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Test your basic knowledge |
CLEP General Math: Number Sense - Patterns - Algebraic Thinking
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Subjects
:
clep
,
math
,
algebra
Instructions:
Answer 50 questions in 15 minutes.
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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. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.
Associate Property of Addition
The Distributive Property (Subtraction)
variable
Hyperbolic Geometry
2. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -
Torus
Set up a Variable Dictionary.
Permutation
The inverse of addition is subtraction
3. A factor tree is a way to visualize a number's
Exponents
prime factors
Standard Deviation
Expected Value
4. Let a and b represent two whole numbers. Then - a + b = b + a.
Invarient
The Commutative Property of Addition
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
left to right
5. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
Frequency
Expected Value
Markov Chains
Additive Inverse:
6. Determines the likelihood of events that are not independent of one another.
Amplitude
Prime Number
Conditional Probability
The inverse of addition is subtraction
7. Has no factors other than 1 and itself
Poincare Disk
A prime number
Products and Factors
Spherical Geometry
8. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
Standard Deviation
Countable
Markov Chains
Additive Inverse:
9. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'
inline
Irrational
Divisible
Ramsey Theory
10. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t
Denominator
a
Topology
perimeter
11. If a represents any whole number - then a
4 + x = 12
a · c = b · c for c does not equal 0
Commutative Property of Multiplication:
Multiplication by Zero
12. A + (-a) = (-a) + a = 0
Geometry
Permutation
Additive Inverse:
Ramsey Theory
13. Cannot be written as a ratio of natural numbers.
Spaceland
Rational
Commensurability
Irrational
14. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.
Poincare Disk
Multiplication by Zero
Ramsey Theory
The inverse of addition is subtraction
15. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.
The Multiplicative Identity Property
inline
Axiomatic Systems
Unique Factorization Theorem
16. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
Central Limit Theorem
General Relativity
Probability
Galois Theory
17. The state of appearing unchanged.
Hypersphere
Invarient
Figurate Numbers
Axiomatic Systems
18. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.
Commensurability
bar graph
Exponents
Divisible
19. A + 0 = 0 + a = a
Hypercube
Geometry
Torus
Additive Identity:
20. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.
The BML Traffic Model
Hamilton Cycle
Multiplicative Identity:
division
21. If a - b - and c are any whole numbers - then a
A number is divisible by 10
Wave Equation
The Associative Property of Multiplication
Normal Distribution
22. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator
Denominator
Fourier Analysis and Synthesis
Factor Trees
Modular Arithmetic
23. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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24. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'
Axiomatic Systems
Hyperland
Complete Graph
per line
25. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
The Set of Whole Numbers
General Relativity
The Kissing Circle
The Prime Number Theorem
26. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Overtone
bar graph
Non-Euclidian Geometry
Configuration Space
27. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
A prime number
Noether's Theorem
Answer the Question
The Additive Identity Property
28. The amount of displacement - as measured from the still surface line.
Amplitude
evaluate the expression in the innermost pair of grouping symbols first.
Properties of Equality
Set up an Equation
29. (a + b) + c = a + (b + c)
Cardinality
1. Mark the place you wish to round to. This is called the rounding digit . 2. Check the next digit to the right of your digit marked in step 1. This is called the test digit . If the test digit is greater than or equal to 5 - add 1 to the rounding d
Bijection
Associative Property of Addition:
30. Negative
A number is divisible by 3
One equal sign per line
Poincare Disk
Sign Rules for Division
31. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Multiplication
Factor Trees
Tone
Associate Property of Addition
32. Division by zero is undefined. Each of the expressions 6
Division by Zero
Solve the Equation
counting numbers
Fourier Analysis
33. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Galton Board
Hypercube
Law of Large Numbers
34. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)
Answer the Question
Solve the Equation
Commensurability
The Associative Property of Multiplication
35. Let a - b - and c be any whole numbers. Then - a
Periodic Function
Box Diagram
Prime Deserts
The Distributive Property (Subtraction)
36. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.
Commutative Property of Addition:
The Additive Identity Property
Transfinite
Answer the Question
37. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t
Factor Tree Alternate Approach
Exponents
Aleph-Null
Least Common Multiple (LCM)
38. If a = b then
Spaceland
a · c = b · c for c does not equal 0
The Kissing Circle
B - 125 = 1200
39. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
Amplitude
a divided by b
Extrinsic View
Line Land
40. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
Exponents
In Euclidean four-space
Rational
Answer the Question
41. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo
Hypercube
˜
Genus
Pigeonhole Principle
42. Requirements for Word Problem Solutions.
Additive Inverse:
Problem of the Points
Comparison Property
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
43. Is a symbol (usually a letter) that stands for a value that may vary.
Variable
Figurate Numbers
Conditional Probability
Line Land
44. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even
Division is not Commutative
Multiplication
Stereographic Projection
Symmetry
45. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.
Bijection
Hyperbolic Geometry
˜
Modular Arithmetic
46. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Least Common Multiple (LCM)
Invarient
Associate Property of Addition
Flat Land
47. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Box Diagram
set
Solve the Equation
Bijection
48. Index p radicand
Associative Property of Multiplication:
The BML Traffic Model
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Probability
49. The study of shape from the perspective of being on the surface of the shape.
Intrinsic View
Prime Number
The Riemann Hypothesis
Modular Arithmetic
50. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Frequency
Periodic Function
Commutative Property of Multiplication:
bar graph
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