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CLEP College Algebra: Algebra Principles

Subjects : clep, math, algebra
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. Involve only one value - such as negation and trigonometric functions.

2. The values combined are called

3. If a < b and b < c

4. Are denoted by letters at the end of the alphabet - x - y - z - w - ...

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

6. Is called the type or arity of the operation

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

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

9. Operations can have fewer or more than

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

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

12. Include composition and convolution

13. A + b = b + a

14. Is called the codomain of the operation

15. Division ( / )

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

17. Is algebraic equation of degree one

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

19. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)

20. If a < b and c > 0

21. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:

22. Is an equation involving a transcendental function of one of its variables.

23. 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

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

25. The squaring operation only produces

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

27. 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.

28. The inner product operation on two vectors produces a

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

30. Subtraction ( - )

31. If a < b and c < d

32. Is Written as a

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

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

35. Is an equation involving integrals.

36. 0 - which preserves numbers: a + 0 = a

37. 1 - which preserves numbers: a^1 = a

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

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

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

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

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

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

44. An operation of arity k is called a

45. The value produced is called

46. 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.

47. 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)

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

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

50. A binary operation