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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

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. A value such as 6^3 can described as

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2. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
both integers are positive or both are negative
inverse operations
order of operations
Quantity is expressed

3. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
rectangle
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
mixed number
the Complement of that part to the whole

4. A number with an exponent of 2 is often said to be
Axiom VII.
When the addends have the same sign both + or both -
Zero (0)
squared

5. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
product
simplify
x-coordinate
integer or whole number

6. The distance around a circle (the perimeter of a circle).
common denominator
y-coordinate
cylinder
circumference

7. A polygon with five sides
pentagon
order of operations
Multitudes and Magnitudes
Sale Price - Unit Cost

8. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
Known (Given) and Unknown (Sought)
when there are explicit or implicit equations in the problem:
(Last - First + 1)
reduced fraction

9. If 2 numbers are OPPOSITES of each other
they have the same absolute value
The Ratio of Any two of the following: Original - Change and New
To add integers that have the same sign (both positive or both negative):
unit ratio

10. Odd / Even = ? e.g. 9/6 = 1.5
Species
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
proper fraction
Non-Int

11. The absolute value of numbers is indicated by
circumference
Number Systems
enclosing the numbers in a pair of vertical lines | |
The rule for adding negative integers is the same as the rule for adding positive integers:

12. Anything that may be increased or diminished
y-axis
Quantity
Both
Shift DP 2 places left

13. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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14. Change/Original = New
congruent
Percent Change
fraction or broken number
referred to Unity in the same way

15. One of the four regions formed by the intersection of the axes of a coordinate graph
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Number
A plus sign (+) is used for two entirely different purposes:
quadrant

16. Is the agreement of things in Quanity.
Equality
Odd
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
Power notation

17. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Odd
median
Sum of Interior Angles of a Polygon: (n - 2) x 180
Reducing: The Brute-Force Method

18. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
reflection
base
quadrant
y-coordinate

19. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
circumference
Equality
Sum of Interior Angles of a Polygon: (n - 2) x 180
difference

20. Total Earnings ($) = ?
prime number
Wage Rate ($ per hr) x Hrs worked
(Last - First + 1)
Equality

21. The distance around a circle (the perimeter of a circle)
Composite number
When numbers do not divide evenly
circumference
2 and/or 5 only

22. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
factors of the multiplication operation
Terminating decimal
2^3 = 8

23. When will a decimal Not terminate and why?
higher terms
polygon
Step 2 of Converting Improper Fractions to Mixed Numbers
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

24. An angle measuring more than zero degrees and less than 90 degrees
Adding negative integers will always produce a negative sum
When numbers do not divide evenly
acute angle
quotient

25. The result of dividing one number by another; the solution to a division problem
2 and/or 5 only
quotient
parallel lines
hexagon

26. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
Converting mixed numbers to improper fractions.
product
radius
scalene triangle

27. A parallelogram with all sides equal and congruent
equal to 1
rhombus
equation
mixed number

28. Is the disagreement of things in Quantity.
Magnitude at Rest and Magnitude in Motion
trapezoid
Inequality
Sum of Interior Angles of a Polygon: (n - 2) x 180

29. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
when there are explicit or implicit equations in the problem:
polygon
quotient
reciprocal

30. Has no sign value
Even - Odd or Non-Int
y-axis
Zero (0)
Is equal to the original value

31. The figure formed when two rays meet at a common endpoint called a vertex.
hexagon
Converting Improper Fractions to Mixed Numbers
equal to 1
angle

32. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
A = (Diagonal1 x Diagonal2) / 2
change the operation from subtraction to addition
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
Composite number

33. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
roots of numbers
complementary angles
vertex (vertices - plural)
Even div. by 4

34. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Change + - Original = New
Positive-value integers
square unit
The Decimal Numbering System

35. A whole number that has only one set of factors - itself and 1.
Inserting a zero at the left end of a whole number
square unit
prime number
lowercase letters

36. Quantities which are both equal to one and the same third are equal to one another.
A minus sign ( - ) is used for two entirely different purposes:
Axiom III.
reduced fraction
quotient

37. Adding integers that have opposite signs means
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
Proof
difference
one is positive and the other is negative

38. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
Converting Improper Fractions to Mixed Numbers
A = (Base x Height) / 2 - A = (BH)/2
When to use fractions
Axiom IV.

39. One number is said to be greater than (>) another when it is
Increases the value.
Unknown quantities
The Ratio of Any two of the following: Original - Change and New
farther to the right on the number line.

40. 0.625 --> Fraction ?
UnitPrice ($/unit) x Qty.Purchas'd (units)
To add integers that have opposite signs:
diameter
5/8

41. To indicate the addition operation- to indicate a positive integer value
Zero (0)
axiom
Aliquant Part
A plus sign (+) is used for two entirely different purposes:

42. The distance around a figure
order of operations
perimeter
equivalent
Original + Change = New Change/Original = Percent Change

43. Profit = ?
cubed
perimeter
Revenue ($) - Cost ($)
percent

44. In a division problem - the number that an amount is divided by
radius
Equal
Line Segments
divisor

45. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
Evaluating Powers With Negative Exponents
Line Segments
like fractions
When the addends have opposite signs one is + and the other is -

46. Switch to a number-picking strategy
Revenue ($) - Cost ($)
Alternative to the algebraic manipulation method to solving a VIC
Long Division
mixed fraction

47. The difference between the least and greatest values in a set of numbers
cubed
Always completed first
range
Known quantities

48. The result of muliplying two or more numbers
Odd
one is positive and the other is negative
product
ratio

49. A ratio that compares two different types of quantities
rate
Odd
Negative-value integers
2

50. No integer (except 1) that divides evenly into both the numerator and denominator.
Proof
Negative-value integers
Alternative to the algebraic manipulation method to solving a VIC
reduced fraction