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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. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
right triangle
roots of numbers
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
Greater

2. A polygon that has four sides
x-axis
improper fraction
quadrilateral
acute angle

3. The total of two or more numbers being added
There are two parts in the procedure for subtracting signed integers:
Unit Price x Qty. Sold
sum
Whole Numbers

4. Species are distinguished into
unit ratio
area
Known (Given) and Unknown (Sought)
1

5. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
enclosing the numbers in a pair of vertical lines | |
when there are explicit or implicit equations in the problem:
mode
percent

6. What is the formula forCounting consecutive multiples?
similar figures
( (Last - First) / Increment ) + 1
diameter
Reducing: The Brute-Force Method

7. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Unit Price x Qty. Sold
A plus sign (+) is used for two entirely different purposes:
scale drawing
Even

8. Any value divided by one
both integers are positive or both are negative
squared
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Is equal to the original value

9. In a group of values - the value that occurs most often
x = (+-) a
Unity - or a Unit
mode
The rule for adding negative integers is the same as the rule for adding positive integers:

10. By the first letters of the alphabet (a - b - c - d - etc..)
product
mixed number
Unknown quantities
mean

11. Percent Decrease Formula ?
Original x (1 - x/100) = New
Even or Non-Int
Species
range

12. Odd +/- ____ = Odd
prism
Odd or Non-Int
diameter
Even

13. Anything that may be increased or diminished
Quantity
Increases the value.
Both
The concept of trading decimal places and how it works

14. 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
Unit Price x Qty. Sold
When to use the Heavy Division Shortcut - and how to do it
range
equivalent

15. A line segment that passes through the center of a circle and has its endpoints on the circle
improper fractions
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
diameter
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

16. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
right triangle
A sum of 2 primes is Odd
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
To make sure to solve for Both cases.

17. A polygon with six sides.
( (Last - First) / Increment ) + 1
hexagon
Shift DP 2 places right
Whole

18. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
Step 1 of Converting mixed numbers to improper fractions
when there are explicit or implicit equations in the problem:
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
factor

19. To make a fraction easier to work with by taking out common factors
The Ratio of Any two of the following: Original - Change and New
polygon
proper fractions
simplify

20. A self-evident statement - that is - one that does not need to be demonstrated.
axiom
ratio
Power notation
Step 2 of Converting mixed numbers to improper fractions

21. The denominator of the fraction part of the mixed number is
prism
square root
Composite number
the denominator of the original improper fraction

22. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
product
prism
equation
2^3 = 8

23. Things are Equal in Magnitude when they are
supplementary angles
referred to the same Unit
x/100
sample

24. 1/2 - 1/3 - 2/3 - -5/8
complementary angle
When numbers do not divide evenly
Whole Numbers
proper fractions

25. Signs of grouping may be nested
A = (Base x Height) / 2 - A = (BH)/2
To add integers that have opposite signs:
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
denominator

26. Everything may be assumed as unity.
Axiom I.
Proof
Known (Given) and Unknown (Sought)
More

27. A statement that needs to be demonstrated and is called in Latin demonstrandum.
When to use the Heavy Division Shortcut - and how to do it
vertex (vertices - plural)
the Complement of that part to the whole
theorem

28. A combination of numbers and variables connected by one or more operations signs
UnitPrice ($/unit) x Qty.Purchas'd (units)
simplify
expression
factors of the multiplication operation

29. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Even
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?
greatest common factor (GCF)
Step 2 of Converting mixed numbers to improper fractions

30. The number being divided is called the
dividend
they have the same absolute value
Wage Rate ($ per hr) x Hrs worked
To add integers that have opposite signs:

31. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
More
Axiom VII.
When you are absolutely sure the variable or expression <> 0
ratio

32. The number to be multiplied by is called the
product
multiplier
complementary angles
parallelogram

33. Total Earnings ($) = ?
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
0
Wage Rate ($ per hr) x Hrs worked
radius

34. The largest single factor for two or more numbers.
greatest common factor (GCF)
squared
Unit Price x Qty. Sold
Change + - Original = New

35. Two or more fractions that have the same denominator
squared
mixed fractions
like fractions
Axiom X.

36. A number that is not a prime number is called a
composite number
quotient
sum
right triangle

37. The absolute value of numbers is indicated by
A minus sign ( - ) is used for two entirely different purposes:
enclosing the numbers in a pair of vertical lines | |
quadrant
The Decimal Numbering System

38. What is the perimeter of a Polygon?
radius
Sale Price - Unit Cost
Carry the 10's digit of the product to the top of the 10's column of factors.
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

39. The upper number in a fraction is the
numerator
Percent Decrease Formula
supplementary angles
Shift DP 2 places right

40. Surface space that is measured in square units
area
0.625
A = (Diagonal1 x Diagonal2) / 2
2^3 = 8

41. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
prime factors
y-coordinate
product

42. One of the four regions formed by the intersection of the axes of a coordinate graph
Even and Odd
x-axis
base
quadrant

43. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Shift DP 2 places right
inverse operations
Inserting a zero at the left end of a whole number
Odd

44. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
proper fraction
Odd or Non-Int
UnitPrice ($/unit) x Qty.Purchas'd (units)
2^3 = 8

45. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Axiom IX.
x-axis
equal to 1

46. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
composite number
unit ratio
5/8
Axiom V.

47. One of those primes must be the number __ ?
Inequality
range
rate
A sum of 2 primes is Odd

48. Method: convert Percent to Decimal?
Number Systems
they have the same absolute value
proportion
Shift DP 2 places left

49. 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 intege
There are two parts in the procedure for subtracting signed integers:
complementary angle
Original + Change = New Change/Original = Percent Change
62.5%

50. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
Long Division
Sale Price - Unit Cost
To add integers that have opposite signs:
( (Last - First) / Increment ) + 1