5,6,7 }
2. The set of positive integers less than 15
P= {1,2,3,4,5,6,7,8,9,10,11,12,13,14 }
3. The set of letters in the word “mathematics”.
W ={ M , a , t , h , e , I , c , s }
4. The set of integers between -5 and 5.
I ={−4 ,−3 ,−2 ,−1,0,1,2,3,4 }
5. The set of prime factors of 36.
W ={ 2,3 }
Name:_____________________________ Course/Year/Section:________
Schedule:__________________________ Date: ____________________
6. The set of all prime numbers between 1 and 25.
P= {2,3,5,7,13,17,19,23 }
7. The set of the first four odd numbers divisible by 3.
O= {3,9,15,21 }
8. The set of names of the last four months of a year.
M = { September ,October , November , December }
9. The set of any four geometrical figures names.
W ={ Triangle , Cube , ,̊ Cylinder }
10. The set of days in a week.
W ={ Monday ,Tuesday , Wednesday ,Thursday , Friday , Saturday , Sunday }
D. Write each of the given set in the Set-Builder Form.
1. Y = { 2, 4 , 6 , 8 ,10 }
Answer: The set of positive even number less than 11
2. K= { January , June , July }
Answer: The set of months that starts with letter “j”
3. R={ 5 ,10 , 15 , 20 ,25 , 30 }
Answer: The set of first six numbers divisible by 5
4. A={ 16 , 25 ,36 , 49 , 64 }
Answer: The set of perfect square number from ten to seventy.
5. M = {−2 ,−1, 0 , 1 ,2 }
Answer: The set of integers between -3 and 3.
E. State, whether the given set is finite or infinite.
1. The set of all even integers. - infinite
2. { multiples of 5 } - infinite
3. { fractionsbetween 1∧2 } - finite
4. { x ∣ x is an integer between−10∧10 } -finite
5. { prime numbers } -infinite
F. State, whether each pair of sets, given below, is equal sets or equivalent sets.
1. { a , b , c , d }∧{ 1 ,2 , 3 , 4 }- equal
2. { even natural numbers } and { odd natural numbers } - equal
3. { letters of the word member }∧ {letters of the word remember }- equivalent
4. { 2 , 4 , 6 , 8 , 10 } and { even natural numbers less than 12 } - equivalent
5. { x ∣ x is a month having 33 days } and { x ∣ x is a year having 360 days } - equivalent
