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






2. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






3. 4 more than a certain number is 12






4. 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.






5. 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






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






7. The expression a/b means






8. 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






9. 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.






10. The inverse of multiplication






11. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






12. In the expression 3






13. The study of shape from an external perspective.






14. Add and subtract






15. Solving Equations






16. 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.






17. Are the fundamental building blocks of arithmetic.






18. 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

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






20. If a is any whole number - then a






21. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






22. 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.






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






24. 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






25. Einstein's famous theory - relates gravity to the curvature of spacetime.






26. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






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






28. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.






29. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






30. (a






31. A + 0 = 0 + a = a






32. 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.






33. A flat map of hyperbolic space.






34. A · b = b · a






35. 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.






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






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






38. 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).






39. Let a and b represent two whole numbers. Then - a + b = b + a.






40. 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).






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






42. 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






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






44. An algebraic 'sentence' containing an unknown quantity.






45. Negative






46. If grouping symbols are nested






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






48. Two equations if they have the same solution set.






49. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






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