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CLEP College Algebra: Algebra Principles

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. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






2. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics






3. The inner product operation on two vectors produces a






4. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an






5. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.






6. (a






7. If a < b and c < 0






8. In an equation with a single unknown - a value of that unknown for which the equation is true is called






9. Letters from the beginning of the alphabet like a - b - c... often denote






10. If a < b and c > 0






11. Can be combined using the function composition operation - performing the first rotation and then the second.






12. If a < b and c < d






13. Are true for only some values of the involved variables: x2 - 1 = 4.






14. If a < b and b < c






15. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)






16. If a = b and b = c then a = c






17. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the






18. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






19. Is an equation involving integrals.






20. Are denoted by letters at the end of the alphabet - x - y - z - w - ...






21. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.






22. A + b = b + a






23. k-ary operation is a






24. A vector can be multiplied by a scalar to form another vector






25. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).






26. An equivalent for y can be deduced by using one of the two equations. Using the second equation: Subtracting 2x from each side of the equation: and multiplying by -1: Using this y value in the first equation in the original system: Adding 2 on each s






27. The operation of exponentiation means ________________: a^n = a






28. In which the specific properties of vector spaces are studied (including matrices)






29. Is an action or procedure which produces a new value from one or more input values.






30. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






31. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po






32. Is a binary relation on a set for which every element is related to itself - i.e. - a relation ~ on S where x~x holds true for every x in S. For example - ~ could be 'is equal to'.






33. Operations can have fewer or more than






34. Division ( / )






35. Logarithm (Log)






36. 0 - which preserves numbers: a + 0 = a






37. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.






38. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






39. Elementary algebraic techniques are used to rewrite a given equation in the above way before arriving at the solution. then - by subtracting 1 from both sides of the equation - and then dividing both sides by 3 we obtain






40. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)






41. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of






42. Can be defined axiomatically up to an isomorphism






43. Is algebraic equation of degree one






44. Is an equation of the form aX = b for a > 0 - which has solution






45. Is an equation where the unknowns are required to be integers.






46. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).






47. Is an equation in which a polynomial is set equal to another polynomial.






48. Is called the codomain of the operation






49. Is an equation involving derivatives.






50. May not be defined for every possible value.