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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. Even X Even = ? ... and is div. by ?
Axiom IX.
Even div. by 4
When the addends have opposite signs one is + and the other is -
reflection

2. The number being multiplied is called the
simplify
common denominator
diameter
multiplicand

3. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To square an equation to solve it
exponent
right triangle
A plus sign (+) is used for two entirely different purposes:

4. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Terminating decimal
sample
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
equation

5. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
sample
supplementary angles
exactly the same portion

6. 1/2 - 1/3 - 2/3 - -5/8
prism
Adding negative integers will always produce a negative sum
When the addends have opposite signs one is + and the other is -
proper fractions

7. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
Adding negative integers will always produce a negative sum
equilateral triangle
putting that number over 1

8. The action of the mind whereby a quantity is measured by Unity or a Unit.
unit ratio
Zero (0)
contains only a single number
Computation

9. Profit = ?
parallelogram
Revenue ($) - Cost ($)
Evaluating Powers With Negative Exponents
Being divided by a power of 10

10. When the factors of a number are all prime numbers - the factors are said to be the
divisor
When numbers do not divide evenly
Every integer between 1 and X - inclusive - must be a factor of X
prime factors

11. The two kinds of Quantity are
composite number
Number
hexagon
Multitudes and Magnitudes

12. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Inserting a zero at the right end of a whole number
A = (Base x Height) / 2 - A = (BH)/2
pi
Every integer between 1 and X - inclusive - must be a factor of X

13. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
prime factorization
Unknown quantities
Decimals/Percents

14. When will a decimal terminate and why?
Both
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
A = (D1 x D2) / 2
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

15. The upper number in a fraction is the
Absolute and Relative
numerator
exactly the same portion
cross product

16. A triangle with one right angle
right triangle
The concept of trading decimal places and how it works
equal to 1 divided by that number with a positive exponent
factor

17. Reversed position or direction
y-axis
lowest terms
inverse
To add integers that have the same sign (both positive or both negative):

18. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
When you are absolutely sure the variable or expression <> 0
quadrilateral
composite number
Power notation

19. Two angles whose sum is 180 degrees
Inserting a zero at the left end of a whole number
Known quantities
supplementary angles
one is positive and the other is negative

20. The Only possible factors for a prime number are
Magnitude
Multitude
1 and itself
2 and/or 5 only

21. Quantities which are both equal to one and the same third are equal to one another.
acute angle
0
Axiom III.
equilateral triangle

22. The lower number in a fraction is the
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
congruent
denominator
improper fractions

23. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
Odd
Number
numerator
prism

24. Two numbers are said to be equal (=) when they are at
Homogenous or Heterogenous
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
the same point on the number line
Is zero

25. An angle that measures 90 degrees
probability
1 - (y/100)
right angle
they have the same absolute value

26. Adding integers that have opposite signs means
lowercase letters
Whole Numbers
one is positive and the other is negative
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

27. The vertical number line of a coordinate graph
y-axis
obtuse angle
putting that number over 1
To add integers that have the same sign both positive or both negative:

28. Is Always perpendicular (at 90 deg. to) the base!
Even and Odd
straight angle
The height of a triangle
0

29. A value such as 6^3 can described as

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30. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
proper fractions
Proof
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.

31. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
vertex (vertices - plural)
Step 1 of Converting Improper Fractions to Mixed Numbers
multiplier
circumference

32. The largest integer that can be divided evenly into both the numerator and denominator.
proper fraction
Aliquot Part
Reducing by the Largest Common Factor (LCF)
When the addends have opposite signs one is + and the other is -

33. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
when there are explicit or implicit equations in the problem:
Is equal to the original value
product
supplementary angles

34. A known quantity we refer to as One.
Unity - or a Unit
Even and Odd
To add integers that have opposite signs:
factor

35. Change + - Original = New
Change / Original Formula?
Even or Non-Int
square root
Unity - or a Unit

36. A number that is a factor of two or more numbers.
equation
common factor
Whole
Odd

37. Operations enclosed in a sign of grouping
integer or whole number
UnitPrice ($/unit) x Qty.Purchas'd (units)
scalene triangle
Always completed first

38. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
Percent Change
Negative-value integers
range
Species

39. 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
common factor
The Ratio of Any two of the following: Original - Change and New
Step 2 of Converting Improper Fractions to Mixed Numbers
1 and itself

40. Decreasing the Denominator of a fraction Increases/Decreases the value?
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
dividing the numerator and denominator by the same number
Increases the value.

41. A ratio that shows the cost per unit of measure
'five squared'
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.
unit ratio
fraction or broken number

42. Rules that tell which steps to follow when solving an expression.
mean
Sum of Interior Angles of a Polygon: (n - 2) x 180
order of operations
Even or Non-Int

43. Adding integers that have the same sign means
denominator
squared
inverse
both integers are positive or both are negative

44. One of the four regions formed by the intersection of the axes of a coordinate graph
( (Last - First) / Increment ) + 1
Adding negative integers will always produce a negative sum
Even
quadrant

45. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
When the addends have opposite signs one is + and the other is -
The concept of trading decimal places and how it works
More

46. The result of the division called the
they have the same 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
quotient
Known (Given) and Unknown (Sought)

47. Any number with an exponent of 0
Axiom II.
equal to 1
Magnitude at Rest and Magnitude in Motion
expression

48. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
supplementary angles
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
x-coordinate
When the addends have the same sign both + or both -

49. The result of dividing one number by another; the solution to a division problem
Sale Price - Unit Cost
mixed number
reciprocal
quotient

50. Odd x ? = Even
Even
0.625
mode
Terminating decimal