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






2. Not associative






3. Can be added and subtracted.






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






5. 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






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






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. Involve only one value - such as negation and trigonometric functions.






9. Operations can have fewer or more than






10. The process of expressing the unknowns in terms of the knowns is called






11. 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






12. An operation of arity zero is simply an element of the codomain Y - called a






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






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






15. Will have two solutions in the complex number system - but need not have any in the real number system.






16. A unary operation






17. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






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






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






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






21. Are called the domains of the operation






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






23. (a






24. 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)






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






26. Can be defined axiomatically up to an isomorphism






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






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






29. The values combined are called






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






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






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






33. The inner product operation on two vectors produces a






34. May not be defined for every possible value.






35. 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






36. b = b






37. Is an equation involving derivatives.






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






39. There are two common types of operations:






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






41. Logarithm (Log)






42. Division ( / )






43. () 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.






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






45. A + b = b + a






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






47. The value produced is called






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






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






50. 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