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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. Any number with an exponent of 1
equal to itself.
commutative law of multiplication
Some integer/Some Power of 10
Step 2 of Converting mixed numbers to improper fractions

2. The whole-number part of the mixed number is the whole-number part of the
rhombus
quotient
pi
area

3. A whole number can be expressed as an improper fraction by
sum
When numbers do not divide evenly
scalene triangle
putting that number over 1

4. Always try to Factor a quadratic equation
When the addends have opposite signs one is + and the other is -
1
before solving
common factor

5. The Sum of n consecutive integers is divisible by n if n is
ratio
( (Last - First) / Increment ) + 1
prime number
Odd

6. 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.
common denominator
exponent
Zero multiplied by any value
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

7. An angle measuring more than 90 degrees and less than 180 degrees
quotient
obtuse angle
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
0

8. Factors may be multiplied in any order.
commutative law of multiplication
rate
mixed fraction
when there are explicit or implicit equations in the problem:

9. Adding integers that have the same sign means
rectangle
Axiom VII.
Equal
both integers are positive or both are negative

10. The upper number in a fraction is the
numerator
reflection
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
octagon

11. The result of multiplying two or more numbers.
product
Percent Change
circumference
62.5%

12. Odd / Even = ? e.g. 9/6 = 1.5
hexagon
When to use the Heavy Division Shortcut - and how to do it
whether the addends have the same sign or opposite signs
Non-Int

13. Can have many different combinations of factors
A sum of 2 primes is Odd
quadrilateral
Even div. by 4
Composite number

14. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
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
Revenue ($) - Cost ($)
prime factorization
lowercase Variables

15. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Terminating decimal
Both
scale drawing
improper fraction

16. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
prime number
Parts
Even
dividing the numerator and denominator by the same number

17. 0 to any power is equal to
0
quotient
Axiom II.
mixed number

18. The result of dividing one number by another; the solution to a division problem
quotient
prism
parallel lines
Every integer between 1 and X - inclusive - must be a factor of X

19. The whole is more or greater than its part.
change the operation from subtraction to addition
prime number
Axiom IV.
diameter

20. An eight-sided polygon
ratio
octagon
Axiom II.
'six cubed'

21. What's the reciprocal of v6 - and why?
( (Last - First) / Increment ) + 1
To make sure to solve for Both cases.
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
x-axis

22. In a group of values - the value that occurs most often.
pyramid
mode
prism
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

23. 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.
Magnitude
The concept of trading decimal places and how it works
Odd
base

24. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Axiom VII.
( (Last - First) / Increment ) + 1
the same point on the number line

25. 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
area
lowest terms
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

26. Is Always perpendicular (at 90 deg. to) the base!
1 - (y/100)
The height of a triangle
before solving
Some integer/Some Power of 10

27. The two kinds of Quantity are
straight angle
Axiom VI.
right triangle
Multitudes and Magnitudes

28. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
Converting Improper Fractions to Mixed Numbers
improper fraction
Reducing: The Brute-Force Method
right triangle

29. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
referred to the same Unit
Step 2 of Converting Improper Fractions to Mixed Numbers
(Last - First + 1)
When numbers do not divide evenly

30. Is equal to zero. 0 x a = 0
composite number
hexagon
Zero multiplied by any value
Converting mixed numbers to improper fractions.

31. A polygon that has four sides
one is positive and the other is negative
product
To square an equation to solve it
quadrilateral

32. To make a fraction easier to work with by taking out common factors
greatest common factor (GCF)
simplify
quadrilateral
polygon

33. Total Earnings ($) = ?
To square an equation to solve it
Wage Rate ($ per hr) x Hrs worked
Mathematics
referred to Unity in the same way

34. Decreasing the Denominator of a fraction Increases/Decreases the value?
right triangle
angle
polygon
Increases the value.

35. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
equilateral triangle
A plus sign (+) is used for two entirely different purposes:
y-coordinate
Subtracting Signed Integers

36. The whole-number system uses only ten characters -0 through 9.
product
right angle
mixed fractions
The Decimal Numbering System

37. When are you allowed to divide by a variable - (or Any expression) ?
One... the number 2
Equality
When you are absolutely sure the variable or expression <> 0
Decreases

38. The largest integer that can be divided evenly into both the numerator and denominator.
2 and/or 5 only
Reducing by the Largest Common Factor (LCF)
Odd
To add integers that have opposite signs:

39. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
area
inverse operations
To add integers that have opposite signs:
Whole

40. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
probability
supplementary angles
median
reduced fraction

41. A number that is a factor of two or more numbers.
y-axis
Homogenous or Heterogenous
common denominator
common factor

42. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Species
Sale Price - Unit Cost
integers
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

43. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
denominator
right triangle
62.5%
Absolute and Relative

44. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
the denominator of the original improper fraction
Axiom I.
simplify
Multitude

45. The process of breaking a number down into its factors is called
factoring
product
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
When to use fractions

46. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
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
Multitudes and Magnitudes
square unit
To make sure to solve for Both cases.

47. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
integer or whole number
multiplier
base
y-axis

48. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Even - Odd or Non-Int
vertex (vertices - plural)
When to use fractions
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

49. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
prime factors
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?
Negative-value integers
change the operation from subtraction to addition

50. Change / Original Formula
Change + - Original = New
1 and itself
denominator
Even

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CLEP General Mathematics: Arithmetic Basics

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