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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. If a = b then






2. All integers are thus divided into three classes:






3. 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 -






4. 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).






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






6. 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






7. An important part of problem solving is identifying






8. 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.






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






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






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






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






13. A · 1/a = 1/a · a = 1






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






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






16. The state of appearing unchanged.






17. If a = b then






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






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






20. Multiplication is equivalent to






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






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






23. 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.






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






25. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






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






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






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






29. 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






30. 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.






31. 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.






32. This result says that the symmetries of geometric objects can be expressed as groups of permutations.


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






34. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






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






36. A · b = b · a






37. N = {1 - 2 - 3 - 4 - 5 - . . .}.






38. 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






39. 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






40. The process of taking a complicated signal and breaking it into sine and cosine components.






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






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






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






44. A






45. The expression a/b means






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






47. Mathematical statement that equates two mathematical expressions.






48. When writing mathematical statements - follow the mantra:






49. 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






50. Negative