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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. The result of the division called the
Species
There are two parts in the procedure for subtracting signed integers:
quotient
lowest terms

2. An eight-sided polygon
ordered pair
octagon
Axiom III.
To add integers that have the same sign both positive or both negative:

3. The method for indicating the power of a number
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
mean
obtuse angle
Power notation

4. Part of the population that is studied to find the characteristics of the whole population.
percent
Unit Cost + Markup
Original + Change = New Change/Original = Percent Change
sample

5. A ratio that shows the cost per unit of measure
Same units
The bottom side of the triangle
unit ratio
Inequality

6. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
product
improper fraction
Number Systems
simplify

7. A mirror image of a figure shown over a line of reflection
Positive-value integers
reflection
Mathematics
improper fraction

8. Species are distinguished into
mixed fraction
Wage Rate ($ per hr) x Hrs worked
Known (Given) and Unknown (Sought)
prime number

9. To make a fraction easier to work with by taking out common factors
the Complement of that part to the whole
simplify
To convert any fraction to higher terms
mixed number

10. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
A minus sign ( - ) is used for two entirely different purposes:
Axiom V.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
fraction or broken number

11. 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
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
When to use the Heavy Division Shortcut - and how to do it
Odd
square root

12. Includes an integer as well as a fractional part
mixed number
percent
square root
Known (Given) and Unknown (Sought)

13. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
multiplicand
prism
straight angle

14. The exact procedure for adding signed integers depends upon
Sale Price - Unit Cost
sum
greatest common factor (GCF)
whether the addends have the same sign or opposite signs

15. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
Magnitude at Rest and Magnitude in Motion
supplementary angles
higher terms
x = (+-) a

16. The Only possible factors for a prime number are
prism
1 and itself
There are two parts in the procedure for subtracting signed integers:
Decimals/Percents

17. Lines in the same plane that do not intersect. The symbol //
Positive-value integers
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
parallel lines
hexagon

18. A triangle with sides of different lengths and no two angles are the same.
radius
scalene triangle
least common multiple (LCM)
simplify

19. A number is increased by 25%... what must you reduce the new number by to get the old number again?
roots of numbers
unit ratio
Axiom VII.
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

20. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Step 1 of Converting Improper Fractions to Mixed Numbers
Sum of Interior Angles of a Polygon: (n - 2) x 180
Quantity
exactly the same portion

21. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
roots of numbers
change the operation from subtraction to addition
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
scalene triangle

22. The vertical number line of a coordinate graph
Known (Given) and Unknown (Sought)
diameter
y-axis
Negative-value integers

23. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
UnitPrice ($/unit) x Qty.Purchas'd (units)
Multitude
mixed fractions
squared

24. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Aliquot Part
improper fraction
Quantity is expressed
The sum of all the integers from 20 to 100 - inclusive

25. 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.
integer or whole number
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
prime factorization
Unit Price x Qty. Sold

26. A Polygon is a closed shape formed by
Line Segments
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
lowercase Variables
combination of addition and subtraction

27. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign both positive or both negative:
When the addends have the same sign both + or both -
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
Aliquant Part

28. The distance around a circle (the perimeter of a circle).
referred to the same Unit
circumference
Axiom I.
right triangle

29. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Reducing: The Brute-Force Method
A = (Base x Height) / 2 - A = (BH)/2
base
lowest terms

30. When working with nested signs of grouping
product
always clear the innermost groups first
Equal
fraction or broken number

31. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
Evaluating Powers With Negative Exponents
rhombus
5/8
Revenue ($) - Cost ($)

32. What are the rules for picking numbers in VICS?
To add integers that have opposite signs:
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
Odd or Non-Int
simplify

33. The largest single factor for two or more numbers.
greatest common factor (GCF)
A = (D1 x D2) / 2
always clear the innermost groups first
Even and Odd

34. Two numbers are said to be equal (=) when they are at
diameter
mean
the same point on the number line
common denominator

35. The Sum of n consecutive integers is divisible by n if n is
roots of numbers
Odd
vertex (vertices - plural)
octagon

36. The difference between the least and greatest values in a set of numbers
quotient
range
equilateral triangle
2

37. Area of a Rhombus is?
polygon
A = (D1 x D2) / 2
0.625
Odd

38. What are the only prime factors that a fraction resulting in a terminating decimals have?
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
2 and/or 5 only
Axiom X.
mode

39. 'y percent less than' = ?
1 - (y/100)
Negative-value integers
base
common factor

40. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
product
mean
scale drawing
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

41. Operations enclosed in a sign of grouping
Always completed first
There are two parts in the procedure for subtracting signed integers:
least common multiple (LCM)
x-axis

42. By the first letters of the alphabet (a - b - c - d - etc..)
Axiom IX.
Unknown quantities
inverse
Fractions allow you to plot values between whole numbers and integers.

43. Percent Decrease Formula ?
like fractions
Original x (1 - x/100) = New
Subtracting Signed Integers
commutative law of multiplication

44. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Quantity is expressed
product
commutative law of multiplication
Even or Non-Int

45. A whole number that has only one set of factors - itself and 1.
To add integers that have opposite signs:
ordered pair
prime number
Magnitude at Rest and Magnitude in Motion

46. Original x (1 - x/100) = New
Wage Rate ($ per hr) x Hrs worked
Percent Decrease Formula
Quantity is expressed
square root

47. 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
Subtracting Signed Integers
Evaluating Powers With Negative Exponents
Original x (1 - x/100) = New
Same units

48. By the last letters (u - x - y - etc.)
Negative-value integers
congruent
equivalent
Known quantities

49. Breaking down a composite number until all of the factors are prime
pentagon
prime factorization
Line Segments
whether the addends have the same sign or opposite signs

50. How many Even primes are there?
One... the number 2
Inequality
Sum of Interior Angles of a Polygon: (n - 2) x 180
mean