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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. A polygon with six sides.
More
factors of the multiplication operation
Percent Change
hexagon

2. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
Axiom III.
right triangle
integer values
The Ratio of Any two of the following: Original - Change and New

3. Species are distinguished into
(Last - First + 1)
congruent
Known (Given) and Unknown (Sought)
isosceles triangle

4. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
right triangle
Change + - Original = New
Axiom VI.
the denominator of the original improper fraction

5. The Only possible factors for a prime number are
cross product
congruent
1 and itself
Shift DP 2 places left

6. When working with nested signs of grouping
always clear the innermost groups first
cubed
pyramid
right angle

7. An angle measuing more than 0 degrees and less than 90 degrees
acute angle
Axiom II.
equilateral triangle
complementary angle

8. The number being divided is called the
Even
dividend
the denominator of the original improper fraction
trapezoid

9. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
The sum of all the integers from 20 to 100 - inclusive
When to use fractions
mixed fractions

10. A triangle with one right angle
exponent
right triangle
The height of a triangle
product

11. 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 intege
1
absolute value
Known quantities
There are two parts in the procedure for subtracting signed integers:

12. 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
order of operations
Step 2 of Converting Improper Fractions to Mixed Numbers
lowercase letters
isosceles triangle

13. The denominator of the fraction part of the mixed number is
the denominator of the original improper fraction
denominator
Even and Odd
mode

14. Unit Profit = ?
quadrilateral
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?
Sale Price - Unit Cost
radius

15. A sign of grouping can be omitted when it
quadrant
contains only a single number
Odd
To square an equation to solve it

16. Rules that tell which steps to follow when solving an expression
reflection
numerator
order of operations
simplify

17. TotalCost($) = ?

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18. A triangle with sides of different lengths and no two angles are the same.
vertex (vertices - plural)
scalene triangle
A = (Diagonal1 x Diagonal2) / 2
Known (Given) and Unknown (Sought)

19. 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
acute angle
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
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
x/100

20. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
To find out - easily - if one fraction is bigger than another
Odd
The bottom side of the triangle
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

21. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
divisor
mixed fraction
integer or whole number
whether the addends have the same sign or opposite signs

22. An angle that measures 180 degrees
Axiom IX.
prism
congruent
straight angle

23. What are the rules for picking numbers in VICS?
2
Being divided by a power of 10
quotient
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

24. Reversed position or direction
inverse
denominator
from left to right
reduced fraction

25. A number is increased by 25%... what must you reduce the new number by to get the old number again?
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
Axiom I.
Wage Rate ($ per hr) x Hrs worked
base

26. What is the formula for: The Area of a Triangle ?
Axiom VIII.
Even
A = (Base x Height) / 2 - A = (BH)/2
ordered pair

27. What is the increment of a set of consecutive integers?
Shift DP 2 places left
1
Even
Parts

28. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
putting that number over 1
Subtracting Signed Integers
improper fractions
Odd

29. The horizontal number line of a coordinate graph
composite number
To add integers that have the same sign both positive or both negative:
x-axis
mode

30. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Change + - Original = New
Sum of Interior Angles of a Polygon: (n - 2) x 180
Power notation
theorem

31. The lower number in a fraction is the
Inequality
denominator
equation
mean

32. Unit Profit = ?
rectangle
To add integers that have opposite signs:
Reducing by the Largest Common Factor (LCF)
Sale Price - Unit Cost

33. The whole-number part of the mixed number is the whole-number part of the
quotient
x = (+-) a
sum
higher terms

34. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Decimals/Percents
5/8
probability
reflection

35. What is the formula forCounting consecutive multiples?
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Even
factoring
( (Last - First) / Increment ) + 1

36. Switch to a number-picking strategy
one is positive and the other is negative
Alternative to the algebraic manipulation method to solving a VIC
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
1

37. What is an evenly-spaced set?
supplementary angles
vertex (vertices - plural)
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Percent Change

38. Adding integers that have the same sign means
composite number
A sum of 2 primes is Odd
both integers are positive or both are negative
complementary angle

39. Surface space that is measured in square units.
area
Original x (1 - x/100) = New
2
proportion

40. No integer (except 1) that divides evenly into both the numerator and denominator.
Alternative to the algebraic manipulation method to solving a VIC
reduced fraction
Negative-value integers
prism

41. Change + - Original = New
numerator
perimeter
Change / Original Formula?
Odd

42. An eight-sided polygon
equal to itself.
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
Odd
octagon

43. The two kinds of Magnitude are
complementary angles
Is zero
Magnitude at Rest and Magnitude in Motion
angle

44. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
the denominator of the original improper fraction
cylinder
Adding negative integers will always produce a negative sum
similar figures

45. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
numerator
y-coordinate
Unity - or a Unit
common factor

46. The exact procedure for adding signed integers depends upon
To add integers that have the same sign both positive or both negative:
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
whether the addends have the same sign or opposite signs
product

47. Surface space that is measured in square units
area
Even div. by 4
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
y-axis

48. Always perform combinations of multiplication and division before
combination of addition and subtraction
Inserting a zero at the left end of a whole number
Change + - Original = New
both integers are positive or both are negative

49. The largest single factor for two or more numbers.
When the addends have the same sign both + or both -
Positive-value integers
greatest common factor (GCF)
Multitudes and Magnitudes

50. 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
parallelogram
multiplier
'five squared'
Subtracting Signed Integers