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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. Is the disagreement of things in Quantity.
right triangle
Axiom III.
pyramid
Inequality

2. A Polygon is a closed shape formed by
Line Segments
pentagon
equal to itself.
diameter

3. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Axiom IX.
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
A = (Base x Height) / 2 - A = (BH)/2

4. The sum of a group of numbers divided by the number of numbers. Also known as the average.
mean
farther to the right on the number line.
Axiom II.
prime number

5. A number that tells how many times the base is multiplied by itself
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
ratio
0.625
exponent

6. The two kinds of parts
Is equal to the original value
Decimals/Percents
Aliquot and Aliquant Parts
The Ratio of Any two of the following: Original - Change and New

7. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
median
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
probability

8. Total Sales or Revenue = ?
A = (Base x Height) / 2 - A = (BH)/2
multiplier
To add integers that have opposite signs:
Unit Price x Qty. Sold

9. A ratio that compares two different types of quantities
The Decimal Numbering System
rate
parallel lines
similar figures

10. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
proper fractions
composite number
absolute value
base

11. Any value divided by one
Is equal to the original value
prime number
Unit Price x Qty. Sold
A plus sign (+) is used for two entirely different purposes:

12. A parallelogram with four right angles
complementary angles
when there are explicit or implicit equations in the problem:
rectangle
Step 2 of Converting mixed numbers to improper fractions

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

14. The two kinds of Quantity are
When numbers do not divide evenly
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Multitudes and Magnitudes
Even and Odd

15. Change / Original Formula
Change + - Original = New
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
before solving
exponent

16. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
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
Decimals/Percents
prism
Step 1 of Converting Improper Fractions to Mixed Numbers

17. A fraction with all common factors (other than 1) factored out of the numerator and denominator
y-axis
lowest terms
To add integers that have opposite signs:
Sale Price - Unit Cost

18. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
Aliquant Part
( (Last - First) / Increment ) + 1
Change + - Original = New
similar figures

19. Is equal to zero. 0 x a = 0
when there are explicit or implicit equations in the problem:
Zero multiplied by any value
putting that number over 1
quadrant

20. What is the formula forCounting consecutive multiples?
expression
supplementary angles
obtuse angle
( (Last - First) / Increment ) + 1

21. A ratio that shows the cost per unit of measure
median
area
unit ratio
equation

22. A whole number can be expressed as an improper fraction by
To add integers that have opposite signs:
putting that number over 1
y-axis
A plus sign (+) is used for two entirely different purposes:

23. 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
Carry the 10's digit of the product to the top of the 10's column of factors.
1
Odd
product

24. A solid figure that has triangles for its sides and a polygon as its base
quadrant
Even div. by 4
Step 1 of Converting mixed numbers to improper fractions
pyramid

25. 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
diameter
Aliquot Part
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.

26. A triangle with one right angle
pi
Percent Decrease Formula
Equality
right triangle

27. Things are Equal in Multitude when they are
square unit
equilateral triangle
referred to Unity in the same way
integer or whole number

28. Rules that tell which steps to follow when solving an expression.
(Last - First + 1)
Axiom VIII.
Both
order of operations

29. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
cross product
Axiom II.
Always completed first
cylinder

30. For there to be X unique factors of X - what must be true?
y-axis
(Last - First + 1)
Odd
Every integer between 1 and X - inclusive - must be a factor of X

31. The result of muliplying two or more numbers
Even
Always completed first
product
rate

32. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
exponent
prism
scalene triangle
dividend

33. A parallelogram with four right angles
rectangle
rate
both integers are positive or both are negative
Fractions allow you to plot values between whole numbers and integers.

34. The study of quantity
y-coordinate
Odd
numerator
Mathematics

35. Signs of grouping may be nested
y-axis
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
reduced fraction
1

36. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
How the Last Digit Shortcut works
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
Subtracting Signed Integers
when there are explicit or implicit equations in the problem:

37. Operations enclosed in a sign of grouping
Known quantities
Always completed first
numerator
Multitude

38. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
diameter
Even
area
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?

39. A polygon that has four sides
inverse operations
quadrilateral
Zero multiplied by any value
perimeter

40. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
simplify
obtuse angle
rectangle
inverse

41. The result of multiplying two or more numbers.
unit ratio
product
contains only a single number
Parts

42. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
contains only a single number
dividend
A = (Base x Height) / 2 - A = (BH)/2
scale drawing

43. 1/2 - 1/3 - 2/3 - -5/8
There are two parts in the procedure for subtracting signed integers:
proper fractions
vertex (vertices - plural)
probability

44. Decreasing the Denominator of a fraction Increases/Decreases the value?
Increases the value.
equivalent
Even
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

45. Two numbers are said to be equal (=) when they are at
unit ratio
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
y-coordinate
the same point on the number line

46. Switch to a number-picking strategy
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Alternative to the algebraic manipulation method to solving a VIC
Wage Rate ($ per hr) x Hrs worked
change the operation from subtraction to addition

47. Any number with a negative exponent
similar figures
inverse operations
equal to 1 divided by that number with a positive exponent
squared

48. 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.
parallelogram
The concept of trading decimal places and how it works
common denominator
Unit Price x Qty. Sold

49. Indicates the number of times the base is to be multiplied
exponent
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
hexagon
radius

50. Can have many different combinations of factors
axiom
Composite number
quadrilateral
Inequality