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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. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Non-Int
Inserting a zero at the right end of a whole number
inverse
numerator

2. Always perform combinations of multiplication and division before
combination of addition and subtraction
scalene triangle
absolute value
Axiom VII.

3. The Sum of n consecutive integers is divisible by n if n is
similar figures
proper fraction
proper fraction
Odd

4. How many Even primes are there?
A = (Base x Height) / 2 - A = (BH)/2
mixed fraction
Positive-value integers
One... the number 2

5. An eight-sided polygon
To square an equation to solve it
octagon
multiplier
The sum of all the integers from 20 to 100 - inclusive

6. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
More
denominator
Even

7. Things are Equal in Multitude when they are
equal to 1 divided by that number with a positive exponent
Zero multiplied by any value
Decimals/Percents
referred to Unity in the same way

8. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Change / Original Formula?
Odd
Greater

9. The two kinds of Magnitude are
Magnitude at Rest and Magnitude in Motion
cross product
trapezoid
quotient

10. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
Axiom X.
trapezoid
Even
ordered pair

11. Is Always perpendicular (at 90 deg. to) the base!
one is positive and the other is negative
The height of a triangle
Change + - Original = New
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

12. Decreasing the Denominator of a fraction Increases/Decreases the value?
reflection
Increases the value.
improper fractions
proportion

13. What is the formula forCounting consecutive integers?
radius
cross product
(Last - First + 1)
they have the same absolute value

14. 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.
Alternative to the algebraic manipulation method to solving a VIC
Even div. by 4
When the addends have the same sign both + or both -
the Complement of that part to the whole

15. An angle measuring more than 90 degrees and less than 180 degrees
axiom
product
quadrant
obtuse angle

16. Every lesser number is contained in a greater more than once.
Axiom VIII.
prism
exponent
Number

17. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign both positive or both negative:
product
1
improper fraction

18. The formula for the Area of a Rhombus is?
circumference
A = (Diagonal1 x Diagonal2) / 2
parallel lines
simplify

19. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
improper fraction
Subtracting Signed Integers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Increases the value.

20. Is equal to zero. 0 x a = 0
dividend
Even
Zero multiplied by any value
Is zero

21. A unit for measuring area
contains only a single number
square unit
common factor
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.

22. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Sale Price - Unit Cost
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
When to use the Heavy Division Shortcut - and how to do it
dividing the numerator and denominator by the same number

23. Two angles whose sum is 180 degrees
mixed number
Original + Change = New Change/Original = Percent Change
supplementary angles
Subtracting Signed Integers

24. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
improper fraction
Different Units
proper fraction
order of operations

25. Rules that tell which steps to follow when solving an expression
order of operations
2^3 = 8
x-axis
contains only a single number

26. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Aliquot Part
Even
unit ratio
The rule for adding negative integers is the same as the rule for adding positive integers:

27. A number with an exponent of 2 is often said to be
both integers are positive or both are negative
A = (Base x Height) / 2 - A = (BH)/2
Increases the value.
squared

28. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Magnitude
lowest terms
The Decimal Numbering System
change the operation from subtraction to addition

29. Having the same size and shape
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Revenue ($) - Cost ($)
congruent
Aliquot and Aliquant Parts

30. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
Shift DP 2 places right
Even
probability
x-coordinate

31. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
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
2 and/or 5 only
quadrilateral
Reducing: The Brute-Force Method

32. 0 to any power is equal to
0
referred to Unity in the same way
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
inverse

33. The method for indicating the power of a number
congruent
Power notation
diameter
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

34. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
x-axis
product
x-coordinate
simplify

35. Is the agreement of things in Quanity.
least common multiple (LCM)
Equality
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
unit ratio

36. Any number with an exponent of 0
equal to 1
Whole Numbers
equal to 1 divided by that number with a positive exponent
Unit Cost + Markup

37. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
The Ratio of Any two of the following: Original - Change and New
quadrant
Even and Odd
mode

38. Operations enclosed in a sign of grouping
Axiom IV.
Odd
Always completed first
Change + - Original = New

39. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
prime factorization
Even
A minus sign ( - ) is used for two entirely different purposes:
rhombus

40. When will a decimal Not terminate and why?
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Sale Price - Unit Cost
A sum of 2 primes is Odd
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?

41. A known quantity we refer to as One.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Even
Unity - or a Unit
2

42. Original x (1 - x/100) = New
Decreases
the same point on the number line
Percent Decrease Formula
theorem

43. Having the same size and shape
greatest common factor (GCF)
congruent
Even
numerator

44. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
angle
x = (+-) a
diameter
Known (Given) and Unknown (Sought)

45. Where do fractions occur on a number line?
Reducing: The Brute-Force Method
'six cubed'
Fractions allow you to plot values between whole numbers and integers.
x/100

46. In a division problem - it's the number being divided
Converting Improper Fractions to Mixed Numbers
Percent Change
dividend
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

47. A number that is a factor of two or more numbers.
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
common factor
proportion
prism

48. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
straight angle
equal to itself.
The concept of trading decimal places and how it works
pi

49. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
higher terms
composite number
exactly the same portion
Percent Decrease Formula

50. In a group of values - the value that occurs most often
A = (Base x Height) / 2 - A = (BH)/2
Long Division
hexagon
mode