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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. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
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
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
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

2. The exact procedure for adding signed integers depends upon
There are two parts in the procedure for subtracting signed integers:
whether the addends have the same sign or opposite signs
order of operations
pentagon

3. The sum of a group of numbers divided by the number of numbers; also known as the average
Zero (0)
proportion
mean
the denominator of the original improper fraction

4. Total Sales or Revenue = ?
Sale Price - Unit Cost
Unit Price x Qty. Sold
One... the number 2
sample

5. A mathematical sentence that uses an equal sign
divisor
equation
quadrilateral
Fractions allow you to plot values between whole numbers and integers.

6. Rules that tell which steps to follow when solving an expression
'five squared'
rhombus
order of operations
common denominator

7. 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
The sum of all the integers from 20 to 100 - inclusive
Axiom V.
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
Magnitude

8. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
Number
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
right triangle
prism

9. The process of breaking a number down into its factors is called
quadrilateral
Step 1 of Converting Improper Fractions to Mixed Numbers
factoring
mixed number

10. Lines in the same plane that do not intersect. The symbol //
lowest terms
Computation
parallel lines
prime number

11. 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.
Axiom VIII.
improper fractions
Odd or Non-Int
Long Division

12. Total Earnings ($) = ?
Even
Wage Rate ($ per hr) x Hrs worked
The height of a triangle
prime factorization

13. How many Even primes are there?
equal to itself.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
One... the number 2
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.

14. Whole is equal in Multitude to a Part of the other.
ratio
acute angle
Equal
numerator

15. What are the properties of the diagonals of a Rhombus?
Even
simplify
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
To add integers that have opposite signs:

16. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Greater
higher terms
(Last - First + 1)
perimeter

17. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Species
Zero (0)
supplementary angles
A = (Base x Height) / 2 - A = (BH)/2

18. An evenly-spaced set is fully-defined if what is known...?
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
pyramid
Odd
Axiom IV.

19. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
dividend
order of operations
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Number

20. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
To add integers that have opposite signs:
Magnitude
product
radius

21. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
dividend
Mathematics
Odd
To square an equation to solve it

22. What are the only prime factors that a fraction resulting in a terminating decimals have?
order of operations
improper fraction
2 and/or 5 only
the denominator of the original improper fraction

23. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
factors of the multiplication operation
dividing the numerator and denominator by the same number
y-axis
More

24. A number that when multiplied by itself results in the original number
The height of a triangle
Composite number
0.625
square root

25. No integer (except 1) that divides evenly into both the numerator and denominator.
ratio
Absolute and Relative
proper fraction
reduced fraction

26. For there to be X unique factors of X - what must be true?
Every integer between 1 and X - inclusive - must be a factor of X
common denominator
Axiom II.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

27. A triangle with one right angle
Mathematics
The height of a triangle
hexagon
right triangle

28. Total Earnings ($) = ?
integers
Zero (0)
Wage Rate ($ per hr) x Hrs worked
polygon

29. The absolute value of the numerator is smaller than the absolute value of the denominator.
proper fraction
exponent
always clear the innermost groups first
A sum of 2 primes is Odd

30. Odd / Even = ? e.g. 9/6 = 1.5
Step 1 of Converting Improper Fractions to Mixed Numbers
product
Non-Int
hexagon

31. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
The bottom side of the triangle
square root
Converting Improper Fractions to Mixed Numbers
Relative multitude

32. The horizontal number line of a coordinate graph
Even
x-axis
Sale Price - Unit Cost
isosceles triangle

33. A number that is a multiple of all denominators in a problem.
dividing the numerator and denominator by the same number
polygon
Adding negative integers will always produce a negative sum
common denominator

34. In a division problem - it's the number being divided
Terminating decimal
area
dividend
y-axis

35. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
numerator
integer or whole number
Even and Odd
ratio

36. The whole is more or greater than its part.
Homogenous or Heterogenous
Line Segments
Same units
Axiom IV.

37. A fraction with all common factors (other than 1) factored out of the numerator and denominator
multiplier
vertex (vertices - plural)
lowest terms
factoring

38. A collection of things taken as a Unity. A bushel of wheat is a whole.
Change / Original Formula?
Even
Whole
Zero (0)

39. What is the only Even prime number?
When to use the Heavy Division Shortcut - and how to do it
Equal
median
2

40. Always perform the operations
Reducing fractions
product
from left to right
perimeter

41. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
Relative multitude
fraction or broken number
Line Segments
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

42. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
vertex (vertices - plural)
product
Reducing: The Brute-Force Method
median

43. Always perform combinations of multiplication and division before
combination of addition and subtraction
Known (Given) and Unknown (Sought)
Step 2 of Converting mixed numbers to improper fractions
Different Units

44. Is the opposite of raising fractions to higher terms.
Original x (1 - x/100) = New
Reducing fractions
Step 2 of Converting Improper Fractions to Mixed Numbers
Number Systems

45. In order to understand and use exponents that are fractions or decimals - you must first know about
0.625
( (Last - First) / Increment ) + 1
Even
roots of numbers

46. A number with an exponent of 2 is often said to be
squared
angle
x/100
When to use fractions

47. A quadrilateral with two pairs of congruent - parallel sides
Sale Price - Unit Cost
parallelogram
the denominator of the original improper fraction
integer or whole number

48. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
factoring
similar figures
Odd

49. The number doing the dividing is called the
quadrilateral
Different Units
inverse
divisor

50. The Sum of n consecutive integers is Not divisible by n if n is
ratio
Aliquot Part
Even
cylinder