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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 four Mathematical arts are:
A minus sign ( - ) is used for two entirely different purposes:
Arithmetic - Music - Geometry and Astronomy
Axiom IV.
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

2. Two numbers are said to be equal (=) when they are at
Magnitude at Rest and Magnitude in Motion
the same point on the number line
acute angle
Original x (1 - x/100) = New

3. A quadrilateral with one pair of parallel sides
trapezoid
Any value multiplied by one
Percent Decrease Formula
median

4. The distance around a figure
equation
Even - Odd or Non-Int
perimeter
Unit Cost + Markup

5. Having the same size and shape
congruent
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
improper fraction
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

6. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Composite number
x-coordinate
Whole Numbers
2^3 = 8

7. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
A minus sign ( - ) is used for two entirely different purposes:
mixed fraction
Long Division
Change / Original Formula?

8. Adding integers that have opposite signs means
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Percent Change
Axiom II.
one is positive and the other is negative

9. A parallelogram with four right angles
quadrant
rectangle
Some integer/Some Power of 10
expression

10. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
fraction or broken number
expression
quotient
Species

11. The ratio of a number to 100 (per one hundred); the symbol %
5/8
x = (+-) a
percent
combination of addition and subtraction

12. What is the formula forCounting consecutive multiples?
when there are explicit or implicit equations in the problem:
Even - Odd or Non-Int
Whole Numbers
( (Last - First) / Increment ) + 1

13. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
y-axis
Original + Change = New Change/Original = Percent Change
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.
product

14. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Every integer between 1 and X - inclusive - must be a factor of X
Any value multiplied by one
The rule for adding negative integers is the same as the rule for adding positive integers:
y-coordinate

15. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
pi
UnitPrice ($/unit) x Qty.Purchas'd (units)
More
Axiom VII.

16. The difference between the least and greatest values in a set of numbers
higher terms
Original x (1 - x/100) = New
A minus sign ( - ) is used for two entirely different purposes:
range

17. A polygon with five sides
Axiom VIII.
supplementary angles
pentagon
Sum of Interior Angles of a Polygon: (n - 2) x 180

18. 0 to any power is equal to
unit ratio
When to use the Heavy Division Shortcut - and how to do it
0
quotient

19. The largest single factor for two or more numbers.
before solving
greatest common factor (GCF)
congruent
x-axis

20. Method: convert Decimal to Percent?
2 and/or 5 only
Shift DP 2 places right
before solving
Axiom VI.

21. 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.
Magnitude
prism
y-axis

22. When working with nested signs of grouping
percent
always clear the innermost groups first
product
Decreases

23. Any number with an exponent of 1
composite number
equal to itself.
fraction or broken number
Quantity is expressed

24. A number that tells how many times the base is multiplied by itself
exponent
vertex (vertices - plural)
common factor
congruent

25. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
62.5%
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Even or Non-Int
median

26. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
product
mixed fraction
Sum of Interior Angles of a Polygon: (n - 2) x 180
Magnitude

27. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
trapezoid
Even and Odd
Sum of Interior Angles of a Polygon: (n - 2) x 180

28. Change + - Original = New
Change / Original Formula?
prime number
Unity - or a Unit
parallelogram

29. An angle measuring more than zero degrees and less than 90 degrees
the denominator of the original improper fraction
squared
acute angle
2 and/or 5 only

30. Switch to a number-picking strategy
least common multiple (LCM)
dividing the numerator and denominator by the same number
Reducing fractions
Alternative to the algebraic manipulation method to solving a VIC

31. To indicate the subtraction operation - to indicate a negative integer value
Magnitude
hexagon
A minus sign ( - ) is used for two entirely different purposes:
divisor

32. Adding integers that have the same sign means
both integers are positive or both are negative
Zero multiplied by any value
More
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

33. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
range
integer or whole number
lowest terms
Even

34. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
quadrilateral
Even
proportion

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

36. Is equal to the original value. a x 1 = 1
Any value multiplied by one
Decimals/Percents
vertex (vertices - plural)
hexagon

37. The whole-number part of the mixed number is the whole-number part of the
Even
rhombus
quotient
Quantity

38. When will a decimal terminate and why?
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Arithmetic - Music - Geometry and Astronomy
like fractions
Terminating decimal

39. An angle that measures 90 degrees
prime number
right angle
Odd
axiom

40. Basic Number Properties and elementary operations.
Number Systems
equal to 1
lowest terms
median

41. The sum of a group of numbers divided by the number of numbers. Also known as the average.
ordered pair
mean
least common multiple (LCM)
x-coordinate

42. The Only possible factors for a prime number are
Original + Change = New Change/Original = Percent Change
1 and itself
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
reduced fraction

43. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
one is positive and the other is negative
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
Axiom I.
Odd

44. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Reducing fractions
lowest terms
product
1

45. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
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
To make sure to solve for Both cases.
parallelogram
Known quantities

46. Any whole number can be expressed in terms of the
Quantity
absolute value
product
When the addends have the same sign both + or both -

47. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
rate
Same units
A = (D1 x D2) / 2
prime number

48. An equation stating that two ratios are equal
simplify
Different Units
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
proportion

49. 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
When the addends have the same sign both + or both -
referred to Unity in the same way
exactly the same portion
When to use fractions

50. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
Homogenous or Heterogenous
A = (Base x Height) / 2 - A = (BH)/2
Odd
The Ratio of Any two of the following: Original - Change and New