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Test your basic knowledge |
CLEP General Math: Number Sense - Patterns - Algebraic Thinking
Start Test
Study First
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. If its final digit is a 0.
The BML Traffic Model
Multiplying both Sides of an Equation by the Same Quantity
A number is divisible by 10
Look Back
2. A + (-a) = (-a) + a = 0
Flat Land
Additive Inverse:
Properties of Equality
Least Common Multiple (LCM)
3. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
inline
Configuration Space
Expected Value
Markov Chains
4. Uses second derivatives to relate acceleration in space to acceleration in time.
Torus
Wave Equation
Fundamental Theorem of Arithmetic
Commensurability
5. If grouping symbols are nested
evaluate the expression in the innermost pair of grouping symbols first.
a - c = b - c
Topology
per line
6. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.
Set up a Variable Dictionary.
Non-Orientability
Continuous Symmetry
Fourier Analysis
7. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Genus
Complete Graph
Comparison Property
Look Back
8. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
Multiplying both Sides of an Equation by the Same Quantity
Transfinite
Look Back
Countable
9. 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.
Ramsey Theory
Frequency
Tone
Transfinite
10. 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.
Rarefactior
does not change the solution set.
prime factors
In Euclidean four-space
11. 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
Normal Distribution
Look Back
Torus
Equation
12. To describe and extend a numerical pattern
a - c = b - c
Figurate Numbers
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.
A number is divisible by 3
13. 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
Invarient
variable
Symmetry
14. Is a path that visits every node in a graph and ends where it began.
Hamilton Cycle
a
Spherical Geometry
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.
15. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Associative Property of Multiplication:
Hypersphere
Non-Euclidian Geometry
16. 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
Periodic Function
A number is divisible by 10
Prime Deserts
The inverse of multiplication is division
17. Let a and b represent two whole numbers. Then - a + b = b + a.
Hyperland
Associative Property of Addition:
˜
The Commutative Property of Addition
18. Has no factors other than 1 and itself
Polynomial
The Commutative Property of Addition
A prime number
Euler Characteristic
19. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
Multiplication
Aleph-Null
The Riemann Hypothesis
Non-Euclidian Geometry
20. An arrangement where order matters.
Transfinite
Permutation
Hypersphere
Principal Curvatures
21. The expression a/b means
Fourier Analysis and Synthesis
Spaceland
Aleph-Null
a divided by b
22. The amount of displacement - as measured from the still surface line.
Amplitude
A number is divisible by 5
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Line Land
23. A · 1 = 1 · a = a
Multiplicative Identity:
Axiomatic Systems
variable
Law of Large Numbers
24. 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)
Division is not Commutative
Commensurability
Stereographic Projection
Multiplying both Sides of an Equation by the Same Quantity
25. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
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.
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Discrete
Multiplication by Zero
26. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
The Additive Identity Property
A number is divisible by 9
Multiplicative Inverse:
set
27. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Commensurability
Associate Property of Addition
Stereographic Projection
Polynomial
28. × - ( )( ) - · - 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
Multiplication
perimeter
Normal Distribution
Rarefactior
29. A(b + c) = a · b + a · c a(b - c) = a · b - a · c
The Set of Whole Numbers
Hamilton Cycle
Distributive Property:
Fourier Analysis
30. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
Line Land
Divisible
1. The unit 2. Prime numbers 3. Composite numbers
Spherical Geometry
31. The study of shape from an external perspective.
Extrinsic View
The Same
4 + x = 12
In Euclidean four-space
32. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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33. 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.'
1. Simplify the expression on either side of the equation. 2. Gather the variable term on the left-hand side (LHS) by adding to both sides. the opposite of the variable term on the right-hand side (RHS). Note: either side is fine but we will consiste
Discrete
Hyperland
Solution
34. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
Central Limit Theorem
a
The Multiplicative Identity Property
Comparison Property
35. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).
The Kissing Circle
A number is divisible by 9
a - c = b - c
Normal Distribution
36. 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
Associate Property of Addition
Hypercube
B - 125 = 1200
Intrinsic View
37. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Continuous Symmetry
Hypersphere
Cardinality
Problem of the Points
38. (a
Hyperland
Division is not Associative
Unique Factorization Theorem
De Bruijn Sequence
39. 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).
Non-Euclidian Geometry
Law of Large Numbers
A number is divisible by 3
Non-Orientability
40. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
bar graph
a + c = b + c
The Multiplicative Identity Property
Overtone
41. 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.
Unique Factorization Theorem
a - c = b - c
A number is divisible by 10
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
42. This method can create a flat map from a curved surface while preserving all angles in any features present.
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.
Cardinality
Hamilton Cycle
Stereographic Projection
43. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.
Commutative Property of Multiplication:
Set up an Equation
variable
Law of Large Numbers
44. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a
a - c = b - c
Divisible
Multiplying both Sides of an Equation by the Same Quantity
A number is divisible by 5
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.
Greatest Common Factor (GCF)
Associate Property of Addition
Figurate Numbers
Modular Arithmetic
46. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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47. A way to measure how far away a given individual result is from the average result.
Noether's Theorem
The Distributive Property (Subtraction)
Box Diagram
Standard Deviation
48. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.
Configuration Space
One equal sign per line
Set up an Equation
Cardinality
49. A + 0 = 0 + a = a
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.
Primes
Additive Identity:
Products and Factors
50. 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.'
The Prime Number Theorem
Geometry
Line Land
Comparison Property