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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. A flat map of hyperbolic space.
Central Limit Theorem
Configuration Space
Invarient
Poincare Disk
2. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
The inverse of multiplication is division
set
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
prime factors
3. 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.'
Comparison Property
Divisible
Prime Deserts
Galton Board
4. 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).
Division by Zero
Configuration Space
A number is divisible by 3
Equivalent Equations
5. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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6. × - ( )( ) - · - 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
Irrational
evaluate the expression in the innermost pair of grouping symbols first.
Complete Graph
Multiplication
7. An important part of problem solving is identifying
variable
Hypercube
Products and Factors
The inverse of subtraction is addition
8. 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 inverse of multiplication is division
Irrational
Permutation
Normal Distribution
9. The study of shape from the perspective of being on the surface of the shape.
Polynomial
does not change the solution set.
Symmetry
Intrinsic View
10. Requirements for Word Problem Solutions.
Multiplication
The BML Traffic Model
Additive Identity:
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
11. Is a path that visits every node in a graph and ends where it began.
Hamilton Cycle
Ramsey Theory
Countable
A number is divisible by 9
12. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to
Associative Property of Multiplication:
Geometry
Cardinality
Probability
13. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.
Grouping Symbols
Frequency
Discrete
Public Key Encryption
14. Positive integers are
Multiplicative Inverse:
Figurate Numbers
The Associative Property of Multiplication
counting numbers
15. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Overtone
˜
a - c = b - c
Dimension
16. 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
a · c = b · c for c does not equal 0
Rarefactior
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.
Additive Identity:
17. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.
Principal Curvatures
Symmetry
Variable
Fourier Analysis and Synthesis
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
Torus
Denominator
division
Periodic Function
19. 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 Commutative Property of Addition
4 + x = 12
Rarefactior
does not change the solution set.
20. Are the fundamental building blocks of arithmetic.
Line Land
Hypercube
Multiplicative Inverse:
Primes
21. If a represents any whole number - then a
Galton Board
Box Diagram
Multiplication by Zero
Principal Curvatures
22. An arrangement where order matters.
Permutation
Symmetry
Equation
Law of Large Numbers
23. 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
the set of natural numbers
Multiplying both Sides of an Equation by the Same Quantity
Prime Deserts
Grouping Symbols
24. Arise from the attempt to measure all quantities with a common unit of measure.
Rational
Probability
counting numbers
One equal sign per line
25. Index p radicand
Conditional Probability
Aleph-Null
Division is not Commutative
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
26. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or
Symmetry
The inverse of multiplication is division
Additive Identity:
perimeter
27. A point in three-dimensional space requires three numbers to fix its location.
Spaceland
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Tone
Dimension
28. A
Associate Property of Addition
Spaceland
Additive Inverse:
Division is not Commutative
29. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
Variable
A number is divisible by 10
General Relativity
Fourier Analysis and Synthesis
30. Multiplication is equivalent to
repeated addition
Products and Factors
a - c = b - c
Prime Deserts
31. If a and b are any whole numbers - then a
Least Common Multiple (LCM)
Commutative Property of Multiplication
Equivalent Equations
A number is divisible by 9
32. The state of appearing unchanged.
Set up an Equation
Invarient
A number is divisible by 10
a
33. 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 -
Genus
The inverse of addition is subtraction
Commutative Property of Addition:
Problem of the Points
34. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
Conditional Probability
Permutation
Polynomial
Galois Theory
35. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.
Geometry
The inverse of subtraction is addition
set
The inverse of multiplication is division
36. A · 1/a = 1/a · a = 1
Normal Distribution
Configuration Space
Multiplicative Inverse:
Dividing both Sides of an Equation by the Same Quantity
37. 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.
Continuous Symmetry
Associative Property of Addition:
Properties of Equality
Distributive Property:
38. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.
Solution
Denominator
One equal sign per line
In Euclidean four-space
39. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Genus
Properties of Equality
The Distributive Property (Subtraction)
Amplitude
40. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
inline
Countable
division
Denominator
41. Einstein's famous theory - relates gravity to the curvature of spacetime.
a
General Relativity
Dividing both Sides of an Equation by the Same Quantity
Rarefactior
42. Let a - b - and c be any whole numbers. Then - a
Non-Euclidian Geometry
The Distributive Property (Subtraction)
a + c = b + c
A number is divisible by 3
43. A + 0 = 0 + a = a
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Countable
Dividing both Sides of an Equation by the Same Quantity
Additive Identity:
44. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
Transfinite
General Relativity
Central Limit Theorem
Expected Value
45. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
Sign Rules for Division
Prime Deserts
a divided by b
Cardinality
46. If its final digit is a 0.
A number is divisible by 10
Noether's Theorem
Additive Identity:
One equal sign per line
47. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
Wave Equation
Set up an Equation
Fourier Analysis and Synthesis
Grouping Symbols
48. 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.
Multiplicative Inverse:
Exponents
4 + x = 12
Poincare Disk
49. Let a and b represent two whole numbers. Then - a + b = b + a.
Transfinite
The Commutative Property of Addition
The inverse of subtraction is addition
Symmetry
50. A number is divisible by 2
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Factor Trees
Extrinsic View
Additive Identity: