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. 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






2. 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.'






3. 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






4. Negative






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






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






7. Mathematical statement that equates two mathematical expressions.






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






9. Means approximately equal.






10. If a is any whole number - then a






11. 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).






12. A way to measure how far away a given individual result is from the average result.






13. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






14. This method can create a flat map from a curved surface while preserving all angles in any features present.






15. All integers are thus divided into three classes:






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






17. 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.






18. A · 1/a = 1/a · a = 1






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






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






21. The surface of a standard 'donut shape'.






22. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






23. 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.'






24. 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.






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. Uses second derivatives to relate acceleration in space to acceleration in time.






27. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






28. An important part of problem solving is identifying






29. A + (-a) = (-a) + a = 0






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






31. 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 -






32. If a and b are any whole numbers - then a






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






34. If its final digit is a 0.






35. 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






36. In the expression 3






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






38. 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






39. 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


40. Are the fundamental building blocks of arithmetic.






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






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






43. 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






44. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






45. 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






46. You must always solve the equation set up in the previous step.






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






48. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






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






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