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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 known quantity we refer to as One.
Unity - or a Unit
Reducing fractions
mode
factor

2. The two kinds of parts
dividend
denominator
reduced fraction
Aliquot and Aliquant Parts

3. To indicate the addition operation- to indicate a positive integer value
quotient
Fractions allow you to plot values between whole numbers and integers.
A plus sign (+) is used for two entirely different purposes:
equal to 1 divided by that number with a positive exponent

4. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Increases the value.
Axiom IX.
reduced fraction
Aliquant Part

5. An evenly-spaced set is fully-defined if what is known...?
Wage Rate ($ per hr) x Hrs worked
quadrilateral
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
ratio

6. Is ZERO positive or negative - both - or none?
UnitPrice ($/unit) x Qty.Purchas'd (units)
Both
y-axis
supplementary angles

7. The numerator of the fraction part of the mixed number is the remainder from the
Species
quotient
change the operation from subtraction to addition
Terminating decimal

8. A number that is a multiple of all denominators in a problem.
common denominator
mode
the Complement of that part to the whole
rectangle

9. Has no sign value
order of operations
When the addends have opposite signs one is + and the other is -
Zero (0)
( (Last - First) / Increment ) + 1

10. The amount that remains after one number has been subtracted from another
difference
acute angle
Positive-value integers
mode

11. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
x = (+-) a
Inserting a zero at the right end of a whole number
Decimals/Percents
pyramid

12. Always perform the operations
lowest terms
always clear the innermost groups first
Equality
from left to right

13. A number with only two factors: the number itself and one.
Number Systems
Adding negative integers will always produce a negative sum
Axiom X.
prime number

14. Things are Equal in Multitude when they are
the Complement of that part to the whole
mixed fractions
quotient
referred to Unity in the same way

15. When the product in the 1's column is greater than 9

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16. Zero divided by any whole number (except 0)
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Axiom X.
( (Last - First) / Increment ) + 1
Is zero

17. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
obtuse angle
range
higher terms
Proof

18. The distance around a circle (the perimeter of a circle).
radius
Axiom VI.
quotient
circumference

19. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
scalene triangle
Long Division
polygon
Whole Numbers

20. Includes an integer as well as a fractional part
exponent
mixed fraction
equal to 1 divided by that number with a positive exponent
mixed number

21. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
composite number
Reducing: The Brute-Force Method
prism
Odd or Non-Int

22. The sum of a group of numbers divided by the number of numbers. Also known as the average.
quadrant
mean
Increases the value.
Mathematics

23. Having the same size and shape
acute angle
radius
circumference
congruent

24. Change + - Original = New
Axiom III.
Change / Original Formula?
Revenue ($) - Cost ($)
hexagon

25. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
To square an equation to solve it
To add integers that have opposite signs:
absolute value
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

26. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
Sale Price - Unit Cost
congruent
fraction or broken number
The Decimal Numbering System

27. The sum of a group of numbers divided by the number of numbers; also known as the average
Axiom IV.
before solving
( (Last - First) / Increment ) + 1
mean

28. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
The rule for adding negative integers is the same as the rule for adding positive integers:
2
exponent
Arithmetic - Music - Geometry and Astronomy

29. 1 to any power is equal to
1
parallel lines
divisor
product

30. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
equal to 1 divided by that number with a positive exponent
numerator
always clear the innermost groups first
probability

31. 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.
improper fraction
1 and itself
ratio
Reducing: The Brute-Force Method

32. A ratio that compares two different types of quantities
improper fractions
rate
Equal
Number

33. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
rhombus
Being divided by a power of 10
product
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements

34. The greater any number is in comparison to another - the more equal parts will it contain of that other.
quadrilateral
Even or Non-Int
quadrant
Axiom IX.

35. 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.
prime factorization
higher terms
The height of a triangle
polygon

36. A value that combines a whole number and a fractional amount
Non-Int
mixed number
Sale Price - Unit Cost
The Ratio of Any two of the following: Original - Change and New

37. A polygon with six sides.
To find out - easily - if one fraction is bigger than another
reduced fraction
hexagon
Unity - or a Unit

38. Any value divided by one
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
range
A = (Base x Height) / 2 - A = (BH)/2
Is equal to the original value

39. By the last letters (u - x - y - etc.)
(Last - First + 1)
Known quantities
axiom
numerator

40. The whole is more or greater than its part.
Axiom IV.
Even
integers
x-axis

41. 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
Both
greatest common factor (GCF)
perimeter
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

42. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Known quantities
median
Axiom VI.
right triangle

43. Is Always perpendicular (at 90 deg. to) the base!
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
prime number
The height of a triangle
2^3 = 8

44. Things are Equal in Magnitude when they are
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.
parallelogram
referred to the same Unit
always clear the innermost groups first

45. Adding integers that have the same sign means
both integers are positive or both are negative
Shift DP 2 places left
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
like fractions

46. 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:
reflection
y-axis
proper fraction

47. 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
Sum of Interior Angles of a Polygon: (n - 2) x 180
mean
product

48. Is the agreement of things in Quanity.
To convert any fraction to higher terms
whether the addends have the same sign or opposite signs
Equality
Axiom IX.

49. A comparison of the two values of two numbers
Parts
mean
ratio
Even - Odd or Non-Int

50. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
rhombus
when there are explicit or implicit equations in the problem:
Converting Improper Fractions to Mixed Numbers
Even or Non-Int