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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 parallelogram with all sides equal and congruent
prism
integer or whole number
Even
rhombus

2. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Axiom III.
polygon
Is equal to the original value
prime factors

3. Odd / Even = ? e.g. 9/6 = 1.5
equation
Non-Int
To add integers that have opposite signs:
Fractions allow you to plot values between whole numbers and integers.

4. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
To make sure to solve for Both cases.
before solving
mean
'five squared'

5. The result of the multiplication is called the
product
median
Unit Cost + Markup
Shift DP 2 places right

6. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
radius
Greater
Zero (0)

7. A statement that needs to be demonstrated and is called in Latin demonstrandum.
Even
theorem
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
'six cubed'

8. A value that combines a whole number and a fractional amount
Axiom VI.
unit ratio
mixed number
Known (Given) and Unknown (Sought)

9. The ratio of a number to 100 (per one hundred); the symbol %
Odd or Non-Int
simplify
percent
least common multiple (LCM)

10. Profit = ?
always clear the innermost groups first
Shift DP 2 places right
radius
Revenue ($) - Cost ($)

11. Quantities which are both equal to one and the same third are equal to one another.
Sale Price - Unit Cost
vertex (vertices - plural)
Axiom III.
the same point on the number line

12. A whole number that has only one set of factors - itself and 1.
Equal
prime number
scale drawing
simplify

13. In a division problem - the number that an amount is divided by
Power notation
prism
divisor
Unity - or a Unit

14. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
putting that number over 1
diameter
prism
complementary angle

15. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
(Last - First + 1)
product
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
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

16. Even X Even = ? ... and is div. by ?
scale drawing
2 and/or 5 only
Even div. by 4
( (Last - First) / Increment ) + 1

17. A sign of grouping can be omitted when it
Unknown quantities
contains only a single number
Quantity is expressed
Carry the 10's digit of the product to the top of the 10's column of factors.

18. Rules that tell which steps to follow when solving an expression.
order of operations
referred to the same Unit
To square an equation to solve it
sample

19. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Positive-value integers
lowest terms
Odd
x-coordinate

20. What is the only Even prime number?
Non-Int
2
one is positive and the other is negative
2^3 = 8

21. A triangle with one right angle
right triangle
Every integer between 1 and X - inclusive - must be a factor of X
equal to itself.
Unit Price x Qty. Sold

22. A number is increased by 25%... what must you reduce the new number by to get the old number again?
order of operations
When numbers do not divide evenly
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
obtuse angle

23. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
( (Last - First) / Increment ) + 1
Inserting a zero at the left end of a whole number
commutative law of multiplication
the denominator of the original improper fraction

24. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
Converting mixed numbers to improper fractions.
The rule for adding negative integers is the same as the rule for adding positive integers:
Absolute and Relative
one is positive and the other is negative

25. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Odd
proper fraction
integer values
median

26. A solid figure with two congruent and parallel circular bases
circumference
cylinder
whether the addends have the same sign or opposite signs
unit ratio

27. The total of two or more numbers being added
'six cubed'
sum
Number
'five squared'

28. The two kinds of parts
Aliquot and Aliquant Parts
common denominator
product
y-coordinate

29. A mirror image of a figure shown over a line of reflection
reflection
Reducing: The Brute-Force Method
difference
denominator

30. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
diameter
exactly the same portion
y-coordinate
improper fraction

31. The base of a triangle refers to?
multiplier
Original x (1 - x/100) = New
The bottom side of the triangle
Arithmetic - Music - Geometry and Astronomy

32. If 2 numbers are OPPOSITES of each other
multiplier
roots of numbers
they have the same absolute value
To find out - easily - if one fraction is bigger than another

33. The numerator is greater than - or equal to - the denominator
improper fraction
Odd
Parts
Positive-value integers

34. Method: convert Percent to Decimal?
obtuse angle
To square an equation to solve it
Shift DP 2 places left
Axiom IV.

35. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
x-coordinate
polygon
Even - Odd or Non-Int
( (Last - First) / Increment ) + 1

36. Cross-multiply
Inserting a zero at the left end of a whole number
To find out - easily - if one fraction is bigger than another
diameter
vertex (vertices - plural)

37. One number is said to be greater than (>) another when it is
difference
farther to the right on the number line.
Line Segments
prism

38. Change + - Original = New
To find out - easily - if one fraction is bigger than another
0
median
Change / Original Formula?

39. 3 ways to solve an absolute value inequality
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
Converting mixed numbers to improper fractions.
numerator
To convert any fraction to higher terms

40. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
The bottom side of the triangle
A sum of 2 primes is Odd
Is zero
fraction or broken number

41. The vertical number line of a coordinate graph
y-axis
Axiom V.
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
Some integer/Some Power of 10

42. The distance around a circle (the perimeter of a circle).
circumference
When numbers do not divide evenly
always clear the innermost groups first
right angle

43. The whole-number part of the mixed number is the whole-number part of the
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.
quotient
factoring
area

44. 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.
perimeter
vertex (vertices - plural)
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Even

45. The exact procedure for adding signed integers depends upon
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.
whether the addends have the same sign or opposite signs
rhombus
prime factors

46. The figure formed when two rays meet at a common endpoint called a vertex.
angle
(Last - First + 1)
Aliquot and Aliquant Parts
product

47. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
denominator
'six cubed'
Unknown quantities
factor

48. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
the Complement of that part to the whole
area
Parts
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

49. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Aliquot and Aliquant Parts
prime factors
To square an equation to solve it
always clear the innermost groups first

50. 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
integer or whole number
acute angle
composite number
When to use fractions