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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. 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
Look Back
Irrational
Multiplicative Inverse:
2. 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.
Amplitude
per line
Continuous Symmetry
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.
3. If a whole number is not a prime number - then it is called a...
Composite Numbers
Group
The inverse of addition is subtraction
A number is divisible by 10
4. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab
Set up a Variable Dictionary.
Greatest Common Factor (GCF)
Box Diagram
A number is divisible by 9
5. 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.
A number is divisible by 9
Prime Number
Galois Theory
Bijection
6. 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.'
Genus
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
a - c = b - c
Hyperland
7. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).
Problem of the Points
Associate Property of Addition
A number is divisible by 9
Prime Number
8. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
division
Law of Large Numbers
The Set of Whole Numbers
Hamilton Cycle
9. An algebraic 'sentence' containing an unknown quantity.
Spherical Geometry
A number is divisible by 5
Spaceland
Polynomial
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
perimeter
Topology
4 + x = 12
˜
11. 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
Solve the Equation
The inverse of multiplication is division
left to right
12. Dimension is how mathematicians express the idea of degrees of freedom
Topology
Geometry
Dimension
Irrational
13. If a represents any whole number - then a
Multiplication by Zero
Dividing both Sides of an Equation by the Same Quantity
Greatest Common Factor (GCF)
The Set of Whole Numbers
14. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.
Non-Orientability
Markov Chains
Primes
Poincare Disk
15. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
a divided by b
1. The unit 2. Prime numbers 3. Composite numbers
Flat Land
Non-Euclidian Geometry
16. A way to measure how far away a given individual result is from the average result.
Standard Deviation
bar graph
division
The Riemann Hypothesis
17. Solving Equations
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
Division is not Associative
The Prime Number Theorem
each whole number can be uniquely decomposed into products of primes.
18. A factor tree is a way to visualize a number's
Associative Property of Addition:
Hamilton Cycle
Composite Numbers
prime factors
19. An arrangement where order matters.
Additive Identity:
4 + x = 12
Permutation
The Riemann Hypothesis
20. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Continuous
Group
Commensurability
variable
21. 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
Pigeonhole Principle
The Riemann Hypothesis
Products and Factors
De Bruijn Sequence
22. If a = b then
Equivalent Equations
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Set up a Variable Dictionary.
a - c = b - c
23. Let a - b - and c be any whole numbers. Then - a
The Distributive Property (Subtraction)
Hypersphere
Associative Property of Addition:
counting numbers
24. Multiplication is equivalent to
Answer the Question
Equivalent Equations
a divided by b
repeated addition
25. If a and b are any whole numbers - then a
Hypersphere
Commutative Property of Multiplication
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Fourier Analysis
26. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Commutative Property of Multiplication
Markov Chains
Properties of Equality
27. Is a path that visits every node in a graph and ends where it began.
Hamilton Cycle
Fourier Analysis
Set up an Equation
Euler Characteristic
28. A · 1 = 1 · a = a
Line Land
Multiplicative Identity:
Complete Graph
Irrational
29. If its final digit is a 0.
A number is divisible by 10
Flat Land
set
Commutative Property of Multiplication
30. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Problem of the Points
Divisible
Overtone
a divided by b
31. 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.
left to right
a
Modular Arithmetic
Prime Number
32. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
A number is divisible by 3
Amplitude
Probability
Comparison Property
33. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
Solution
Line Land
a · c = b · c for c does not equal 0
Prime Number
34. Originally known as analysis situs
Dividing both Sides of an Equation by the Same Quantity
Topology
Factor Trees
Equation
35. 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
Look Back
Primes
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
Composite Numbers
36. Aka The Osculating Circle - a way to measure the curvature of a line.
Rational
Poincare Disk
The Kissing Circle
Non-Euclidian Geometry
37. Writing Mathematical equations - arrange your work one equation
per line
In Euclidean four-space
Periodic Function
Solution
38. 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.
Ramsey Theory
Geometry
repeated addition
Axiomatic Systems
39. Index p radicand
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
1. The unit 2. Prime numbers 3. Composite numbers
Conditional Probability
Amplitude
40. 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.
Variable
Fundamental Theorem of Arithmetic
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
Hyperbolic Geometry
41. All integers are thus divided into three classes:
The inverse of addition is subtraction
1. The unit 2. Prime numbers 3. Composite numbers
A number is divisible by 9
bar graph
42. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Solution
Discrete
˜
Invarient
43. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
bar graph
The Riemann Hypothesis
Composite Numbers
Rarefactior
44. The study of shape from an external perspective.
Look Back
Extrinsic View
Hypercube
Countable
45. 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.
Complete Graph
Configuration Space
Division is not Commutative
Cardinality
46. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
repeated addition
Genus
The BML Traffic Model
Additive Inverse:
47. If grouping symbols are nested
The inverse of subtraction is addition
Amplitude
evaluate the expression in the innermost pair of grouping symbols first.
Periodic Function
48. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Overtone
Continuous
set
Problem of the Points
49. The fundamental theorem of arithmetic says that
Cayley's Theorem
each whole number can be uniquely decomposed into products of primes.
Polynomial
Multiplicative Inverse:
50. Add and subtract
Probability
Galois Theory
Line Land
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