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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.
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. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Continuous
Distributive Property:
Associative Property of Addition:
Figurate Numbers
2. A + 0 = 0 + a = a
Additive Identity:
Public Key Encryption
Complete Graph
Comparison Property
3. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.
perimeter
Bijection
˜
does not change the solution set.
4. Negative
Pigeonhole Principle
Sign Rules for Division
Torus
left to right
5. A · b = b · a
Additive Identity:
Commutative Property of Addition:
Flat Land
Commutative Property of Multiplication:
6. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).
A number is divisible by 3
Modular Arithmetic
1. Find a relationship between the first and second numbers. 2. Then we see if the relationship is true for the second and third numbers - the third and fourth - and so on.
Grouping Symbols
7. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
Set up a Variable Dictionary.
Central Limit Theorem
Fourier Analysis and Synthesis
Polynomial
8. Is a symbol (usually a letter) that stands for a value that may vary.
Variable
Multiplication
The Distributive Property (Subtraction)
Markov Chains
9. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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10. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.
Exponents
Genus
Spaceland
Commensurability
11. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
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12. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -
Standard Deviation
The inverse of subtraction is addition
a + c = b + c
Commensurability
13. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator
A number is divisible by 3
Denominator
The inverse of multiplication is division
Configuration Space
14. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.
Hamilton Cycle
does not change the solution set.
Modular Arithmetic
Permutation
15. Original Balance minus River Tam's Withdrawal is Current Balance
Polynomial
Grouping Symbols
The Associative Property of Multiplication
B - 125 = 1200
16. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
Answer the Question
Axiomatic Systems
Additive Identity:
The Additive Identity Property
17. If a and b are any whole numbers - then a
The Same
The Commutative Property of Addition
Standard Deviation
Commutative Property of Multiplication
18. 1. Find the prime factorizations of each number.
Periodic Function
Greatest Common Factor (GCF)
Discrete
Polynomial
19. Positive integers are
Problem of the Points
counting numbers
Factor Trees
Symmetry
20. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
per line
Extrinsic View
Figurate Numbers
counting numbers
21. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar
The Associative Property of Multiplication
Least Common Multiple (LCM)
The inverse of multiplication is division
The Commutative Property of Addition
22. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
The Distributive Property (Subtraction)
Pigeonhole Principle
Division is not Associative
Expected Value
23. Uses second derivatives to relate acceleration in space to acceleration in time.
set
prime factors
Wave Equation
Associate Property of Addition
24. If its final digit is a 0 or 5.
˜
a - c = b - c
A number is divisible by 5
Transfinite
25. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.
Complete Graph
The inverse of multiplication is division
Division is not Associative
Galton Board
26. A way to measure how far away a given individual result is from the average result.
Genus
Standard Deviation
The Kissing Circle
Hamilton Cycle
27. Determines the likelihood of events that are not independent of one another.
Look Back
division
Unique Factorization Theorem
Conditional Probability
28. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Fundamental Theorem of Arithmetic
Central Limit Theorem
B - 125 = 1200
Genus
29. 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
Associative Property of Addition:
Composite Numbers
Hyperbolic Geometry
30. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Tone
Normal Distribution
The Distributive Property (Subtraction)
Euclid's Postulates
31. The amount of displacement - as measured from the still surface line.
Continuous Symmetry
Amplitude
Divisible
each whole number can be uniquely decomposed into products of primes.
32. A + b = b + a
Galton Board
Normal Distribution
A number is divisible by 10
Commutative Property of Addition:
33. Aka The Osculating Circle - a way to measure the curvature of a line.
Spaceland
Public Key Encryption
Intrinsic View
The Kissing Circle
34. A factor tree is a way to visualize a number's
prime factors
Denominator
Prime Number
Conditional Probability
35. The study of shape from an external perspective.
a · c = b · c for c does not equal 0
Extrinsic View
Irrational
Hamilton Cycle
36. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
The Multiplicative Identity Property
prime factors
Cayley's Theorem
In Euclidean four-space
37. The study of shape from the perspective of being on the surface of the shape.
Intrinsic View
Comparison Property
Divisible
Hyperbolic Geometry
38. Originally known as analysis situs
Topology
Set up a Variable Dictionary.
perimeter
Overtone
39. Perform all additions and subtractions in the order presented
Continuous Symmetry
left to right
General Relativity
set
40. A
Geometry
Commutative Property of Addition:
Division is not Commutative
Overtone
41. Requirements for Word Problem Solutions.
Answer the Question
Topology
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
De Bruijn Sequence
42. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Solution
Flat Land
Modular Arithmetic
The Associative Property of Multiplication
43. Are the fundamental building blocks of arithmetic.
Primes
Box Diagram
Commutative Property of Multiplication
Properties of Equality
44. Let a - b - and c be any whole numbers. Then - a
Divisible
˜
The Distributive Property (Subtraction)
Associate Property of Addition
45. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
Multiplying both Sides of an Equation by the Same Quantity
The Set of Whole Numbers
Probability
Fundamental Theorem of Arithmetic
46. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.
Normal Distribution
Public Key Encryption
Grouping Symbols
1. The unit 2. Prime numbers 3. Composite numbers
47. If a whole number is not a prime number - then it is called a...
Solve the Equation
Composite Numbers
Prime Number
Commensurability
48. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.
Spherical Geometry
De Bruijn Sequence
each whole number can be uniquely decomposed into products of primes.
Denominator
49. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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50. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com
Set up an Equation
Set up a Variable Dictionary.
A prime number
Frequency