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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. Any number with a negative exponent
Decimals/Percents
A = (Diagonal1 x Diagonal2) / 2
Even
equal to 1 divided by that number with a positive exponent

2. In a division problem - it's the number being divided
whether the addends have the same sign or opposite signs
dividend
product
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

3. The figure formed when two rays meet at a common endpoint called a vertex.
inverse operations
angle
Inequality
cylinder

4. In order to understand and use exponents that are fractions or decimals - you must first know about
roots of numbers
Inequality
proper fraction
mixed fraction

5. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Even - Odd or Non-Int
improper fractions
Even
Inserting a zero at the right end of a whole number

6. Having the same value
prism
2^3 = 8
equivalent
always clear the innermost groups first

7. The smallest multiple that two or more numbers have in common
Even div. by 4
least common multiple (LCM)
Arithmetic - Music - Geometry and Astronomy
equal to 1

8. 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.
factor
range
When numbers do not divide evenly
fraction or broken number

9. The total of two or more numbers being added
multiplicand
greatest common factor (GCF)
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
sum

10. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
diameter
Step 1 of Converting Improper Fractions to Mixed Numbers
Fractions allow you to plot values between whole numbers and integers.
exactly the same portion

11. What is the formula forCounting consecutive integers?
proportion
improper fraction
farther to the left on the number line
(Last - First + 1)

12. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
roots of numbers
prime factorization
referred to Unity in the same way
reciprocal

13. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
always clear the innermost groups first
1
quotient
Even or Non-Int

14. Expresses fractional parts that are greater than 1.
multiplicand
2^3 = 8
mixed number
Whole Numbers

15. Is equal to zero. 0 x a = 0
denominator
Zero multiplied by any value
prime factors
equal to 1 divided by that number with a positive exponent

16. What is the formula forCounting consecutive multiples?
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
To convert any fraction to higher terms
1 - (y/100)
( (Last - First) / Increment ) + 1

17. A parallelogram with all sides equal and congruent
Zero (0)
rhombus
Inequality
polygon

18. The terms Species and Number
Quantity is expressed
median
Increases the value.
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

19. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
0.625
Increases the value.
Same units
Change + - Original = New

20. A statement that needs to be demonstrated and is called in Latin demonstrandum.
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
theorem
Odd
straight angle

21. A polygon with six sides.
Odd or Non-Int
hexagon
Quantity
To add integers that have the same sign both positive or both negative:

22. Rules that tell which steps to follow when solving an expression
pentagon
order of operations
Quantity is expressed
equilateral triangle

23. One of those primes must be the number __ ?
Revenue ($) - Cost ($)
A sum of 2 primes is Odd
x/100
mixed number

24. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Always completed first
When to use fractions
Axiom V.
lowest terms

25. A polygon with six sides.
Revenue ($) - Cost ($)
theorem
hexagon
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

26. A triangle with sides of different lengths and no two angles are the same.
Even
A minus sign ( - ) is used for two entirely different purposes:
Percent Decrease Formula
scalene triangle

27. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
When the addends have the same sign both + or both -
reflection
lowest terms
Sale Price - Unit Cost

28. The number to be multiplied by is called the
One... the number 2
denominator
multiplier
x = (+-) a

29. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
prime factorization
Terminating decimal
product
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

30. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
from left to right
Percent Decrease Formula
median
octagon

31. An equation stating that two ratios are equal
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
proportion
proper fractions
area

32. Change/Original = New
Percent Change
lowercase Variables
Is equal to the original value
x-coordinate

33. The amount that remains after one number has been subtracted from another
improper fraction
the denominator of the original improper fraction
difference
To convert any fraction to higher terms

34. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
octagon
Homogenous or Heterogenous
62.5%
Multitude

35. Profit = ?
complementary angles
Revenue ($) - Cost ($)
Step 2 of Converting Improper Fractions to Mixed Numbers
The Ratio of Any two of the following: Original - Change and New

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

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37. A ratio that compares two different types of quantities
scalene triangle
composite number
Converting mixed numbers to improper fractions.
rate

38. 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
A = (D1 x D2) / 2
multiplier
rate
The sum of all the integers from 20 to 100 - inclusive

39. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Decimals/Percents
y-coordinate
The Ratio of Any two of the following: Original - Change and New
Odd

40. A collection of things taken as a Unity. A bushel of wheat is a whole.
Even
mixed number
Whole
median

41. The absolute value of the numerator is smaller than the absolute value of the denominator.
proper fraction
quadrilateral
polygon
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. When will a decimal Not terminate and why?
quotient
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
'six cubed'

43. 5/8 --> Decimal ?
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
Even
roots of numbers
0.625

44. The upper number in a fraction is the
numerator
Even
Whole
Percent Decrease Formula

45. Even X Even = ? ... and is div. by ?
Even div. by 4
Axiom X.
right triangle
perimeter

46. A sign of grouping can be omitted when it
contains only a single number
lowest terms
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
Axiom IX.

47. Reversed position or direction
square root
'six cubed'
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
inverse

48. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
parallelogram
Even or Non-Int
x = (+-) a
(Last - First + 1)

49. The two kinds of Magnitude are
order of operations
factoring
acute angle
Magnitude at Rest and Magnitude in Motion

50. Any number with an exponent of 1
equal to itself.
Greater
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.
To add integers that have opposite signs: