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






2. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






3. Solving Equations






4. Are the fundamental building blocks of arithmetic.






5. Multiplication is equivalent to






6. A number is divisible by 2






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






8. A · 1/a = 1/a · a = 1






9. 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.






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






11. 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.






12. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






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






14. The state of appearing unchanged.






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






16. 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 -






17. Let a - b - and c be any whole numbers. Then - a






18. If a = b then






19. To describe and extend a numerical pattern






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






21. Originally known as analysis situs






22. Mathematical statement that equates two mathematical expressions.






23. 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






24. 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.






25. If a represents any whole number - then a






26. Index p radicand






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. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






29. All integers are thus divided into three classes:






30. The fundamental theorem of arithmetic says that






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






32. The expression a/b means






33. (a






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






35. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






36. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






37. If a = b then






38. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






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






40. 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






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






42. 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 -






43. In the expression 3






44. 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.






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






46. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






47. If a = b then






48. 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.






49. Rules for Rounding - To round a number to a particular place - follow these steps:






50. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.