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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. The whole is more or greater than its part.
base
Axiom IV.
To make sure to solve for Both cases.
Even or Non-Int

2. The distance around a circle (the perimeter of a circle).
prism
Reducing fractions
scalene triangle
circumference

3. Total Sales or Revenue = ?
quotient
pyramid
supplementary angles
Unit Price x Qty. Sold

4. A polygon with six sides.
1 - (y/100)
cubed
scalene triangle
hexagon

5. A whole number that has only one set of factors - itself and 1.
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
prime number
Even
factor

6. One of the four regions formed by the intersection of the axes of a coordinate graph
when there are explicit or implicit equations in the problem:
obtuse angle
Known quantities
quadrant

7. Things are Equal in Magnitude when they are
composite number
referred to the same Unit
The sum of all the integers from 20 to 100 - inclusive
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

8. Lines in the same plane that do not intersect. The symbol //
parallel lines
When you are absolutely sure the variable or expression <> 0
There are two parts in the procedure for subtracting signed integers:
Both

9. What is the formula forCounting consecutive integers?
(Last - First + 1)
quadrant
2
when there are explicit or implicit equations in the problem:

10. By the last letters (u - x - y - etc.)
unit ratio
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Known quantities

11. The lower number in a fraction is the
denominator
enclosing the numbers in a pair of vertical lines | |
The bottom side of the triangle
prime factorization

12. 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.
To make sure to solve for Both cases.
Axiom VI.
Reducing: The Brute-Force Method
composite number

13. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
denominator
Step 1 of Converting mixed numbers to improper fractions
( (Last - First) / Increment ) + 1
mean

14. A triangle with one right angle
cubed
1
hexagon
right triangle

15. What is the only Even prime number?
2
percent
Terminating decimal
Inserting a zero at the left end of a whole number

16. A comparison of the two values of two numbers
diameter
difference
Inserting a zero at the left end of a whole number
ratio

17. Reducing fractions is
Always completed first
congruent
dividing the numerator and denominator by the same number
proportion

18. 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.
Magnitude
Even
radius
When numbers do not divide evenly

19. The exact procedure for adding signed integers depends upon
whether the addends have the same sign or opposite signs
squared
lowercase letters
To square an equation to solve it

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

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21. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
exactly the same portion
Even
polygon
More

22. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Even and Odd
percent
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
quadrilateral

23. 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
Axiom VI.
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
Zero multiplied by any value

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

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25. A ratio that shows the cost per unit of measure
unit ratio
x-axis
congruent
1

26. Adding integers that have opposite signs means
prism
one is positive and the other is negative
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.
ratio

27. 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
Even or Non-Int
inverse operations
Composite number

28. All whole numbers (both positive and negative) and zero.
integers
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
The Decimal Numbering System
congruent

29. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
from left to right
Inserting a zero at the right end of a whole number
median
Step 1 of Converting Improper Fractions to Mixed Numbers

30. The denominator of the fraction part of the mixed number is
the denominator of the original improper fraction
vertex (vertices - plural)
When you are absolutely sure the variable or expression <> 0
theorem

31. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
1 - (y/100)
The Decimal Numbering System
More
Inequality

32. The ratio of a number to 100 (per one hundred). The symbol %
Even div. by 4
When to use the Heavy Division Shortcut - and how to do it
1
percent

33. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
Even
diameter
both integers are positive or both are negative
parallelogram

34. 0.625 --> Fraction ?
Equality
circumference
5/8
Odd

35. The Only possible factors for a prime number are
Alternative to the algebraic manipulation method to solving a VIC
Sale Price - Unit Cost
Every integer between 1 and X - inclusive - must be a factor of X
1 and itself

36. The action of the mind whereby a quantity is measured by Unity or a Unit.
percent
Percent Change
improper fraction
Computation

37. 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.
x-axis
Same units
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
obtuse angle

38. What are the properties of the diagonals of a Rhombus?
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
(Last - First + 1)
Is equal to the original value
prime factorization

39. ' x percent' = ?
x/100
quadrilateral
Homogenous or Heterogenous
right triangle

40. 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
divisor
Even or Non-Int
median

41. The ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
reciprocal
quotient
putting that number over 1

42. A quadrilateral with two pairs of congruent - parallel sides
Original x (1 - x/100) = New
Known (Given) and Unknown (Sought)
parallelogram
multiplier

43. A combination of numbers and variables connected by one or more operations signs
Even
Greater
expression
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

44. Every lesser number is contained in a greater more than once.
congruent
factors of the multiplication operation
Axiom VIII.
reflection

45. Any number with an exponent of 0
mixed number
equal to 1
exponent
Homogenous or Heterogenous

46. 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
( (Last - First) / Increment ) + 1
Axiom II.
Converting Improper Fractions to Mixed Numbers
x/100

47. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Proof
x-axis
rate
rectangle

48. A number that tells how many times the base is multiplied by itself
The Decimal Numbering System
x/100
exponent
One... the number 2

49. The result of the division called the
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
quotient
Original x (1 - x/100) = New
radius

50. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
proper fraction
improper fraction
Number
absolute value