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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. Having the same size and shape
congruent
When numbers do not divide evenly
fraction or broken number
farther to the left on the number line

2. Change/Original = New
prime factors
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Even
Percent Change

3. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
exactly the same portion
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.
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.
When the addends have the same sign both + or both -

4. The whole-number part of the mixed number is the whole-number part of the
percent
change the operation from subtraction to addition
Change + - Original = New
quotient

5. What is the formula forCounting consecutive integers?
(Last - First + 1)
When the addends have opposite signs one is + and the other is -
Axiom II.
mixed number

6. Signs of grouping may be nested
pentagon
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
A = (Base x Height) / 2 - A = (BH)/2
quotient

7. A mirror image of a figure shown over a line of reflection
integers
pentagon
Number Systems
reflection

8. 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
Odd or Non-Int
quadrilateral
Both
The sum of all the integers from 20 to 100 - inclusive

9. The sum of a group of numbers divided by the number of numbers; also known as the average
Odd
mean
Terminating decimal
The Decimal Numbering System

10. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
Magnitude
rectangle
Converting mixed numbers to improper fractions.
Revenue ($) - Cost ($)

11. 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 -
Inserting a zero at the left end of a whole number
1 and itself
Even

12. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Axiom IV.
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
improper fraction
Relative multitude

13. All whole numbers (both positive and negative) and zero.
integers
1
obtuse angle
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

14. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
0
greatest common factor (GCF)
exponent
Number

15. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Odd
Axiom III.
Axiom V.
Even

16. A triangle with one right angle
y-coordinate
mixed number
right triangle
mean

17. In a group of values - the value that occurs most often
reduced fraction
pentagon
mode
( (Last - First) / Increment ) + 1

18. A number that when multiplied by itself results in the original number
proper fraction
When you are absolutely sure the variable or expression <> 0
unit ratio
square root

19. The vertical number line of a coordinate graph
from left to right
proper fraction
y-axis
multiplicand

20. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
commutative law of multiplication
diameter
Species
pentagon

21. A combination of numbers and variables connected by one or more operations signs
expression
Terminating decimal
The sum of all the integers from 20 to 100 - inclusive
When the addends have the same sign both + or both -

22. 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
product
Negative-value integers
always clear the innermost groups first
Absolute and Relative

23. A solid figure with two congruent and parallel circular bases
Computation
area
cylinder
rectangle

24. Species and Number may be
Homogenous or Heterogenous
Even
polygon
rate

25. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Odd
contains only a single number
acute angle

26. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
one is positive and the other is negative
inverse operations
To make sure to solve for Both cases.
mixed number

27. 0 to any power is equal to
proper fraction
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
unit ratio
0

28. Odd x ? = Even
Reducing fractions
Number Systems
Axiom VI.
Even

29. What is the formula forCounting consecutive multiples?
x-coordinate
Axiom I.
(Last - First + 1)
( (Last - First) / Increment ) + 1

30. Is the agreement of things in Quanity.
scale drawing
Equality
Unit Cost + Markup
Arithmetic - Music - Geometry and Astronomy

31. Quantities which are both equal to one and the same third are equal to one another.
Axiom III.
vertex (vertices - plural)
Number
scalene triangle

32. A fraction with all common factors (other than 1) factored out of the numerator and denominator
right triangle
Odd
lowest terms
Non-Int

33. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Greater
Terminating decimal
base
proper fraction

34. A comparison of the two values of two numbers
ratio
Wage Rate ($ per hr) x Hrs worked
equal to itself.
simplify

35. 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:
mean
Homogenous or Heterogenous
Odd

36. Indicates the number of times the base is to be multiplied
exponent
Number
0
Sum of Interior Angles of a Polygon: (n - 2) x 180

37. Adding integers that have the same sign means
both integers are positive or both are negative
Even - Odd or Non-Int
parallel lines
Original + Change = New Change/Original = Percent Change

38. Any value divided by one
whether the addends have the same sign or opposite signs
Is equal to the original value
A sum of 2 primes is Odd
Power notation

39. An angle that measures 180 degrees
To add integers that have the same sign both positive or both negative:
straight angle
mixed fractions
when there are explicit or implicit equations in the problem:

40. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
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.
hexagon
Change + - Original = New
mixed fraction

41. What is the perimeter of a Polygon?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
unit ratio
Both
Magnitude at Rest and Magnitude in Motion

42. A quadrilateral with two pairs of congruent - parallel sides.
range
parallelogram
Revenue ($) - Cost ($)
Number Systems

43. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Reducing: The Brute-Force Method
Unit Price x Qty. Sold
Sum of Interior Angles of a Polygon: (n - 2) x 180
multiplicand

44. Area of a Rhombus is?
rectangle
Converting mixed numbers to improper fractions.
A = (D1 x D2) / 2
Revenue ($) - Cost ($)

45. A value such as 5^2 can be called

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46. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
Odd
denominator
before solving
How the Last Digit Shortcut works

47. 5/8 --> Decimal ?
Unit Cost + Markup
Relative multitude
Any value multiplied by one
0.625

48. TotalCost($) = ?

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49. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
To make sure to solve for Both cases.
Odd
inverse operations

50. Cross-multiply
Non-Int
To find out - easily - if one fraction is bigger than another
theorem
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set