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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 value that combines a whole number and a fractional amount
mixed number
Unknown quantities
farther to the left on the number line
A sum of 2 primes is Odd

2. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
theorem
62.5%
lowercase letters

3. The sum of a group of numbers divided by the number of numbers. Also known as the average.
mixed fractions
mean
Shift DP 2 places right
'five squared'

4. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Multitude
The Decimal Numbering System
unit ratio
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.

5. Is equal to zero. 0 x a = 0
Zero multiplied by any value
(Last - First + 1)
Alternative to the algebraic manipulation method to solving a VIC
contains only a single number

6. 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 to use fractions
complementary angles
To add integers that have opposite signs:
When the addends have opposite signs one is + and the other is -

7. A polygon with five sides
pentagon
right triangle
Decreases
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!

8. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
Unit Price x Qty. Sold
A minus sign ( - ) is used for two entirely different purposes:
To add integers that have opposite signs:
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.

9. What is the formula for: The Area of a Triangle ?
2
A = (Base x Height) / 2 - A = (BH)/2
factors of the multiplication operation
greatest common factor (GCF)

10. 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
parallelogram
Multitude
Being divided by a power of 10
congruent

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

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12. Two angles whose sum is 180 degrees
proper fractions
supplementary angles
roots of numbers
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

13. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
enclosing the numbers in a pair of vertical lines | |
Sum of Interior Angles of a Polygon: (n - 2) x 180
( (Last - First) / Increment ) + 1
pi

14. A number that is not a prime number is called a
angle
rectangle
Computation
composite number

15. Multiply both the numerator and denominator by the same integer value.
whether the addends have the same sign or opposite signs
To convert any fraction to higher terms
Non-Int
Revenue ($) - Cost ($)

16. A triangle with one right angle
right triangle
Alternative to the algebraic manipulation method to solving a VIC
like fractions
percent

17. The sum of a group of numbers divided by the number of numbers; also known as the average
both integers are positive or both are negative
mean
Even - Odd or Non-Int
divisor

18. The smallest multiple that two or more numbers have in common
1 and itself
Homogenous or Heterogenous
A plus sign (+) is used for two entirely different purposes:
least common multiple (LCM)

19. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
squared
One... the number 2
To add integers that have the same sign both positive or both negative:
Always completed first

20. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
theorem
To make sure to solve for Both cases.
0.625
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

21. The numerator is smaller than the denominator
Step 2 of Converting mixed numbers to improper fractions
62.5%
proper fraction
Even

22. A number that when multiplied by itself results in the original number
Multitudes and Magnitudes
square root
Any value multiplied by one
Inserting a zero at the left end of a whole number

23. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
supplementary angles
Species
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
contains only a single number

24. A polygon that has four sides.
inverse
Composite number
quadrilateral
0

25. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
mode
area
Is zero
Relative multitude

26. Any whole number can be expressed in terms of the
Number
mean
product
To add integers that have the same sign both positive or both negative:

27. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
Alternative to the algebraic manipulation method to solving a VIC
probability
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
Whole Numbers

28. 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.
proper fraction
quotient
composite number
Even

29. What are the properties of the diagonals of a Rhombus?
Even
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
exponent
Alternative to the algebraic manipulation method to solving a VIC

30. Two angles whose sum equals 90 degrees.
Unit Cost + Markup
complementary angles
To add integers that have the same sign both positive or both negative:
factor

31. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Decreases
1 - (y/100)
Even
x-coordinate

32. The upper number in a fraction is the
x = (+-) a
Revenue ($) - Cost ($)
numerator
Long Division

33. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

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34. 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
proper fraction
squared
product
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.

35. The action of the mind whereby a quantity is measured by Unity or a Unit.
pyramid
Computation
order of operations
both integers are positive or both are negative

36. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
There are two parts in the procedure for subtracting signed integers:
ratio
mixed fractions
complementary angles

37. Change + - Original = New
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
Change / Original Formula?
prism
Revenue ($) - Cost ($)

38. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
farther to the right on the number line.
y-axis
they have the same absolute value

39. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Sum of Interior Angles of a Polygon: (n - 2) x 180
Even
Different Units
supplementary angles

40. Species of Quantities are signified by
lowercase letters
To square an equation to solve it
quadrant
Composite number

41. 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.
the denominator of the original improper fraction
Change + - Original = New
Odd
Same units

42. When will a decimal Not terminate and why?
square root
Odd
percent
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

43. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
Mathematics
Proof
radius
When numbers do not divide evenly

44. The ratio of integers that results in a terminating decimal
How the Last Digit Shortcut works
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Some integer/Some Power of 10
expression

45. Change / Original Formula
Change + - Original = New
Wage Rate ($ per hr) x Hrs worked
The Decimal Numbering System
inverse operations

46. Is Always perpendicular (at 90 deg. to) the base!
Axiom I.
quotient
Step 2 of Converting Improper Fractions to Mixed Numbers
The height of a triangle

47. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
y-coordinate
Inserting a zero at the right end of a whole number
Original + Change = New Change/Original = Percent Change
inverse

48. The result of the multiplication is called the
2
The bottom side of the triangle
The height of a triangle
product

49. Reducing fractions is
Step 2 of Converting Improper Fractions to Mixed Numbers
y-coordinate
dividing the numerator and denominator by the same number
The rule for adding negative integers is the same as the rule for adding positive integers:

50. In a group of values - the value that occurs most often.
ratio
To add integers that have opposite signs:
mode
Composite number