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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. Always perform the operations
exponent
To add integers that have opposite signs:
Odd
from left to right

2. When working with nested signs of grouping
lowercase letters
Even
When to use the Heavy Division Shortcut - and how to do it
always clear the innermost groups first

3. The whole-number system uses only ten characters -0 through 9.
( (Last - First) / Increment ) + 1
congruent
proportion
The Decimal Numbering System

4. What is the formula forCounting consecutive multiples?
equal to 1
( (Last - First) / Increment ) + 1
proper fraction
Sale Price - Unit Cost

5. Method: convert Percent to Decimal?
rhombus
Aliquant Part
Shift DP 2 places left
perimeter

6. What is the formula for: The Area of a Triangle ?
Odd or Non-Int
A = (Base x Height) / 2 - A = (BH)/2
exactly the same portion
equal to itself.

7. A Polygon is a closed shape formed by
parallelogram
Line Segments
One... the number 2
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

8. Expresses fractional parts that are greater than 1.
mixed number
The Decimal Numbering System
x-axis
least common multiple (LCM)

9. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
Homogenous or Heterogenous
sum
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

10. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
0.625
commutative law of multiplication
y-coordinate
Percent Change

11. Method: convert Decimal to Percent?
Shift DP 2 places right
farther to the right on the number line.
product
0.625

12. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Even
integer or whole number
hexagon
Non-Int

13. Rules that tell which steps to follow when solving an expression.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Adding negative integers will always produce a negative sum
composite number
order of operations

14. Lines in the same plane that do not intersect. The symbol //
When you are absolutely sure the variable or expression <> 0
Axiom VII.
parallel lines
the same point on the number line

15. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
Axiom VII.
median
reciprocal
prism

16. Two numbers listed in a specific order; it describes a point on the coordinate graph
Different Units
ordered pair
Wage Rate ($ per hr) x Hrs worked
quadrilateral

17. Any whole number can be expressed in terms of the
order of operations
product
Even div. by 4
divisor

18. Original x (1 - x/100) = New
Absolute and Relative
one is positive and the other is negative
Percent Decrease Formula
mode

19. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
equal to 1
Aliquant Part
2 and/or 5 only
A = (Base x Height) / 2 - A = (BH)/2

20. Always perform combinations of multiplication and division before
unit ratio
mixed number
combination of addition and subtraction
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

21. The number to be multiplied by is called the
Evaluating Powers With Negative Exponents
Absolute and Relative
multiplier
Increases the value.

22. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
The Decimal Numbering System
composite number
range
Even

23. Having the same size and shape
y-coordinate
equation
both integers are positive or both are negative
congruent

24. A comparison of the two values of two numbers
Unity - or a Unit
Some integer/Some Power of 10
ratio
congruent

25. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
Axiom X.
reciprocal
Subtracting Signed Integers
'six cubed'

26. When will a decimal Not terminate and why?
1
lowercase Variables
common factor
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

27. The whole is equal to all of its parts taken together.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
To find out - easily - if one fraction is bigger than another
Converting Improper Fractions to Mixed Numbers
Axiom V.

28. Percent Decrease Formula ?
probability
Original x (1 - x/100) = New
Unknown quantities
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

29. When will a decimal terminate and why?
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Quantity
polygon

30. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
equilateral triangle
denominator
order of operations
factor

31. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
denominator
Axiom X.
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

32. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
radius
Percent Decrease Formula
To add integers that have the same sign both positive or both negative:
Number Systems

33. The Only possible factors for a prime number are
1 and itself
Relative multitude
quadrant
proper fraction

34. 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 -
( (Last - First) / Increment ) + 1
Being divided by a power of 10
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

35. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
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
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Converting Improper Fractions to Mixed Numbers
To square an equation to solve it

36. An eight-sided polygon
Shift DP 2 places left
octagon
Aliquot and Aliquant Parts
Any value multiplied by one

37. What is the perimeter of a Polygon?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
prism
quadrilateral
Unit Cost + Markup

38. One number is said to be less than (<) another when it is
farther to the left on the number line
multiplicand
proper fraction
Evaluating Powers With Negative Exponents

39. Two or more fractions that have the same denominator
like fractions
numerator
right triangle
always clear the innermost groups first

40. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
Odd
Even
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
parallelogram

41. 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.
diameter
parallel lines
integers
supplementary angles

42. 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.
Unit Cost + Markup
To convert any fraction to higher terms
When numbers do not divide evenly
Axiom V.

43. 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
mixed number
Whole
The sum of all the integers from 20 to 100 - inclusive
similar figures

44. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Adding negative integers will always produce a negative sum
y-coordinate
polygon
quotient

45. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Being divided by a power of 10
simplify
denominator
Carry the 10's digit of the product to the top of the 10's column of factors.

46. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
the Complement of that part to the whole
Arithmetic - Music - Geometry and Astronomy
referred to Unity in the same way
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

47. The distance around a figure.
More
congruent
Even
perimeter

48. What are the 3 main formulaic properties of evenly-spaced sets?
supplementary angles
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
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
lowercase letters

49. A ratio that compares two different types of quantities
rate
Wage Rate ($ per hr) x Hrs worked
Being divided by a power of 10
unit ratio

50. 'y percent less than' = ?
Multitude
inverse operations
median
1 - (y/100)