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






2. 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






3. The state of appearing unchanged.






4. The study of shape from an external perspective.






5. A · b = b · a






6. In the expression 3






7. An important part of problem solving is identifying






8. 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.






9. The fundamental theorem of arithmetic says that






10. Index p radicand






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






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






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






14. (a · b) · c = a · (b · c)






15. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






16. 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.'






17. 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.






18. To describe and extend a numerical pattern






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






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






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






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






23. All integers are thus divided into three classes:






24. Arise from the attempt to measure all quantities with a common unit of measure.






25. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






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






27. 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.'






28. A + 0 = 0 + a = a






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






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






31. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






32. A · 1/a = 1/a · a = 1






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






34. 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).






35. Solving Equations






36. 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.






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






38. A






39. 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.'






40. 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






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






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






43. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






44. 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.






45. 4 more than a certain number is 12






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






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






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






49. 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






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