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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. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Parts
exponent
To square an equation to solve it
quadrilateral

2. 5/8 --> Decimal ?
Aliquant Part
0.625
Quantity
1 and itself

3. The base of a triangle refers to?
To find out - easily - if one fraction is bigger than another
The bottom side of the triangle
Zero (0)
Known (Given) and Unknown (Sought)

4. Every lesser number is contained in a greater more than once.
always clear the innermost groups first
composite number
percent
Axiom VIII.

5. Expresses fractional parts that are greater than 1.
sample
quotient
change the operation from subtraction to addition
mixed number

6. Multiply both the numerator and denominator by the same integer value.
Change / Original Formula?
To convert any fraction to higher terms
Even or Non-Int
prime factors

7. When working with nested signs of grouping
always clear the innermost groups first
proper fractions
mode
To add integers that have opposite signs:

8. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
probability
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Is zero
multiplier

9. Odd / Even = ? e.g. 9/6 = 1.5
acute angle
Unit Cost + Markup
Non-Int
( (Last - First) / Increment ) + 1

10. What are the 3 main formulaic properties of evenly-spaced sets?
absolute value
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
prime factors

11. Profit = ?
More
Shift DP 2 places left
Revenue ($) - Cost ($)
Every integer between 1 and X - inclusive - must be a factor of X

12. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Parts
Species
y-coordinate
Known (Given) and Unknown (Sought)

13. 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
Positive-value integers
dividend
Percent Change

14. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
The sum of all the integers from 20 to 100 - inclusive
Axiom I.
( (Last - First) / Increment ) + 1
To make sure to solve for Both cases.

15. A combination of numbers and variables connected by one or more operations signs
expression
Both
Non-Int
Change + - Original = New

16. The horizontal number line of a coordinate graph
x-axis
2
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
divisor

17. Any number with an exponent of 1
equal to itself.
mode
Fractions allow you to plot values between whole numbers and integers.
trapezoid

18. 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.
higher terms
Power notation
Percent Decrease Formula
straight angle

19. Rules that tell which steps to follow when solving an expression.
order of operations
quadrilateral
Percent Change
dividend

20. A triangle with one right angle
simplify
When you are absolutely sure the variable or expression <> 0
right triangle
quotient

21. No integer (except 1) that divides evenly into both the numerator and denominator.
reduced fraction
both integers are positive or both are negative
acute angle
More

22. If 2 numbers are OPPOSITES of each other
exponent
they have the same absolute value
Odd
Zero (0)

23. Unit Profit = ?
higher terms
exactly the same portion
Sale Price - Unit Cost
the same point on the number line

24. Surface space that is measured in square units.
Any value multiplied by one
polygon
area
dividend

25. Are those things collected in a whole.
To make sure to solve for Both cases.
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
Parts
Odd

26. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Positive-value integers
integer or whole number
Aliquot and Aliquant Parts
When numbers do not divide evenly

27. Change + - Original = New
commutative law of multiplication
How the Last Digit Shortcut works
Change / Original Formula?
Axiom III.

28. Change/Original = New
percent
Percent Change
Adding negative integers will always produce a negative sum
complementary angles

29. A polygon with six sides.
combination of addition and subtraction
dividend
hexagon
right triangle

30. Where do fractions occur on a number line?
octagon
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
y-axis
Fractions allow you to plot values between whole numbers and integers.

31. The number doing the dividing is called the
divisor
exponent
scale drawing
To convert any fraction to higher terms

32. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
factoring
common denominator
Relative multitude
2

33. Includes an integer as well as a fractional part
Multitude
mixed fraction
Axiom III.
acute angle

34. One number is said to be greater than (>) another when it is
cross product
inverse operations
sample
farther to the right on the number line.

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

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36. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
circumference
median
Original x (1 - x/100) = New
mode

37. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
Step 1 of Converting mixed numbers to improper fractions
Axiom IV.
cross product
common denominator

38. The two kinds of Multitude
scalene triangle
product
Odd
Absolute and Relative

39. The distance around a circle (the perimeter of a circle).
inverse
denominator
2^3 = 8
circumference

40. What is the formula for: The Area of a Triangle ?
A = (Base x Height) / 2 - A = (BH)/2
Known (Given) and Unknown (Sought)
Reducing fractions
Mathematics

41. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
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
Number
Always completed first
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

42. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
ratio
Unit Price x Qty. Sold
multiplier

43. Is equal to the original value. a x 1 = 1
Odd
Any value multiplied by one
ordered pair
lowest terms

44. The figure formed when two rays meet at a common endpoint called a vertex.
angle
median
octagon
prime factors

45. A collection of things taken as a Unity. A bushel of wheat is a whole.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Whole
Shift DP 2 places right
Shift DP 2 places left

46. When will a decimal terminate and why?
Species
2
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
The bottom side of the triangle

47. Species are distinguished into
improper fractions
Inserting a zero at the right end of a whole number
Known (Given) and Unknown (Sought)
mixed number

48. Any whole number can be expressed in terms of the
Proof
product
factoring
Parts

49. A mirror image of a figure shown over a line of reflection
Unity - or a Unit
straight angle
reflection
multiplicand

50. To make a fraction easier to work with by taking out common factors
improper fraction
x-axis
simplify
Odd