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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. Breaking down a composite number until all of the factors are prime
prime factorization
roots of numbers
multiplicand
There are two parts in the procedure for subtracting signed integers:

2. A quadrilateral with one pair of parallel sides
Multitude
trapezoid
Sale Price - Unit Cost
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.

3. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
More
prime number
quotient
numerator

4. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Known (Given) and Unknown (Sought)
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Same units
octagon

5. 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
right triangle
equal to 1 divided by that number with a positive exponent
Inequality

6. All whole numbers (both positive and negative) and zero.
integers
inverse operations
(Last - First + 1)
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

7. A statement that needs to be demonstrated and is called in Latin demonstrandum.
theorem
x = (+-) a
equivalent
0.625

8. 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
The rule for adding negative integers is the same as the rule for adding positive integers:
Even div. by 4
Subtracting Signed Integers
x/100

9. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
mixed fraction
product
Evaluating Powers With Negative Exponents
Positive-value integers

10. A mathematical sentence that uses an equal sign
Parts
the denominator of the original improper fraction
equation
1

11. Two numbers listed in a specific order; it describes a point on the coordinate graph
1
multiplicand
ordered pair
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

12. What is the formula forCounting consecutive multiples?
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
To add integers that have the same sign both positive or both negative:
( (Last - First) / Increment ) + 1
proper fraction

13. A value such as 6^3 can described as

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14. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
proportion
proper fraction
quotient
Whole Numbers

15. TotalCost($) = ?

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16. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
(Last - First + 1)
How the Last Digit Shortcut works
sample
Even

17. Is the opposite of raising fractions to higher terms.
Even
lowest terms
Any value multiplied by one
Reducing fractions

18. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Step 1 of Converting mixed numbers to improper fractions
The concept of trading decimal places and how it works
Even and Odd
Equality

19. Unit Profit = ?
theorem
composite number
Sale Price - Unit Cost
both integers are positive or both are negative

20. Method: convert Percent to Decimal?
Shift DP 2 places left
dividend
pyramid
Composite number

21. The study of quantity
improper fractions
Step 2 of Converting Improper Fractions to Mixed Numbers
Mathematics
farther to the right on the number line.

22. Method: convert Decimal to Percent?
To convert any fraction to higher terms
numerator
angle
Shift DP 2 places right

23. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
When to use the Heavy Division Shortcut - and how to do it
Converting mixed numbers to improper fractions.
circumference
factor

24. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Step 1 of Converting Improper Fractions to Mixed Numbers
equal to itself.
Change / Original Formula?
right triangle

25. Why are Even Exponents dangerous?
product
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Odd
percent

26. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
Proof
pi
lowercase Variables
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

27. Everything may be assumed as unity.
farther to the right on the number line.
Axiom I.
Sale Price - Unit Cost
Equal

28. Is equal to the original value. a x 1 = 1
angle
composite number
Any value multiplied by one
reduced fraction

29. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
Sale Price - Unit Cost
multiplier
1
simplify

30. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
equivalent
range
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Odd

31. The Sum of n consecutive integers is divisible by n if n is
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Odd
order of operations
2

32. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Original x (1 - x/100) = New
Odd
Relative multitude
To make sure to solve for Both cases.

33. The whole-number system uses only ten characters -0 through 9.
product
Magnitude at Rest and Magnitude in Motion
The Decimal Numbering System
Odd

34. 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
When to use fractions
sum
Positive-value integers
Species

35. Always perform the operations
from left to right
simplify
parallelogram
Always completed first

36. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
quotient
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
The height of a triangle
Odd

37. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
proportion
Step 1 of Converting Improper Fractions to Mixed Numbers
inverse operations
reciprocal

38. Operations enclosed in a sign of grouping
Unit Cost + Markup
Always completed first
Step 1 of Converting mixed numbers to improper fractions
range

39. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To find out - easily - if one fraction is bigger than another
To add integers that have the same sign (both positive or both negative):
Reducing by the Largest Common Factor (LCF)
cross product

40. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
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
Aliquot and Aliquant Parts
The Ratio of Any two of the following: Original - Change and New
congruent

41. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
To add integers that have the same sign both positive or both negative:
Number
scalene triangle
Composite number

42. .625 --> Percent?
Number
62.5%
1
Revenue ($) - Cost ($)

43. The vertical number line of a coordinate graph
Inserting a zero at the left end of a whole number
y-axis
supplementary angles
A = (Diagonal1 x Diagonal2) / 2

44. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
inverse
Homogenous or Heterogenous
Whole

45. A value such as 5^2 can be called

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46. 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.
Alternative to the algebraic manipulation method to solving a VIC
Whole
( (Last - First) / Increment ) + 1
higher terms

47. 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
Power notation
similar figures
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.
Even

48. A parallelogram with all sides equal and congruent
rhombus
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
vertex (vertices - plural)
divisor

49. A parallelogram with four right angles
When to use fractions
quadrilateral
rectangle
The rule for adding negative integers is the same as the rule for adding positive integers:

50. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
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
x-coordinate
Axiom X.
median