mathematics in the modern world, Quizzes of Mathematics

Download mathematics in the modern world and more Quizzes Mathematics in PDF only on Docsity! Name: Date: Program: Score: Activity 2.1 Mathematics as a Language I. Consider the following symbols. Choose a symbol and place it on the blank so that the following expressions or sentences will become true. ,  , , ,  ,  , ! , , , , +, - ,  , = 1. 3 + 7 ___ _____ 7 6. ½ ___  _ _____ Z 2. 0 ___  _ __ Z 7. {1,2,4,7} ___  __ ___ {3,4,5} = {4} 3. {1,5} ____  _ _____{1,2,3,4,5} 8. 24 __  _ __ 2 __+ _ ___ 3 = 15 4. _  _ xi = x1 + x2 + x3+… 9. (5 __+___ 4) __  ____ 3 = 3 5. 4_ _ _ = 4(3)(2)(1) = 24 10. 3 (4 – 2) ___  _ __ 3(4) II. Label each of the following as an expression or a sentence. If it is a sentence, identify if it is true, false, or not known. 1. 3x + 2 ________Not known______________________________________ 2. 4x + 1  5 ________Not known ____________________________________ 3. 4 + 1 - (5 + 10) + 23 = -2 ________True____________________________________ 4. 18  3 x 2 + 1 = 4 _________False____________________________________________ 5. x + 3  10 ________ Not known____________________________________ III. Let n represent the number and translate each phrase or sentence into mathematical symbols. 1. Four more than a number. ______4 + n ___________________________________________ 2. Four times a number _________4 x n____________________________________________ 3. Four less than a number _________4 < n____________________________________________ 4. A number decreased by four _____n - 4____________________________________________ 5. The product of four and a number____4n____________________________________________ 6. Six more than five times a number____6+5xn_______________________________________ 7. Nine less than twice a number________9 – 2n_______________________________________ 8. A number divided by 7 _____________n  _ 7_______________________________________ 9. The product of a number and seven more than the number _____n(n + 7) ______________ 10. Eight less than twice a number is fourteen. __________ 2x - 8 _______________________ Activity 2.2 Four Basic Concepts: Set, Relation, Function and Binary Operation I. Determine whether each collection is well-defined or not. 1. The colors in the Philippine flag (well-defined) 2. The beautiful students enrolled in USTP-CDO (not well-defined) 3. The letters of the English alphabet (well-defined) 4. The enchanting rivers in Asia (not well-defined) 5. The numbers divisible by 3 (not well-defined) II. Determine whether the statement is true or false. 1. ∅ ⊂{P , M } FALSE 2. {one }∈ {one , two , three } TRUE 3. 1⊆{1,2,3,4,5 } FALSE 4. {1,23 }⊂{1,2,3,4,5} FALSE 5. The set of vowels in the word “cry” is an empty set. TRUE III. Set P shows the three condiments that a certain restaurant offers on its fries. P=¿ {mayonnaise, mustard, ketchup} List all the subsets of P. {mayonnaise, fries} {mustard, fries} {ketchup, fries} {mayonnaise} {mustard} {ketchup} {fries} {} IV. Tell whether each relation or situation defines a function. Justify your answer. 1. Function - we know that one-to-one and many-to-one are functions 2. Not function - one-to-many and many-to-many are not function 3. Not function - one-to-many and many-to-many are not function 4. Function - we know that one-to-one and many-to-one are functions Student Ark Sara Nico Swimmi ng Basketb all Football Archery Sports Student 5 4 3 2 1 Poor OK Good Excelle nt Ranking Rex Karla Nico Sean Pasta Fries Tacos Nuts Name Order Student Dino Ferlin Grace Hanna Mr. Cruz Ms. Dal 4. Teacher