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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. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A
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2. If a and b are any whole numbers - then a
Commutative Property of Multiplication:
Set up a Variable Dictionary.
Commutative Property of Multiplication
variable
3. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
The Set of Whole Numbers
˜
Line Land
Irrational
4. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
a divided by b
Flat Land
left to right
The Associative Property of Multiplication
5. If a whole number is not a prime number - then it is called a...
Wave Equation
Composite Numbers
Hyperland
Torus
6. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Genus
The BML Traffic Model
Fourier Analysis and Synthesis
Additive Identity:
7. A + (-a) = (-a) + a = 0
Additive Inverse:
Expected Value
Principal Curvatures
Least Common Multiple (LCM)
8. The fundamental theorem of arithmetic says that
each whole number can be uniquely decomposed into products of primes.
Hypersphere
Noether's Theorem
Modular Arithmetic
9. All integers are thus divided into three classes:
1. The unit 2. Prime numbers 3. Composite numbers
Topology
Expected Value
Group
10. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is
The Same
Modular Arithmetic
4 + x = 12
Extrinsic View
11. Is the shortest string that contains all possible permutations of a particular length from a given set.
Associative Property of Addition:
Normal Distribution
De Bruijn Sequence
Composite Numbers
12. (a
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Division is not Associative
Discrete
Problem of the Points
13. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
Intrinsic View
Commutative Property of Addition:
One equal sign per line
Expected Value
14. A + 0 = 0 + a = a
Irrational
Additive Identity:
Law of Large Numbers
Properties of Equality
15. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'
Equation
Hypersphere
The Prime Number Theorem
Stereographic Projection
16. Are the fundamental building blocks of arithmetic.
Multiplying both Sides of an Equation by the Same Quantity
Primes
repeated addition
the set of natural numbers
17. Original Balance minus River Tam's Withdrawal is Current Balance
Irrational
B - 125 = 1200
˜
Expected Value
18. 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
perimeter
Complete Graph
Intrinsic View
19. The system that Euclid used in The Elements
division
Additive Inverse:
Standard Deviation
Axiomatic Systems
20. Has no factors other than 1 and itself
Commutative Property of Multiplication
each whole number can be uniquely decomposed into products of primes.
A prime number
Ramsey Theory
21. 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.
the set of natural numbers
Bijection
does not change the solution set.
division
22. If a = b then
a
The Additive Identity Property
The Distributive Property (Subtraction)
Prime Number
23. Writing Mathematical equations - arrange your work one equation
A number is divisible by 9
bar graph
Principal Curvatures
per line
24. 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.
Galton Board
Grouping Symbols
does not change the solution set.
The Additive Identity Property
25. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression
Public Key Encryption
Fourier Analysis and Synthesis
Properties of Equality
Rarefactior
26. 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.
Polynomial
Noether's Theorem
Non-Orientability
Modular Arithmetic
27. Originally known as analysis situs
Multiplication by Zero
Topology
General Relativity
Set up a Variable Dictionary.
28. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
A number is divisible by 3
a
Associate Property of Addition
Torus
29. 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 -
The inverse of subtraction is addition
Markov Chains
A number is divisible by 3
Distributive Property:
30. The study of shape from an external perspective.
Normal Distribution
Poincare Disk
the set of natural numbers
Extrinsic View
31. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco
Division by Zero
Continuous
a · c = b · c for c does not equal 0
Look Back
32. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a
The inverse of multiplication is division
Spaceland
Rarefactior
prime factors
33. 1. Find the prime factorizations of each number.
Hyperland
Box Diagram
Genus
Greatest Common Factor (GCF)
34. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
Set up an Equation
variable
Amplitude
Line Land
35. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
Cayley's Theorem
Invarient
The Set of Whole Numbers
The inverse of subtraction is addition
36. Dimension is how mathematicians express the idea of degrees of freedom
Associative Property of Addition:
Euler Characteristic
Complete Graph
Dimension
37. Multiplication is equivalent to
prime factors
Discrete
General Relativity
repeated addition
38. If a is any whole number - then a
Spherical Geometry
Prime Number
Geometry
The Multiplicative Identity Property
39. The amount of displacement - as measured from the still surface line.
Comparison Property
Amplitude
Solve the Equation
Discrete
40. Add and subtract
inline
Axiomatic Systems
Probability
Division is not Commutative
41. If a represents any whole number - then a
Multiplication by Zero
Non-Orientability
Dividing both Sides of an Equation by the Same Quantity
Divisible
42. Is a symbol (usually a letter) that stands for a value that may vary.
Variable
Genus
Fourier Analysis
The Kissing Circle
43. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
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44. Perform all additions and subtractions in the order presented
left to right
Geometry
Markov Chains
Cardinality
45. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina
Associate Property of Addition
Factor Trees
Modular Arithmetic
A number is divisible by 9
46. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
Standard Deviation
a
Central Limit Theorem
4 + x = 12
47. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of
Continuous
Hypersphere
Pigeonhole Principle
a · c = b · c for c does not equal 0
48. 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
Hypercube
inline
Public Key Encryption
The Same
49. To describe and extend a numerical pattern
The Multiplicative Identity Property
The Kissing Circle
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.
The Associative Property of Multiplication
50. A way to measure how far away a given individual result is from the average result.
Overtone
Figurate Numbers
Continuous
Standard Deviation
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