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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. What are the 3 main formulaic properties of evenly-spaced sets?
More
hexagon
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
Even and Odd

2. Change + - Original = New
cross product
Change / Original Formula?
Multitudes and Magnitudes
quotient

3. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
polygon
equal to 1
unit ratio

4. Every number is contained in itself once.
Terminating decimal
denominator
like fractions
Axiom VII.

5. What is the formula forCounting consecutive integers?
enclosing the numbers in a pair of vertical lines | |
(Last - First + 1)
equilateral triangle
hexagon

6. One of those primes must be the number __ ?
A sum of 2 primes is Odd
Step 2 of Converting Improper Fractions to Mixed Numbers
When numbers do not divide evenly
greatest common factor (GCF)

7. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
contains only a single number
Even or Non-Int
integer values
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

8. Can have many different combinations of factors
Composite number
Evaluating Powers With Negative Exponents
divisor
When you are absolutely sure the variable or expression <> 0

9. 1 to any power is equal to
1
y-axis
5/8
base

10. Basic Number Properties and elementary operations.
Number Systems
Converting mixed numbers to improper fractions.
Shift DP 2 places left
parallelogram

11. Two angles whose sum equals 90 degrees
complementary angle
farther to the left on the number line
unit ratio
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

12. In a group of values - the value that occurs most often
Greater
When you are absolutely sure the variable or expression <> 0
circumference
mode

13. Is the agreement of things in Quanity.
pentagon
Equality
the denominator of the original improper fraction
mixed number

14. An equation stating that two ratios are equal
Reducing by the Largest Common Factor (LCF)
proportion
To add integers that have the same sign (both positive or both negative):
acute angle

15. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Converting mixed numbers to improper fractions.
change the operation from subtraction to addition
whether the addends have the same sign or opposite signs
x-coordinate

16. The number to be multiplied by is called the
multiplier
Odd
equal to 1
reduced fraction

17. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
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
polygon
proportion

18. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
Absolute and Relative
rate
quadrilateral

19. Is the disagreement of things in Quantity.
Inequality
Unit Cost + Markup
Non-Int
area

20. A parallelogram with four right angles
Percent Decrease Formula
rectangle
2
Terminating decimal

21. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
A = (D1 x D2) / 2
prime number
When the addends have opposite signs one is + and the other is -
cross product

22. The result of muliplying two or more numbers
To add integers that have the same sign (both positive or both negative):
fraction or broken number
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?
product

23. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Species
median
like fractions

24. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
pi
Wage Rate ($ per hr) x Hrs worked
improper fraction
lowest terms

25. Rules that tell which steps to follow when solving an expression.
Odd
order of operations
Number Systems
farther to the right on the number line.

26. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
common denominator
Even
Odd
before solving

27. What are the only prime factors that a fraction resulting in a terminating decimals have?
The Ratio of Any two of the following: Original - Change and New
quadrant
Fractions allow you to plot values between whole numbers and integers.
2 and/or 5 only

28. An angle measuring more than 90 degrees and less than 180 degrees
Carry the 10's digit of the product to the top of the 10's column of factors.
Zero multiplied by any value
To add integers that have opposite signs:
obtuse angle

29. An angle that measures 90 degrees
right angle
base
quotient
Both

30. 1 to any power is equal to
congruent
To add integers that have opposite signs:
Axiom I.
1

31. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Odd
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
proper fractions
Homogenous or Heterogenous

32. Factors may be multiplied in any order.
isosceles triangle
commutative law of multiplication
parallelogram
perimeter

33. Method: convert Percent to Decimal?
cubed
Shift DP 2 places left
equivalent
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

34. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
'six cubed'
Even or Non-Int
reduced fraction
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

35. Any value divided by one
integer values
cross product
Is equal to the original value
Even

36. A parallelogram with four right angles
rectangle
Revenue ($) - Cost ($)
y-coordinate
Number

37. All the positive whole numbers
Odd
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Non-Int
integer values

38. A triangle that has three equal sides and three equal angles
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Magnitude
one is positive and the other is negative
equilateral triangle

39. In order to understand and use exponents that are fractions or decimals - you must first know about
'six cubed'
roots of numbers
mode
order of operations

40. Signs of grouping may be nested
Both
Inequality
right triangle
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

41. Includes an integer as well as a fractional part
The Ratio of Any two of the following: Original - Change and New
Increases the value.
Reducing by the Largest Common Factor (LCF)
mixed number

42. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
dividend
( (Last - First) / Increment ) + 1
mode
Decimals/Percents

43. Indicates the number of times the base is to be multiplied
exponent
Unknown quantities
the denominator of the original improper fraction
range

44. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
'six cubed'
circumference
Even - Odd or Non-Int
Terminating decimal

45. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
greatest common factor (GCF)
Axiom IV.
lowest terms

46. The distance around a figure
To add integers that have the same sign both positive or both negative:
To add integers that have opposite signs:
perimeter
inverse operations

47. Odd / Even = ? e.g. 9/6 = 1.5
1 - (y/100)
The sum of all the integers from 20 to 100 - inclusive
Non-Int
To add integers that have opposite signs:

48. Anything that may be increased or diminished
divisor
Quantity
When numbers do not divide evenly
common factor

49. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
improper fraction
1
acute angle

50. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Species
Any value multiplied by one
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
proper fractions