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






2. 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).






3. 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.






4. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






5. 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






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






7. 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.'






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






9. 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






10. A graph in which every node is connected to every other node is called a complete graph.






11. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


12. 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.






13. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






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






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






16. The expression a/b means






17. In the expression 3






18. When writing mathematical statements - follow the mantra:






19. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






20. To describe and extend a numerical pattern






21. 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.






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






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






24. Means approximately equal.






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






26. An important part of problem solving is identifying






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






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






29. 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.'






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






31. Requirements for Word Problem Solutions.






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






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






34. 4 more than a certain number is 12






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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


36. A + b = b + a






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. The state of appearing unchanged.






39. The study of shape from an external perspective.






40. (a






41. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






42. 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.






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






44. 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.'






45. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






46. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






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






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






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






50. 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