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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. Is the agreement of things in Quanity.
both integers are positive or both are negative
hexagon
Original + Change = New Change/Original = Percent Change
Equality

2. Cross-multiply
mean
To find out - easily - if one fraction is bigger than another
composite number
hexagon

3. Whole is equal in Multitude to a Part of the other.
Computation
congruent
Equal
Axiom III.

4. The whole-number system uses only ten characters -0 through 9.
The height of a triangle
The Decimal Numbering System
right triangle
Parts

5. The result of multiplying two or more numbers.
product
the same point on the number line
Step 1 of Converting mixed numbers to improper fractions
multiplier

6. Profit = ?
hexagon
axiom
Revenue ($) - Cost ($)
y-axis

7. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
x-coordinate
x/100
UnitPrice ($/unit) x Qty.Purchas'd (units)
Sum of Interior Angles of a Polygon: (n - 2) x 180

8. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
exponent
To add integers that have the same sign both positive or both negative:
Converting mixed numbers to improper fractions.
median

9. Species are distinguished into
A = (Diagonal1 x Diagonal2) / 2
proper fraction
Known (Given) and Unknown (Sought)
rhombus

10. A parallelogram with four right angles
Even div. by 4
the Complement of that part to the whole
rectangle
y-axis

11. What is the formula forCounting consecutive integers?
Axiom III.
(Last - First + 1)
Arithmetic - Music - Geometry and Astronomy
simplify

12. For there to be X unique factors of X - what must be true?
radius
dividend
Evaluating Powers With Negative Exponents
Every integer between 1 and X - inclusive - must be a factor of X

13. When will a decimal Not terminate and why?
divisor
dividing the numerator and denominator by the same number
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Relative multitude

14. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
integer or whole number
The height of a triangle
Number Systems
factor

15. The terms Species and Number
Quantity is expressed
Unit Cost + Markup
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
There are two parts in the procedure for subtracting signed integers:

16. Indicates the number to be multiplied
Every integer between 1 and X - inclusive - must be a factor of X
mixed number
base
axiom

17. The ratio of a number to 100 (per one hundred). The symbol %
improper fraction
A = (Diagonal1 x Diagonal2) / 2
percent
5/8

18. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Even
Proof
Number
Sale Price - Unit Cost

19. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
Zero multiplied by any value
ratio
reciprocal
the denominator of the original improper fraction

20. What is the formula forCounting consecutive multiples?
x-axis
dividend
reflection
( (Last - First) / Increment ) + 1

21. An eight-sided polygon
axiom
Some integer/Some Power of 10
octagon
Even and Odd

22. The Only possible factors for a prime number are
Axiom IV.
Odd
1 and itself
Any value multiplied by one

23. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
congruent
Carry the 10's digit of the product to the top of the 10's column of factors.
How the Last Digit Shortcut works
Known (Given) and Unknown (Sought)

24. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
y-coordinate
The rule for adding negative integers is the same as the rule for adding positive integers:
proper fraction
Known quantities

25. Adding integers that have opposite signs means
ordered pair
rhombus
Multitudes and Magnitudes
one is positive and the other is negative

26. The action of the mind whereby a quantity is measured by Unity or a Unit.
When you are absolutely sure the variable or expression <> 0
angle
When numbers do not divide evenly
Computation

27. The amount that remains after one number has been subtracted from another
To make sure to solve for Both cases.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
difference
Odd

28. The numerator is smaller than the denominator
percent
Aliquant Part
proper fraction
Parts

29. A number that when multiplied by itself results in the original number
The bottom side of the triangle
Multitude
theorem
square root

30. Two numbers listed in a specific order; it describes a point on the coordinate graph
Zero (0)
ordered pair
Whole Numbers
supplementary angles

31. Operations enclosed in a sign of grouping
Always completed first
To add integers that have the same sign both positive or both negative:
To add integers that have opposite signs:
difference

32. Lines in the same plane that do not intersect. The symbol //
parallel lines
supplementary angles
least common multiple (LCM)
always clear the innermost groups first

33. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
similar figures
inverse operations
A plus sign (+) is used for two entirely different purposes:
divisor

34. A ratio that shows the cost per unit of measure
Odd
More
unit ratio
mean

35. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Odd
Decreases
A minus sign ( - ) is used for two entirely different purposes:
Unity - or a Unit

36. In a group of values - the value that occurs most often.
Unknown quantities
mode
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
equilateral triangle

37. Is the disagreement of things in Quantity.
isosceles triangle
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Inequality
The Ratio of Any two of the following: Original - Change and New

38. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
reciprocal
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Odd or Non-Int
change the operation from subtraction to addition

39. The result of the division called the
A = (D1 x D2) / 2
(Last - First + 1)
Original x (1 - x/100) = New
quotient

40. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
Always completed first
Unit Price x Qty. Sold
denominator
reciprocal

41. A polygon that has four sides
equal to itself.
Every integer between 1 and X - inclusive - must be a factor of X
When the addends have opposite signs one is + and the other is -
quadrilateral

42. Rules that tell which steps to follow when solving an expression
Wage Rate ($ per hr) x Hrs worked
A sum of 2 primes is Odd
order of operations
referred to Unity in the same way

43. The distance around a figure
scale drawing
perimeter
range
median

44. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
Decimals/Percents
Sale Price - Unit Cost
area
exactly the same portion

45. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Being divided by a power of 10
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
axiom

46. A self-evident statement - that is - one that does not need to be demonstrated.
axiom
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
Converting mixed numbers to improper fractions.
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount

47. The distance around a figure.
whether the addends have the same sign or opposite signs
perimeter
mixed fractions
quotient

48. Adding integers that have the same sign means
How the Last Digit Shortcut works
Change + - Original = New
Odd
both integers are positive or both are negative

49. 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.
Odd
Converting mixed numbers to improper fractions.
difference
acute angle

50. 1 to any power is equal to
Alternative to the algebraic manipulation method to solving a VIC
To find out - easily - if one fraction is bigger than another
referred to the same Unit
1