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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 equation of the form aX = b for a > 0 - which has solution






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






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






4. If a = b then b = a






5. Can be defined axiomatically up to an isomorphism






6. A unary operation






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






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






9. If a < b and c < d






10. In which properties common to all algebraic structures are studied






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






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






13. A






14. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction






15. Is an equation involving derivatives.






16. () 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.






17. If a < b and b < c






18. 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






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






20. If a < b and c < 0






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






22. Symbols that denote numbers - is to allow the making of generalizations in mathematics






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






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






25. The values combined are called






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






27. Is Written as ab or a^b






28. The inner product operation on two vectors produces a






29. 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).






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






31. Logarithm (Log)






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






33. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






34. 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






35. Subtraction ( - )






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






37. 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.






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






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






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






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






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






43. May not be defined for every possible value.






44. The operation of multiplication means _______________: a






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






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






47. b = b






48. Is Written as a + b






49. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






50. Applies abstract algebra to the problems of geometry