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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Equal
Step 1 of Converting mixed numbers to improper fractions
Even
whether the addends have the same sign or opposite signs

2. A solid figure that has triangles for its sides and a polygon as its base
equilateral triangle
pyramid
Proof
x-coordinate

3. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
quotient
equal to 1
dividend
Subtracting Signed Integers

4. Is equal to zero. 0 x a = 0
Zero multiplied by any value
right angle
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Sale Price - Unit Cost

5. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Unit Price x Qty. Sold
congruent

6. The terms Species and Number
Equality
Whole Numbers
Quantity is expressed
polygon

7. Every quantity is equal to itself.
axiom
from left to right
Axiom II.
Multitude

8. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Quantity is expressed
change the operation from subtraction to addition
The rule for adding negative integers is the same as the rule for adding positive integers:
ratio

9. The numerator of the fraction part of the mixed number is the remainder from the
Change + - Original = New
quotient
Magnitude
Inserting a zero at the right end of a whole number

10. Two numbers listed in a specific order; it describes a point on the coordinate graph
the Complement of that part to the whole
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
ordered pair
Always completed first

11. 1 to any power is equal to
Positive-value integers
1
referred to the same Unit
Homogenous or Heterogenous

12. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
contains only a single number
cubed
prime number
When to use the Heavy Division Shortcut - and how to do it

13. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Wage Rate ($ per hr) x Hrs worked
To add integers that have the same sign (both positive or both negative):
common denominator
2 and/or 5 only

14. The Sum of n consecutive integers is divisible by n if n is
denominator
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
Odd
ratio

15. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
To make sure to solve for Both cases.
Fractions allow you to plot values between whole numbers and integers.
Axiom I.
prism

16. Is Always perpendicular (at 90 deg. to) the base!
lowest terms
order of operations
composite number
The height of a triangle

17. Indicates the number of times the base is to be multiplied
scalene triangle
Wage Rate ($ per hr) x Hrs worked
exponent
Decimals/Percents

18. The numerator is smaller than the denominator
unit ratio
proper fraction
Aliquant Part
perimeter

19. What are the 2 'percent change' equations?
Original + Change = New Change/Original = Percent Change
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.
Non-Int
2^3 = 8

20. 3/2 - 8/3 - -16/5 - 7/7
Axiom IV.
improper fractions
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.
squared

21. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
reciprocal
theorem
Decimals/Percents
whether the addends have the same sign or opposite signs

22. Cross-multiply
Wage Rate ($ per hr) x Hrs worked
dividend
To find out - easily - if one fraction is bigger than another
Inserting a zero at the right end of a whole number

23. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
x-axis
Even
rectangle
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

24. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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25. Sale Price = ?
Aliquot and Aliquant Parts
Unit Cost + Markup
Axiom IX.
divisor

26. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
1
Axiom II.
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
x-coordinate

27. No integer (except 1) that divides evenly into both the numerator and denominator.
reduced fraction
inverse
0.625
Is zero

28. A ratio that shows the cost per unit of measure
There are two parts in the procedure for subtracting signed integers:
unit ratio
y-coordinate
Even

29. The amount that remains after one number has been subtracted from another
difference
5/8
Original + Change = New Change/Original = Percent Change
exponent

30. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
pentagon
complementary angle
radius
Greater

31. Change / Original Formula
(Last - First + 1)
area
Change + - Original = New
'five squared'

32. What is an evenly-spaced set?
Odd
Reducing by the Largest Common Factor (LCF)
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
improper fractions

33. TotalCost($) = ?

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34. An equation stating that two ratios are equal
integers
When the addends have the same sign both + or both -
prime number
proportion

35. Is ZERO positive or negative - both - or none?
Increases the value.
62.5%
Power notation
Both

36. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
Different Units
Step 1 of Converting mixed numbers to improper fractions
simplify
reciprocal

37. 0 to any power is equal to
angle
When to use the Heavy Division Shortcut - and how to do it
quotient
0

38. A quadrilateral with two pairs of congruent - parallel sides
parallelogram
x-coordinate
When you are absolutely sure the variable or expression <> 0
Sale Price - Unit Cost

39. When the factors of a number are all prime numbers - the factors are said to be the
Quantity
prime factors
always clear the innermost groups first
The concept of trading decimal places and how it works

40. The distance around a circle (the perimeter of a circle).
circumference
A = (Base x Height) / 2 - A = (BH)/2
common factor
To add integers that have opposite signs:

41. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
fraction or broken number
quadrilateral
Inserting a zero at the left end of a whole number
improper fraction

42. The ratio of a number to 100 (per one hundred). The symbol %
0
When the addends have the same sign both + or both -
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
percent

43. Any value divided by one
The rule for adding negative integers is the same as the rule for adding positive integers:
equal to itself.
Is equal to the original value
To add integers that have the same sign both positive or both negative:

44. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
mixed fractions
common factor
Step 2 of Converting Improper Fractions to Mixed Numbers
Axiom VI.

45. The Sum of n consecutive integers is Not divisible by n if n is
referred to Unity in the same way
mixed number
diameter
Even

46. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Proof
enclosing the numbers in a pair of vertical lines | |
diameter
congruent

47. A number with only two factors: the number itself and one.
greatest common factor (GCF)
prime factorization
Reducing: The Brute-Force Method
prime number

48. What are the 3 main formulaic properties of evenly-spaced sets?
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
A minus sign ( - ) is used for two entirely different purposes:
factors of the multiplication operation
referred to the same Unit

49. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
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
Revenue ($) - Cost ($)
2
denominator

50. ' x percent' = ?
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
congruent
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?
x/100

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CLEP General Mathematics: Arithmetic Basics

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