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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. An eight-sided polygon
octagon
Step 1 of Converting mixed numbers to improper fractions
perimeter
Equal

2. Always try to Factor a quadratic equation
before solving
complementary angle
To add integers that have opposite signs:
cross product

3. 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
To convert any fraction to higher terms
Subtracting Signed Integers
improper fraction
Converting mixed numbers to improper fractions.

4. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Relative multitude
One... the number 2
Odd or Non-Int
The rule for adding negative integers is the same as the rule for adding positive integers:

5. A number that is a multiple of all denominators in a problem.
common denominator
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
right triangle
quadrilateral

6. A quadrilateral with two pairs of congruent - parallel sides.
mixed number
parallelogram
Even
Number

7. 1 to any power is equal to
When to use fractions
1
Even
Zero (0)

8. The number being multiplied is called the
( (Last - First) / Increment ) + 1
The concept of trading decimal places and how it works
multiplicand
Composite number

9. A solid figure that has triangles for its sides and a polygon as its base
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
pyramid
sample
mode

10. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
simplify
Being divided by a power of 10
Step 1 of Converting Improper Fractions to Mixed Numbers
dividend

11. A ratio that shows the cost per unit of measure
Even
unit ratio
supplementary angles
Parts

12. The process of breaking a number down into its factors is called
Non-Int
absolute value
factoring
Axiom II.

13. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
theorem
When numbers do not divide evenly
improper fraction
A minus sign ( - ) is used for two entirely different purposes:

14. The ratio of a number to 100 (per one hundred). The symbol %
reciprocal
Revenue ($) - Cost ($)
percent
Subtracting Signed Integers

15. What is the formula forCounting consecutive integers?
equal to itself.
cross product
(Last - First + 1)
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

16. Adding integers that have the same sign means
Number
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
both integers are positive or both are negative
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

17. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
integer or whole number
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
Carry the 10's digit of the product to the top of the 10's column of factors.
When the addends have the same sign both + or both -

18. The result of dividing one number by another; the solution to a division problem
quotient
octagon
Being divided by a power of 10
Even or Non-Int

19. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
unit ratio
prime number
like fractions
Odd

20. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
1 and itself
Greater
product
Number

21. 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
mode
denominator
area

22. Rules that tell which steps to follow when solving an expression.
x-coordinate
order of operations
median
always clear the innermost groups first

23. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
The Decimal Numbering System
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.
Decreases
denominator

24. Why are Even Exponents dangerous?
equation
factoring
1 - (y/100)
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!

25. The two kinds of Multitude
To add integers that have the same sign both positive or both negative:
Absolute and Relative
they have the same absolute value
always clear the innermost groups first

26. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
To add integers that have the same sign both positive or both negative:
Step 2 of Converting mixed numbers to improper fractions
factor
cubed

27. Two angles whose sum equals 90 degrees
Step 1 of Converting mixed numbers to improper fractions
complementary angle
Known (Given) and Unknown (Sought)
polygon

28. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
Axiom I.
fraction or broken number
Percent Decrease Formula
The concept of trading decimal places and how it works

29. Change + - Original = New
Change / Original Formula?
62.5%
Even
y-coordinate

30. Indicates the number of times the base is to be multiplied
The rule for adding negative integers is the same as the rule for adding positive integers:
0.625
quotient
exponent

31. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
reduced fraction
contains only a single number
2
Odd

32. The action of the mind whereby a quantity is measured by Unity or a Unit.
diameter
Computation
exponent
'five squared'

33. In a group of values - the value that occurs most often
reciprocal
'six cubed'
mixed fractions
mode

34. A line segment that passes through the center of a circle and has its endpoints on the circle
Alternative to the algebraic manipulation method to solving a VIC
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
obtuse angle
diameter

35. A number with an exponent of 2 is often said to be
reduced fraction
squared
A = (D1 x D2) / 2
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

36. Lines in the same plane that do not intersect. The symbol //
trapezoid
Reducing: The Brute-Force Method
Axiom IX.
parallel lines

37. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
multiplier
simplify
Step 2 of Converting mixed numbers to improper fractions
Change / Original Formula?

38. An angle measuring more than zero degrees and less than 90 degrees
Known (Given) and Unknown (Sought)
order of operations
When the addends have the same sign both + or both -
acute angle

39. A comparison of the two values of two numbers
ratio
2
x-axis
composite number

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

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41. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
polygon
denominator
Every integer between 1 and X - inclusive - must be a factor of X
Decreases

42. Total Earnings ($) = ?
x-coordinate
common denominator
Wage Rate ($ per hr) x Hrs worked
Axiom X.

43. .625 --> Percent?
62.5%
Some integer/Some Power of 10
Power notation
reciprocal

44. The horizontal number line of a coordinate graph
lowest terms
Equality
x-axis
Multitude

45. The ratio of integers that results in a terminating decimal
polygon
2
0
Some integer/Some Power of 10

46. Can have many different combinations of factors
2
Step 2 of Converting Improper Fractions to Mixed Numbers
mean
Composite number

47. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
mode
Unit Cost + Markup
product

48. 3 ways to solve an absolute value inequality
perimeter
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
numerator
When you are absolutely sure the variable or expression <> 0

49. Is the opposite of raising fractions to higher terms.
Even
A minus sign ( - ) is used for two entirely different purposes:
Reducing fractions
equilateral triangle

50. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
range
perimeter
Long Division
product