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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. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
Even
inverse operations
prism
cross product

2. A fraction with a numerator that is larger than or equal to its denominator.
improper fraction
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
Both
polygon

3. Two or more fractions that have the same denominator
from left to right
base
trapezoid
like fractions

4. 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
Step 1 of Converting mixed numbers to improper fractions
Unity - or a Unit
1

5. What are the rules for picking numbers in VICS?
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
Equal
trapezoid
numerator

6. The difference between the least and greatest values in a set of numbers
Composite number
range
exponent
62.5%

7. A ratio that shows the cost per unit of measure
product
unit ratio
Axiom X.
proportion

8. Anything that may be increased or diminished
one is positive and the other is negative
Even
Quantity
Odd

9. Is the opposite of raising fractions to higher terms.
Unit Price x Qty. Sold
composite number
Reducing fractions
Inequality

10. One of the four regions formed by the intersection of the axes of a coordinate graph
theorem
inverse
quadrant
percent

11. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even or Non-Int
The Ratio of Any two of the following: Original - Change and New
Even
enclosing the numbers in a pair of vertical lines | |

12. The smallest multiple that two or more numbers have in common
squared
Even and Odd
Equality
least common multiple (LCM)

13. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
Negative-value integers
Number
difference
Percent Decrease Formula

14. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
trapezoid
prism
Magnitude
equivalent

15. Adding integers that have opposite signs means
one is positive and the other is negative
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
parallelogram
pyramid

16. An evenly-spaced set is fully-defined if what is known...?
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
commutative law of multiplication
always clear the innermost groups first
numerator

17. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
unit ratio
Converting Improper Fractions to Mixed Numbers
hexagon
UnitPrice ($/unit) x Qty.Purchas'd (units)

18. No integer (except 1) that divides evenly into both the numerator and denominator.
To add integers that have opposite signs:
perimeter
reduced fraction
scalene triangle

19. What is the increment of a set of consecutive integers?
Change + - Original = New
A sum of 2 primes is Odd
median
1

20. 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.
parallelogram
Same units
How the Last Digit Shortcut works
mixed fractions

21. Decreasing the Denominator of a fraction Increases/Decreases the value?
multiplicand
polygon
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
Increases the value.

22. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
cylinder
scalene triangle
median
absolute value

23. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
Evaluating Powers With Negative Exponents
The bottom side of the triangle
diameter
Step 2 of Converting mixed numbers to improper fractions

24. Change/Original = New
exactly the same portion
Percent Change
prism
Non-Int

25. Includes an integer as well as a fractional part
perimeter
Odd or Non-Int
The rule for adding negative integers is the same as the rule for adding positive integers:
mixed fraction

26. The vertical number line of a coordinate graph
y-axis
lowest terms
x-coordinate
integers

27. A polygon with five sides
they have the same absolute value
Equality
the same point on the number line
pentagon

28. What is the perimeter of a Polygon?
product
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
sample
greatest common factor (GCF)

29. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
To add integers that have opposite signs:
Species
right triangle
Odd

30. 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
mixed fractions
When to use fractions
circumference
product

31. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
squared
UnitPrice ($/unit) x Qty.Purchas'd (units)
5/8
Decimals/Percents

32. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
when there are explicit or implicit equations in the problem:
Revenue ($) - Cost ($)
perimeter
integer values

33. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
complementary angles
Odd
mixed fractions
Even and Odd

34. The difference between the least and greatest values in a set of numbers.
Even
median
range
mixed fraction

35. Multiply both the numerator and denominator by the same integer value.
62.5%
To convert any fraction to higher terms
prime factorization
theorem

36. 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
equivalent
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
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.
fraction or broken number

37. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
unit ratio
scalene triangle
x-coordinate
Relative multitude

38. TotalCost($) = ?

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39. The largest single factor for two or more numbers.
Adding negative integers will always produce a negative sum
greatest common factor (GCF)
To add integers that have the same sign both positive or both negative:
Axiom II.

40. Why are Even Exponents dangerous?
Even
inverse operations
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
congruent

41. Zero divided by any whole number (except 0)
Is zero
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?
Even
A minus sign ( - ) is used for two entirely different purposes:

42. An angle that measures 90 degrees
right angle
Percent Change
A = (Diagonal1 x Diagonal2) / 2
denominator

43. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
Line Segments
pi
commutative law of multiplication
radius

44. Two angles whose sum equals 90 degrees.
contains only a single number
quadrant
complementary angles
rhombus

45. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
Decimals/Percents
Original + Change = New Change/Original = Percent Change
farther to the left on the number line

46. A number is increased by 25%... what must you reduce the new number by to get the old number again?
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
equal to 1 divided by that number with a positive exponent
Percent Decrease Formula
1

47. The base of a triangle refers to?
Inserting a zero at the right end of a whole number
Long Division
The bottom side of the triangle
The concept of trading decimal places and how it works

48. Things are Equal in Multitude when they are
referred to Unity in the same way
Adding negative integers will always produce a negative sum
Positive-value integers
roots of numbers

49. Is equal to the original value. a x 1 = 1
One... the number 2
Any value multiplied by one
Proof
Even

50. Any number with an exponent of 0
When to use fractions
Odd or Non-Int
Mathematics
equal to 1