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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. Why are Even Exponents dangerous?
Composite number
pentagon
Whole Numbers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!

2. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Unit Price x Qty. Sold
( (Last - First) / Increment ) + 1
Terminating decimal
change the operation from subtraction to addition

3. A comparison of the two values of two numbers
ratio
integer values
integers
mixed number

4. When the factors of a number are all prime numbers - the factors are said to be the
x = (+-) a
quadrilateral
Revenue ($) - Cost ($)
prime factors

5. Rules that tell which steps to follow when solving an expression
order of operations
When the addends have the same sign both + or both -
similar figures
quotient

6. A unit for measuring area
supplementary angles
Axiom VII.
square unit
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount

7. The distance around a figure.
unit ratio
Some integer/Some Power of 10
perimeter
2

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 intege
There are two parts in the procedure for subtracting signed integers:
isosceles triangle
To add integers that have the same sign both positive or both negative:
Mathematics

9. Includes an integer as well as a fractional part
More
mixed number
change the operation from subtraction to addition
lowest terms

10. Decreasing the Denominator of a fraction Increases/Decreases the value?
improper fraction
Increases the value.
Shift DP 2 places left
More

11. Things are Equal in Magnitude when they are
quadrilateral
quotient
referred to the same Unit
To convert any fraction to higher terms

12. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
lowest terms
acute angle
dividend
More

13. Things are Equal in Multitude when they are
percent
ratio
median
referred to Unity in the same way

14. To indicate the addition operation- to indicate a positive integer value
Unit Cost + Markup
integers
How the Last Digit Shortcut works
A plus sign (+) is used for two entirely different purposes:

15. A ratio that shows the cost per unit of measure
dividend
sum
unit ratio
Multitude

16. Is the disagreement of things in Quantity.
The bottom side of the triangle
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
Inequality
prism

17. An eight-sided polygon
Inserting a zero at the right end of a whole number
More
octagon
Unknown quantities

18. By the first letters of the alphabet (a - b - c - d - etc..)
Increases the value.
Unknown quantities
Even
difference

19. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Every integer between 1 and X - inclusive - must be a factor of X
Odd
vertex (vertices - plural)
simplify

20. 3 ways to solve an absolute value inequality
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
perimeter
Known quantities
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

21. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
exactly the same portion
parallel lines
Increases the value.

22. Whole is equal in Multitude to a Part of the other.
(Last - First + 1)
Equal
multiplicand
prism

23. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Computation
Odd
Line Segments
vertex (vertices - plural)

24. 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.
Reducing: The Brute-Force Method
mixed fractions
percent
exponent

25. The result of muliplying two or more numbers
denominator
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
product
Zero (0)

26. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?

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27. A solid figure with two congruent and parallel circular bases
ratio
A sum of 2 primes is Odd
sample
cylinder

28. An evenly-spaced set is fully-defined if what is known...?
whether the addends have the same sign or opposite signs
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
area
supplementary angles

29. What's the reciprocal of v6 - and why?
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
mixed fractions
integer or whole number
There are two parts in the procedure for subtracting signed integers:

30. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
factors of the multiplication operation
ratio
Aliquant Part
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

31. 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
simplify
Arithmetic - Music - Geometry and Astronomy
Decimals/Percents

32. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
probability
like fractions
Known quantities
(Last - First + 1)

33. Profit = ?
To convert any fraction to higher terms
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
Revenue ($) - Cost ($)
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.

34. A parallelogram with four right angles
reduced fraction
The sum of all the integers from 20 to 100 - inclusive
Quantity
rectangle

35. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
range
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Odd or Non-Int
lowercase letters

36. Change + - Original = New
radius
Change / Original Formula?
ratio
referred to the same Unit

37. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
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.
quotient
simplify
perimeter

38. The amount that remains after one number has been subtracted from another
difference
the same point on the number line
When to use the Heavy Division Shortcut - and how to do it
Alternative to the algebraic manipulation method to solving a VIC

39. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
reflection
square unit
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
fraction or broken number

40. An angle measuing more than 0 degrees and less than 90 degrees
equal to 1
acute angle
multiplier
dividend

41. Species and Number may be
Even - Odd or Non-Int
ratio
Homogenous or Heterogenous
Axiom V.

42. Surface space that is measured in square units.
equal to 1
1 and itself
62.5%
area

43. The result of dividing one number by another; the solution to a division problem
integer values
product
congruent
quotient

44. A number with an exponent of 2 is often said to be
squared
trapezoid
scalene triangle
Parts

45. The number doing the dividing is called the
angle
reflection
divisor
Even

46. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To square an equation to solve it
pyramid
dividend
square root

47. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Axiom I.
Unit Price x Qty. Sold
Even - Odd or Non-Int
Negative-value integers

48. Cross-multiply
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
(Last - First + 1)
prime number
To find out - easily - if one fraction is bigger than another

49. A polygon that has four sides.
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
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
quadrilateral
fraction or broken number

50. One of the four regions formed by the intersection of the axes of a coordinate graph
the Complement of that part to the whole
quadrant
complementary angle
Converting Improper Fractions to Mixed Numbers

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CLEP General Mathematics: Arithmetic Basics

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