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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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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. Is equal to the original value. a x 1 = 1
When the addends have the same sign both + or both -
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Any value multiplied by one
Shift DP 2 places right
2. The distance around a circle (the perimeter of a circle).
complementary angles
circumference
A = (Diagonal1 x Diagonal2) / 2
1 and itself
3. What is the perimeter of a Polygon?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
factors of the multiplication operation
To convert any fraction to higher terms
Step 1 of Converting mixed numbers to improper fractions
4. Always try to Factor a quadratic equation
before solving
Axiom II.
proportion
integer values
5. 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.
y-axis
numerator
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
multiplier
6. The terms Species and Number
1 and itself
Quantity is expressed
equal to itself.
Unity - or a Unit
7. One of the four regions formed by the intersection of the axes of a coordinate graph
To convert any fraction to higher terms
Composite number
mixed number
quadrant
8. In a division problem - it's the number being divided
dividend
Original x (1 - x/100) = New
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
inverse
9. A combination of numbers and variables connected by one or more operations signs
expression
Shift DP 2 places left
area
the denominator of the original improper fraction
10. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
When numbers do not divide evenly
Any value multiplied by one
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.
Species
11. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
pi
Is zero
lowest terms
Change + - Original = New
12. 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.
squared
Greater
Different Units
factor
13. Expresses fractional parts that are greater than 1.
mixed number
prime number
Axiom IX.
A plus sign (+) is used for two entirely different purposes:
14. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
proper fraction
polygon
The bottom side of the triangle
Positive-value integers
15. A parallelogram with all sides equal and congruent
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
scale drawing
rhombus
they have the same absolute value
16. The ratio of a number to 100 (per one hundred); the symbol %
percent
inverse operations
mixed fraction
Step 1 of Converting mixed numbers to improper fractions
17. A whole number can be expressed as an improper fraction by
putting that number over 1
denominator
Positive-value integers
Multitudes and Magnitudes
18. The Only possible factors for a prime number are
1 and itself
Even div. by 4
acute angle
proportion
19. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
whether the addends have the same sign or opposite signs
Shift DP 2 places left
equilateral triangle
To make sure to solve for Both cases.
20. The two kinds of Quantity are
Quantity is expressed
Step 1 of Converting Improper Fractions to Mixed Numbers
mixed fraction
Multitudes and Magnitudes
21. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
A plus sign (+) is used for two entirely different purposes:
Evaluating Powers With Negative Exponents
0.625
Unit Cost + Markup
22. Change/Original = New
Even - Odd or Non-Int
Percent Change
change the operation from subtraction to addition
When the addends have the same sign both + or both -
23. A number with an exponent of 3 is often said to be
integers
scalene triangle
percent
cubed
24. 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
Even
dividing the numerator and denominator by the same number
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
vertex (vertices - plural)
25. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
absolute value
change the operation from subtraction to addition
dividend
Both
26. A number that is a multiple of all denominators in a problem.
Any value multiplied by one
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
prism
common denominator
27. For there to be X unique factors of X - what must be true?
Reducing by the Largest Common Factor (LCF)
Every integer between 1 and X - inclusive - must be a factor of X
Being divided by a power of 10
ratio
28. ' x percent' = ?
referred to Unity in the same way
x/100
Aliquot and Aliquant Parts
Quantity is expressed
29. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
Aliquot and Aliquant Parts
putting that number over 1
Multitudes and Magnitudes
simplify
30. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
unit ratio
inverse operations
Parts
5/8
31. Total Earnings ($) = ?
reciprocal
always clear the innermost groups first
Wage Rate ($ per hr) x Hrs worked
Is equal to the original value
32. Breaking down a composite number until all of the factors are prime
Being divided by a power of 10
roots of numbers
prime factorization
Odd
33. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
Axiom II.
How the Last Digit Shortcut works
pyramid
fraction or broken number
34. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
exactly the same portion
they have the same absolute value
right triangle
y-coordinate
35. A value that combines a whole number and a fractional amount
2
percent
mixed number
supplementary angles
36. A number that is not a prime number is called a
composite number
Axiom VI.
Unit Price x Qty. Sold
perimeter
37. Is equal to zero. 0 x a = 0
Zero multiplied by any value
equation
Long Division
improper fraction
38. The whole is equal to all of its parts taken together.
Axiom V.
Equal
percent
mixed fraction
39. The largest single factor for two or more numbers.
greatest common factor (GCF)
diameter
x = (+-) a
farther to the right on the number line.
40. 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
Converting Improper Fractions to Mixed Numbers
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Whole
range
41. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Aliquot Part
least common multiple (LCM)
Composite number
When to use fractions
42. The smallest multiple that two or more numbers have in common
least common multiple (LCM)
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
parallelogram
integer values
43. 'y percent less than' = ?
Original x (1 - x/100) = New
Terminating decimal
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
1 - (y/100)
44. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
Zero (0)
square root
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
lowercase Variables
45. The process of breaking a number down into its factors is called
factoring
composite number
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?
proportion
46. The amount that remains after one number has been subtracted from another
difference
Multitudes and Magnitudes
Unit Price x Qty. Sold
ordered pair
47. The sum of a group of numbers divided by the number of numbers; also known as the average
mean
Number
putting that number over 1
2
48. Having the same size and shape
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?
base
ordered pair
congruent
49. Reducing fractions is
perimeter
dividing the numerator and denominator by the same number
range
Power notation
50. A fraction with all common factors (other than 1) factored out of the numerator and denominator
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
Shift DP 2 places left
roots of numbers
lowest terms
Can you answer 50 questions in 15 minutes?
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