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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. An important part of problem solving is identifying






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






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






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






7. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






8. 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.






9. A + b = b + a






10. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






11. 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.






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






13. A · 1/a = 1/a · a = 1






14. An arrangement where order matters.






15. 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.'






16. 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.






17. 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.






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






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






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






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






22. The expression a/b means






23. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






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






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






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






28. 4 more than a certain number is 12






29. (a






30. 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






31. 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.






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






33. 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.






34. All integers are thus divided into three classes:






35. A · 1 = 1 · a = a






36. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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37. A number is divisible by 2






38. If a is any whole number - then a






39. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






40. If a - b - and c are any whole numbers - then a






41. 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.'






42. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






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






44. A flat map of hyperbolic space.






45. If a = b then






46. 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.






47. 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






48. 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).






49. Negative






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