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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
0
Change / Original Formula?
axiom

2. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
(Last - First + 1)
x-coordinate
When numbers do not divide evenly
combination of addition and subtraction

3. Method: convert Decimal to Percent?
The concept of trading decimal places and how it works
farther to the right on the number line.
Shift DP 2 places right
whether the addends have the same sign or opposite signs

4. A ratio that shows the cost per unit of measure
A minus sign ( - ) is used for two entirely different purposes:
unit ratio
acute angle
rectangle

5. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Odd or Non-Int
Decreases
Step 1 of Converting Improper Fractions to Mixed Numbers
'six cubed'

6. A unit for measuring area
circumference
whether the addends have the same sign or opposite signs
square unit
Decreases

7. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Being divided by a power of 10
Odd
A = (Diagonal1 x Diagonal2) / 2
inverse operations

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

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9. A self-evident statement - that is - one that does not need to be demonstrated.
dividend
axiom
Odd
Original + Change = New Change/Original = Percent Change

10. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Greater
quotient
equal to itself.
Sale Price - Unit Cost

11. Is ZERO positive or negative - both - or none?
Both
dividend
Inserting a zero at the right end of a whole number
Arithmetic - Music - Geometry and Astronomy

12. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Step 1 of Converting mixed numbers to improper fractions
Absolute and Relative
2
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

13. An equation stating that two ratios are equal
proportion
Sum of Interior Angles of a Polygon: (n - 2) x 180
Quantity
Sale Price - Unit Cost

14. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
Reducing: The Brute-Force Method
change the operation from subtraction to addition
congruent
probability

15. In a group of values - the value that occurs most often
Step 1 of Converting Improper Fractions to Mixed Numbers
x-axis
squared
mode

16. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
common denominator
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
lowercase letters
common factor

17. Anything that may be increased or diminished
Odd
Quantity
equal to itself.
When the addends have the same sign both + or both -

18. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
theorem
Odd
polygon
Some integer/Some Power of 10

19. What's the reciprocal of v6 - and why?
Sum of Interior Angles of a Polygon: (n - 2) x 180
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
Reducing: The Brute-Force Method
To add integers that have the same sign both positive or both negative:

20. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
Evaluating Powers With Negative Exponents
like fractions
Aliquot Part
pi

21. By the first letters of the alphabet (a - b - c - d - etc..)
Axiom IX.
radius
Unknown quantities
Sale Price - Unit Cost

22. The two kinds of parts
sum
Aliquot and Aliquant Parts
contains only a single number
scalene triangle

23. Why are Even Exponents dangerous?
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
proper fractions
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
scalene triangle

24. When will a decimal Not terminate and why?
improper fraction
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
scalene triangle
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

25. The horizontal number line of a coordinate graph
expression
enclosing the numbers in a pair of vertical lines | |
percent
x-axis

26. Every number is contained in itself once.
The concept of trading decimal places and how it works
Axiom VII.
Fractions allow you to plot values between whole numbers and integers.
Zero (0)

27. Is the disagreement of things in Quantity.
Wage Rate ($ per hr) x Hrs worked
Fractions allow you to plot values between whole numbers and integers.
higher terms
Inequality

28. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
improper fraction
factors of the multiplication operation
Step 1 of Converting Improper Fractions to Mixed Numbers
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

29. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
proper fractions
scale drawing
Axiom VIII.
y-coordinate

30. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
absolute value
Inserting a zero at the left end of a whole number
divisor
To add integers that have opposite signs:

31. ' x percent' = ?
62.5%
x/100
Even
Non-Int

32. A parallelogram with four right angles
The bottom side of the triangle
rectangle
A = (Diagonal1 x Diagonal2) / 2
Every integer between 1 and X - inclusive - must be a factor of X

33. A Polygon is a closed shape formed by
Line Segments
mode
Greater
prime number

34. By the last letters (u - x - y - etc.)
parallelogram
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
Known quantities
before solving

35. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
congruent
factor
quotient
right triangle

36. Species are distinguished into
Being divided by a power of 10
Known (Given) and Unknown (Sought)
mode
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

37. The result of the division called the
pyramid
quotient
product
2^3 = 8

38. A combination of numbers and variables connected by one or more operations signs
factor
product
expression
percent

39. Factors may be multiplied in any order.
Axiom VI.
commutative law of multiplication
combination of addition and subtraction
Line Segments

40. Always perform combinations of multiplication and division before
Reducing fractions
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
combination of addition and subtraction
The height of a triangle

41. Having the same value
exactly the same portion
equivalent
parallelogram
Even

42. An equation stating that two ratios are equal
The sum of all the integers from 20 to 100 - inclusive
proportion
contains only a single number
scale drawing

43. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
improper fractions
range
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
prism

44. Change/Original = New
Is equal to the original value
improper fraction
angle
Percent Change

45. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
Unity - or a Unit
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Long Division
Quantity

46. Total Earnings ($) = ?
Number Systems
dividend
equal to 1 divided by that number with a positive exponent
Wage Rate ($ per hr) x Hrs worked

47. Is equal to zero. 0 x a = 0
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Even
Zero multiplied by any value
To add integers that have the same sign (both positive or both negative):

48. A polygon with six sides.
When the addends have the same sign both + or both -
Inserting a zero at the left end of a whole number
hexagon
2 and/or 5 only

49. To indicate the addition operation- to indicate a positive integer value
perimeter
A plus sign (+) is used for two entirely different purposes:
Relative multitude
order of operations

50. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
dividing the numerator and denominator by the same number
pi
Change + - Original = New
integers

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CLEP General Mathematics: Arithmetic Basics

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