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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. A parallelogram with four right angles
rectangle
Proof
product
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

2. 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
Change / Original Formula?
Even
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

3. What is an evenly-spaced set?
Change / Original Formula?
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
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
radius

4. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Step 1 of Converting mixed numbers to improper fractions
Both
area
exponent

5. What is the increment of a set of consecutive integers?
Homogenous or Heterogenous
1
Change + - Original = New
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

6. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Aliquot Part
Sale Price - Unit Cost
quotient
similar figures

7. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
Greater
prime factorization
the denominator of the original improper fraction
To add integers that have opposite signs:

8. When the factors of a number are all prime numbers - the factors are said to be the
How the Last Digit Shortcut works
prime factors
circumference
complementary angles

9. Area of a Rhombus is?
supplementary angles
A = (D1 x D2) / 2
Original + Change = New Change/Original = Percent Change
equilateral triangle

10. In order to understand and use exponents that are fractions or decimals - you must first know about
When you are absolutely sure the variable or expression <> 0
1
roots of numbers
denominator

11. The two kinds of Multitude
squared
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
Aliquot and Aliquant Parts
Absolute and Relative

12. Reversed position or direction
Absolute and Relative
inverse
equal to itself.
Even or Non-Int

13. 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.
straight angle
Same units
Positive-value integers
proper fraction

14. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
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
inverse operations
octagon
To square an equation to solve it

15. Are those things collected in a whole.
Increases the value.
Parts
Number Systems
expression

16. A quadrilateral with one pair of parallel sides
Change + - Original = New
circumference
trapezoid
Reducing fractions

17. A unit for measuring area
One... the number 2
enclosing the numbers in a pair of vertical lines | |
square unit
parallelogram

18. The vertical number line of a coordinate graph
y-axis
expression
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Axiom X.

19. What are the 3 main formulaic properties of evenly-spaced sets?
Converting Improper Fractions to Mixed Numbers
cubed
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
integers

20. A number that is a multiple of all denominators in a problem.
order of operations
common denominator
Even and Odd
2

21. 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
Evaluating Powers With Negative Exponents
complementary angles
Negative-value integers
More

22. Basic Number Properties and elementary operations.
Line Segments
Number Systems
The rule for adding negative integers is the same as the rule for adding positive integers:
equal to itself.

23. A polygon that has four sides.
UnitPrice ($/unit) x Qty.Purchas'd (units)
Axiom V.
quadrilateral
Proof

24. 5/8 --> Decimal ?
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 denominator of the original improper fraction
square unit
0.625

25. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Whole
y-coordinate
circumference
common factor

26. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
acute angle
1
rhombus
similar figures

27. Change/Original = New
Percent Change
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
Aliquant Part
straight angle

28. A combination of numbers and variables connected by one or more operations signs
congruent
commutative law of multiplication
Even
expression

29. Adding integers that have the same sign means
A = (Base x Height) / 2 - A = (BH)/2
both integers are positive or both are negative
octagon
range

30. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
y-axis
simplify
Odd or Non-Int
equal to 1

31. An angle measuing more than 0 degrees and less than 90 degrees
cross product
Quantity
acute angle
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

32. The amount that remains after one number has been subtracted from another
Quantity is expressed
lowest terms
Absolute and Relative
difference

33. Surface space that is measured in square units.
1 - (y/100)
area
diameter
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

34. A value that combines a whole number and a fractional amount
x/100
mixed number
Evaluating Powers With Negative Exponents
Unit Price x Qty. Sold

35. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
The concept of trading decimal places and how it works
one is positive and the other is negative
The rule for adding negative integers is the same as the rule for adding positive integers:
integer or whole number

36. 1 to any power is equal to
To add integers that have opposite signs:
1
Inequality
(Last - First + 1)

37. Decreasing the Denominator of a fraction Increases/Decreases the value?
square unit
mode
Increases the value.
mixed fraction

38. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
1 - (y/100)
both integers are positive or both are negative
Relative multitude
Known (Given) and Unknown (Sought)

39. The absolute value of the numerator is smaller than the absolute value of the denominator.
proper fraction
Aliquot Part
exactly the same portion
Both

40. Is equal to the original value. a x 1 = 1
equal to itself.
The rule for adding negative integers is the same as the rule for adding positive integers:
axiom
Any value multiplied by one

41. A triangle that has three equal sides and three equal angles
Revenue ($) - Cost ($)
2
always clear the innermost groups first
equilateral triangle

42. An angle that measures 90 degrees
Equality
median
right angle
Magnitude

43. The distance around a circle (the perimeter of a circle).
from left to right
circumference
1
0.625

44. All whole numbers (both positive and negative) and zero.
integers
lowercase letters
base
exponent

45. An equation stating that two ratios are equal
Terminating decimal
Aliquant Part
proportion
integers

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

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47. A comparison of the two values of two numbers
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
prime number
polygon
ratio

48. A collection of things taken as a Unity. A bushel of wheat is a whole.
absolute value
Even and Odd
Whole
A = (D1 x D2) / 2

49. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
factors of the multiplication operation
Even or Non-Int
quadrilateral
inverse operations

50. To indicate the subtraction operation - to indicate a negative integer value
prime factorization
A minus sign ( - ) is used for two entirely different purposes:
least common multiple (LCM)
difference