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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. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






2. A flat map of hyperbolic space.






3. The amount of displacement - as measured from the still surface line.






4. Are the fundamental building blocks of arithmetic.






5. In the expression 3






6. Means approximately equal.






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






8. The study of shape from the perspective of being on the surface of the shape.






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






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






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






12. The state of appearing unchanged.






13. 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).






14. The study of shape from an external perspective.






15. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






16. 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






17. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






18. Multiplication is equivalent to






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






20. A point in three-dimensional space requires three numbers to fix its location.






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






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






23. (a






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






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






26. 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.






27. Originally known as analysis situs






28. 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






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

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30. If a is any whole number - then a






31. 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






32. 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






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






34. 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 -






35. 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.






36. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






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






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






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






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






41. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






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






43. Positive integers are






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






45. An arrangement where order matters.






46. The fundamental theorem of arithmetic says that






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






48. 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.






49. Has no factors other than 1 and itself






50. A · b = b · a