Test your basic knowledge |

CLEP General Math: Number Sense - Patterns - Algebraic Thinking

Subjects : clep, math, algebra
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






2. Are the fundamental building blocks of arithmetic.






3. (a + b) + c = a + (b + c)






4. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






5. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






6. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






7. N = {1 - 2 - 3 - 4 - 5 - . . .}.






8. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






9. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






10. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






11. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






12. Originally known as analysis situs






13. Division by zero is undefined. Each of the expressions 6






14. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.






15. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






16. Multiplication is equivalent to






17. If a is any whole number - then a






18. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






19. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






20. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






21. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






22. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






23. The surface of a standard 'donut shape'.






24. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






25. If its final digit is a 0.






26. Two equations if they have the same solution set.






27. The study of shape from an external perspective.






28. 1. Find the prime factorizations of each number.






29. Is a symbol (usually a letter) that stands for a value that may vary.






30. Means approximately equal.






31. In the expression 3






32. All integers are thus divided into three classes:






33. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






34. A · b = b · a






35. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






36. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






37. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






38. If a - b - and c are any whole numbers - then a






39. Determines the likelihood of events that are not independent of one another.






40. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






41. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


42. A flat map of hyperbolic space.






43. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






44. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






45. The fundamental theorem of arithmetic says that






46. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






47. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






48. A point in three-dimensional space requires three numbers to fix its location.






49. Original Balance minus River Tam's Withdrawal is Current Balance






50. If a whole number is not a prime number - then it is called a...