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






2. If a = b then






3. The expression a/b means






4. In the expression 3






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






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






7. If a is any whole number - then a






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






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






10. 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.






11. 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.'






12. 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






13. (a + b) + c = a + (b + c)






14. 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).






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






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






17. 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.






18. × - ( )( ) - · - 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






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






20. 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






21. The fundamental theorem of arithmetic says that






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






23. If a = b then






24. 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.'






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






26. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






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






28. Positive integers are






29. 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






30. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






31. Dimension is how mathematicians express the idea of degrees of freedom






32. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






33. Has no factors other than 1 and itself






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






35. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






36. Add and subtract






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






38. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






39. Multiplication is equivalent to






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






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






42. A number is divisible by 2






43. Solving Equations






44. Negative






45. A · b = b · a






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






47. Is a path that visits every node in a graph and ends where it began.






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






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






50. 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.'