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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. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






2. (a






3. 0 - which preserves numbers: a + 0 = a






4. A






5. 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'.






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






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






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






9. Is an equation in which the unknowns are functions rather than simple quantities.






10. Is Written as a






11. () is the branch of mathematics concerning the study of the rules of operations and relations - and the constructions and concepts arising from them - including terms - polynomials - equations and algebraic structures.






12. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






13. The squaring operation only produces






14. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity






15. A + b = b + a






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






17. 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






18. Can be added and subtracted.






19. Is an equation of the form log`a^X = b for a > 0 - which has solution






20. Is an equation involving integrals.






21. The values for which an operation is defined form a set called its






22. If a = b and c = d then a + c = b + d and ac = bd; that if a = b then a + c = b + c; that if two symbols are equal - then one can be substituted for the other.

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23. That if a = b and c = d then a + c = b + d and ac = bd;that if a = b then a + c = b + c; that if two symbols are equal - then one can be substituted for the other.






24. 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.






25. The codomain is the set of real numbers but the range is the






26. Is an algebraic 'sentence' containing an unknown quantity.






27. Not associative






28. 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).






29. Is algebraic equation of degree one






30. 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






31. Is Written as a + b






32. If it holds for all a and b in X that if a is related to b then b is related to a.






33. 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






34. Include composition and convolution






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






36. If a < b and c < 0






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






38. Algebra comes from Arabic al-jebr meaning '______________'. Studies the effects of adding and multiplying numbers - variables - and polynomials - along with their factorization and determining their roots. Works directly with numbers. Also covers sym






39. Applies abstract algebra to the problems of geometry






40. If a < b and c < d






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






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






43. Is called the type or arity of the operation






44. Is called the codomain of the operation






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






46. 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.






47. May not be defined for every possible value.






48. Subtraction ( - )






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






50. Referring to the finite number of arguments (the value k)