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






2. 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






3. Is a function of the form ? : V ? Y - where V ? X1






4. Are denoted by letters at the beginning - a - b - c - d - ...






5. A unary operation






6. Is Written as a + b






7. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its






8. 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.






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






10. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the






11. Logarithm (Log)






12. Is Written as ab or a^b






13. Subtraction ( - )






14. If a < b and c < 0






15. 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






16. 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






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






18. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






19. The values of the variables which make the equation true are the solutions of the equation and can be found through






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






21. Is called the codomain of the operation






22. A






23. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






24. Is an equation involving integrals.






25. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called






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






27. 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.






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






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






30. Is an equation of the form X^m/n = a - for m - n integers - which has solution






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






32. Is an equation involving derivatives.






33. Include the binary operations union and intersection and the unary operation of complementation.






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






35. Include composition and convolution






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






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






38. If a < b and c > 0






39. If a = b then b = a






40. 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






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






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






43. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.






44. Not associative






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






46. Can be combined using logic operations - such as and - or - and not.






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






48. Are called the domains of the operation






49. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).






50. If a < b and b < c