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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. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






2. Is the shortest string that contains all possible permutations of a particular length from a given set.






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






4. Add and subtract






5. 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






6. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






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






8. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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






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






11. Aka The Osculating Circle - a way to measure the curvature of a line.






12. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






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






14. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






15. An important part of problem solving is identifying






16. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






17. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






18. The state of appearing unchanged.






19. Is a path that visits every node in a graph and ends where it began.






20. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






21. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






22. Means approximately equal.






23. Let a and b represent two whole numbers. Then - a + b = b + a.






24. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






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






26. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






27. (a






28. All integers are thus divided into three classes:






29. Originally known as analysis situs






30. A






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






32. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






33. Multiplication is equivalent to






34. Cannot be written as a ratio of natural numbers.






35. The study of shape from an external perspective.






36. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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






38. Solving Equations






39. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






40. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






41. The process of taking a complicated signal and breaking it into sine and cosine components.






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






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






44. If a represents any whole number - then a






45. Einstein's famous theory - relates gravity to the curvature of spacetime.






46. A topological object that can be used to study the allowable states of a given system.






47. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






48. 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.






49. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






50. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -