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






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






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






4. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






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






6. A flat map of hyperbolic space.






7. A factor tree is a way to visualize a number's






8. A






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






10. 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 -






11. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






12. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






13. If a = b then






14. 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.






15. 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.






16. Dimension is how mathematicians express the idea of degrees of freedom






17. Are the fundamental building blocks of arithmetic.






18. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






19. An arrangement where order matters.






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






21. The expression a/b means






22. 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






23. The system that Euclid used in The Elements






24. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






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






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

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27. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






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






29. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






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






31. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






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






33. If its final digit is a 0 or 5.






34. Solving Equations






35. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






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






37. A topological invariant that relates a surface's vertices - edges - and faces.






38. To describe and extend a numerical pattern






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

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40. 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






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






42. All integers are thus divided into three classes:






43. The inverse of multiplication






44. 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.






45. Writing Mathematical equations - arrange your work one equation






46. Add and subtract






47. A number is divisible by 2






48. If its final digit is a 0.






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






50. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a