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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. 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).






2. Is called the type or arity of the operation






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






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






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






6. Not associative






7. If a < b and b < c






8. 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






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






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






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






12. 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)






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






14. k-ary operation is a






15. 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






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






17. Include composition and convolution






18. Can be added and subtracted.






19. The operation of multiplication means _______________: a






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






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






22. Is called the codomain of the operation






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






24. b = b






25. If a < b and c > 0






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






27. Is Written as a + b






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






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






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






31. 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






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






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






34. Is the claim that two expressions have the same value and are equal.






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






36. (a






37. Are called the domains of the operation






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






39. A binary operation






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






41. 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.






42. 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.






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






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






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






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






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






48. 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.






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






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