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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 number is divisible by 2






2. Positive integers are






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






4. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






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






6. Solving Equations






7. 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.'






8. 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






9. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






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






11. 4 more than a certain number is 12






12. An important part of problem solving is identifying






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






14. Originally known as analysis situs






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






16. A + 0 = 0 + a = a






17. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






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






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






20. 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






21. Negative






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






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






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






25. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






26. A + b = b + a






27. An arrangement where order matters.






28. To describe and extend a numerical pattern






29. 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.






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






31. 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.






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






33. 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.






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






35. The expression a/b means






36. All integers are thus divided into three classes:






37. 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).






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






39. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






40. Are the fundamental building blocks of arithmetic.






41. 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






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






43. 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.






44. The state of appearing unchanged.






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






46. In the expression 3






47. If grouping symbols are nested






48. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






49. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






50. Mathematical statement that equates two mathematical expressions.