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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

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. Odd x ? = Even
Even
Axiom X.
ratio
The rule for adding negative integers is the same as the rule for adding positive integers:

2. The whole-number part of the mixed number is the whole-number part of the
Long Division
Both
quotient
exponent

3. Change / Original Formula
common factor
UnitPrice ($/unit) x Qty.Purchas'd (units)
Change + - Original = New
the Complement of that part to the whole

4. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
The concept of trading decimal places and how it works
the same point on the number line
putting that number over 1
'five squared'

5. A number that is not a prime number is called a
composite number
Original x (1 - x/100) = New
simplify
the same point on the number line

6. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
improper fraction
x = (+-) a
Arithmetic - Music - Geometry and Astronomy
Computation

7. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
A minus sign ( - ) is used for two entirely different purposes:
When the addends have opposite signs one is + and the other is -
A = (Base x Height) / 2 - A = (BH)/2
Axiom IV.

8. The two kinds of parts
Aliquot and Aliquant Parts
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
1 - (y/100)
Long Division

9. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Even
The height of a triangle
complementary angle
A sum of 2 primes is Odd

10. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Relative multitude
acute angle
Mathematics

11. To indicate the subtraction operation - to indicate a negative integer value
A = (Diagonal1 x Diagonal2) / 2
change the operation from subtraction to addition
A minus sign ( - ) is used for two entirely different purposes:
A = (D1 x D2) / 2

12. Rules that tell which steps to follow when solving an expression.
order of operations
To find out - easily - if one fraction is bigger than another
median
Axiom VIII.

13. A value such as 5^2 can be called

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14. What is an evenly-spaced set?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Quantity is expressed
sum
farther to the left on the number line

15. What is the increment of a set of consecutive integers?
x = (+-) a
pyramid
1
common factor

16. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
Number Systems
least common multiple (LCM)
circumference
When numbers do not divide evenly

17. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Sum of Interior Angles of a Polygon: (n - 2) x 180
mean
divisor
putting that number over 1

18. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Unit Cost + Markup
Alternative to the algebraic manipulation method to solving a VIC
To square an equation to solve it
putting that number over 1

19. 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.
dividend
The concept of trading decimal places and how it works
denominator
vertex (vertices - plural)

20. Expresses fractional parts that are greater than 1.
Even
mixed number
Sale Price - Unit Cost
2 and/or 5 only

21. When the factors of a number are all prime numbers - the factors are said to be the
Change + - Original = New
prime factors
range
Mathematics

22. Species and Number may be
proportion
Homogenous or Heterogenous
equal to itself.
Long Division

23. An angle that measures 180 degrees
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
To add integers that have opposite signs:
straight angle
Species

24. The figure formed when two rays meet at a common endpoint called a vertex.
Shift DP 2 places right
pentagon
angle
The sum of all the integers from 20 to 100 - inclusive

25. The greater any number is in comparison to another - the more equal parts will it contain of that other.
mean
Axiom IX.
equal to itself.
the same point on the number line

26. Things are Equal in Magnitude when they are
referred to the same Unit
2^3 = 8
quadrilateral
Zero (0)

27. A number that tells how many times the base is multiplied by itself
when there are explicit or implicit equations in the problem:
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
quotient
exponent

28. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
dividing the numerator and denominator by the same number
prism
sum
mixed number

29. A polygon with five sides
improper fractions
Power notation
pentagon
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

30. What are the rules for picking numbers in VICS?
parallel lines
scalene triangle
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
ratio

31. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
The rule for adding negative integers is the same as the rule for adding positive integers:
scale drawing
prism
Computation

32. The terms Species and Number
The height of a triangle
Quantity is expressed
mode
Subtracting Signed Integers

33. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
reduced fraction
axiom
Step 2 of Converting mixed numbers to improper fractions
unit ratio

34. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
To add integers that have the same sign both positive or both negative:
( (Last - First) / Increment ) + 1
Is equal to the original value
Terminating decimal

35. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
factors of the multiplication operation
'five squared'
When the addends have the same sign both + or both -
ordered pair

36. The number to be multiplied by is called the
multiplier
Axiom V.
equivalent
rhombus

37. Two angles whose sum equals 90 degrees.
diameter
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
congruent
complementary angles

38. One number is said to be less than (<) another when it is
commutative law of multiplication
farther to the left on the number line
Even - Odd or Non-Int
cubed

39. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
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
( (Last - First) / Increment ) + 1
Axiom X.
Change / Original Formula?

40. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Odd or Non-Int
Decimals/Percents
Even and Odd
Some integer/Some Power of 10

41. Unit Profit = ?
How the Last Digit Shortcut works
rate
Sale Price - Unit Cost
Increases the value.

42. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
fraction or broken number
acute angle
Step 1 of Converting mixed numbers to improper fractions
the same point on the number line

43. Is equal to zero. 0 x a = 0
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
When the addends have the same sign both + or both -
Being divided by a power of 10
Zero multiplied by any value

44. An eight-sided polygon
Sale Price - Unit Cost
Whole
Increases the value.
octagon

45. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
quotient
Even or Non-Int
UnitPrice ($/unit) x Qty.Purchas'd (units)

46. When will a decimal terminate and why?
divisor
Even
when there are explicit or implicit equations in the problem:
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

47. The distance around a figure.
Axiom III.
Inequality
perimeter
Sale Price - Unit Cost

48. Change/Original = New
Unknown quantities
Axiom IV.
Percent Change
circumference

49. Two numbers listed in a specific order; it describes a point on the coordinate graph
ordered pair
Odd or Non-Int
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Step 2 of Converting Improper Fractions to Mixed Numbers

50. A ratio that shows the cost per unit of measure
common denominator
unit ratio
Axiom VII.
Same units

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CLEP General Mathematics: Arithmetic Basics

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