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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. A quadrilateral with two pairs of congruent - parallel sides
A plus sign (+) is used for two entirely different purposes:
parallelogram
Equality
To add integers that have opposite signs:

2. The result of muliplying two or more numbers
product
mixed fractions
Percent Change
Every integer between 1 and X - inclusive - must be a factor of X

3. An angle that measures 90 degrees
right angle
2
Computation
( (Last - First) / Increment ) + 1

4. The number doing the dividing is called the
equal to 1
Even
divisor
1

5. 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.
Unity - or a Unit
Axiom V.
'five squared'
Converting mixed numbers to improper fractions.

6. Rules that tell which steps to follow when solving an expression.
mixed fractions
order of operations
Homogenous or Heterogenous
improper fraction

7. Total Earnings ($) = ?
Odd
Aliquot Part
Wage Rate ($ per hr) x Hrs worked
Step 2 of Converting mixed numbers to improper fractions

8. What are the properties of the diagonals of a Rhombus?
unit ratio
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Relative multitude
To find out - easily - if one fraction is bigger than another

9. 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
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
both integers are positive or both are negative
1 and itself

10. An angle that measures 180 degrees
x/100
the Complement of that part to the whole
straight angle
exactly the same portion

11. The vertical number line of a coordinate graph
denominator
Subtracting Signed Integers
Multitude
y-axis

12. 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
2^3 = 8
When you are absolutely sure the variable or expression <> 0
Mathematics
Axiom III.

13. .625 --> Percent?
range
62.5%
parallel lines
parallelogram

14. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
Reducing by the Largest Common Factor (LCF)
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Unit Cost + Markup

15. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
Relative multitude
When the addends have opposite signs one is + and the other is -
equal to itself.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

16. 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.
Always completed first
Mathematics
Converting Improper Fractions to Mixed Numbers
The concept of trading decimal places and how it works

17. 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
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.
mixed number
divisor
Axiom V.

18. The absolute value of the numerator is smaller than the absolute value of the denominator.
combination of addition and subtraction
quadrilateral
Even - Odd or Non-Int
proper fraction

19. A parallelogram with all sides equal and congruent
proportion
rhombus
Arithmetic - Music - Geometry and Astronomy
Mathematics

20. A Polygon is a closed shape formed by
y-axis
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Revenue ($) - Cost ($)
Line Segments

21. 3 ways to solve an absolute value inequality
Unit Price x Qty. Sold
denominator
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
Adding negative integers will always produce a negative sum

22. Every lesser number is contained in a greater more than once.
Axiom VIII.
one is positive and the other is negative
polygon
Axiom VI.

23. Always try to Factor a quadratic equation
To add integers that have opposite signs:
before solving
difference
similar figures

24. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
straight angle
common denominator
Arithmetic - Music - Geometry and Astronomy
radius

25. Is the disagreement of things in Quantity.
parallelogram
complementary angle
To square an equation to solve it
Inequality

26. The action of the mind whereby a quantity is measured by Unity or a Unit.
scalene triangle
mode
Computation
Quantity is expressed

27. The two kinds of Multitude
Absolute and Relative
The sum of all the integers from 20 to 100 - inclusive
perimeter
scalene triangle

28. Area of a Rhombus is?
median
Sale Price - Unit Cost
A = (D1 x D2) / 2
factor

29. A polygon with five sides
Reducing by the Largest Common Factor (LCF)
Line Segments
pentagon
factors of the multiplication operation

30. The Sum of n consecutive integers is divisible by n if n is
ratio
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?
Odd
polygon

31. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
integer or whole number
The rule for adding negative integers is the same as the rule for adding positive integers:
( (Last - First) / Increment ) + 1
probability

32. What are the rules for picking numbers in VICS?
equal to 1 divided by that number with a positive exponent
Evaluating Powers With Negative Exponents
One... the number 2
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

33. When the product in the 1's column is greater than 9

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34. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
x-axis
contains only a single number
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

35. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
y-axis
one is positive and the other is negative
inverse operations
Proof

36. A polygon that has four sides
equal to 1 divided by that number with a positive exponent
Known quantities
2^3 = 8
quadrilateral

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

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38. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
quotient
the Complement of that part to the whole
Species
lowercase letters

39. The horizontal number line of a coordinate graph
x-axis
Odd
prime number
1

40. The numerator is greater than - or equal to - the denominator
The sum of all the integers from 20 to 100 - inclusive
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
To add integers that have opposite signs:
improper fraction

41. 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
1
improper fractions
median

42. A mathematical sentence that uses an equal sign
Unknown quantities
cylinder
Odd
equation

43. A statement that needs to be demonstrated and is called in Latin demonstrandum.
pyramid
angle
Any value multiplied by one
theorem

44. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
rectangle
equilateral triangle
squared
Magnitude

45. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Known (Given) and Unknown (Sought)
Even
Step 1 of Converting mixed numbers to improper fractions
higher terms

46. The lower number in a fraction is the
improper fraction
denominator
Even
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

47. How many Even primes are there?
Equality
cubed
One... the number 2
prime factorization

48. Species are distinguished into
( (Last - First) / Increment ) + 1
change the operation from subtraction to addition
The concept of trading decimal places and how it works
Known (Given) and Unknown (Sought)

49. What is the increment of a set of consecutive integers?
mixed number
from left to right
Computation
1

50. 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
Magnitude at Rest and Magnitude in Motion
Subtracting Signed Integers
combination of addition and subtraction
ordered pair