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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. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Box Diagram
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Hyperland
Answer the Question
2. 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 set of natural numbers
Overtone
3. A flat map of hyperbolic space.
Poincare Disk
The Kissing Circle
Rarefactior
4 + x = 12
4. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
Answer the Question
Set up an Equation
Greatest Common Factor (GCF)
Principal Curvatures
5. A
Denominator
Symmetry
Division is not Commutative
Dimension
6. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
Division by Zero
Prime Deserts
Fundamental Theorem of Arithmetic
Intrinsic View
7. 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.
Solve the Equation
Rational
Bijection
the set of natural numbers
8. 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
Division is not Associative
Division by Zero
Symmetry
Solution
9. 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-Euclidian Geometry
Non-Orientability
Equivalent Equations
Multiplicative Inverse:
10. Has no factors other than 1 and itself
Line Land
The BML Traffic Model
A prime number
Aleph-Null
11. Aka The Osculating Circle - a way to measure the curvature of a line.
per line
The Kissing Circle
Fundamental Theorem of Arithmetic
Periodic Function
12. If a whole number is not a prime number - then it is called a...
Variable
Composite Numbers
Continuous Symmetry
Fourier Analysis
13. 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.
bar graph
Principal Curvatures
Problem of the Points
Figurate Numbers
14. A · 1 = 1 · a = a
Multiplicative Identity:
Extrinsic View
Standard Deviation
Dimension
15. If its final digit is a 0.
A number is divisible by 10
Fourier Analysis
variable
The inverse of addition is subtraction
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
The inverse of multiplication is division
Division is not Commutative
evaluate the expression in the innermost pair of grouping symbols first.
Irrational
17. The fundamental theorem of arithmetic says that
Exponents
Frequency
Modular Arithmetic
each whole number can be uniquely decomposed into products of primes.
18. 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.
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Galton Board
Problem of the Points
The Kissing Circle
19. Let a - b - and c be any whole numbers. Then - a
The Distributive Property (Subtraction)
Spaceland
Grouping Symbols
Intrinsic View
20. If a = b then
Hamilton Cycle
Problem of the Points
Hypercube
a - c = b - c
21. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Hamilton Cycle
Non-Orientability
Commutative Property of Multiplication:
Tone
22. Means approximately equal.
A number is divisible by 10
Cardinality
˜
Permutation
23. 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.'
Hyperland
Multiplication by Zero
The Prime Number Theorem
Commensurability
24. A topological object that can be used to study the allowable states of a given system.
Modular Arithmetic
Configuration Space
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
The Additive Identity Property
25. The process of taking a complicated signal and breaking it into sine and cosine components.
Fourier Analysis
per line
Associative Property of Addition:
Amplitude
26. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.
General Relativity
Composite Numbers
Discrete
bar graph
27. If grouping symbols are nested
Multiplication
perimeter
The Riemann Hypothesis
evaluate the expression in the innermost pair of grouping symbols first.
28. Rules for Rounding - To round a number to a particular place - follow these steps:
The inverse of addition is subtraction
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
˜
Axiomatic Systems
29. The study of shape from an external perspective.
Extrinsic View
Hypersphere
Cardinality
4 + x = 12
30. 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.
A number is divisible by 3
Modular Arithmetic
Problem of the Points
1. The unit 2. Prime numbers 3. Composite numbers
31. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
set
Aleph-Null
Central Limit Theorem
a - c = b - c
32. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
Non-Euclidian Geometry
Figurate Numbers
In Euclidean four-space
Normal Distribution
33. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Genus
variable
Divisible
Markov Chains
34. 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
Non-Euclidian Geometry
Periodic Function
The inverse of multiplication is division
35. 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).
Geometry
Continuous
A number is divisible by 3
Stereographic Projection
36. If a represents any whole number - then a
Poincare Disk
perimeter
The Associative Property of Multiplication
Multiplication by Zero
37. You must always solve the equation set up in the previous step.
Solve the Equation
Products and Factors
Invarient
The inverse of subtraction is addition
38. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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39. Requirements for Word Problem Solutions.
left to right
Multiplicative Inverse:
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Set up a Variable Dictionary.
40. A + 0 = 0 + a = a
Additive Identity:
Least Common Multiple (LCM)
Multiplication
Axiomatic Systems
41. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
Expected Value
Spaceland
left to right
De Bruijn Sequence
42. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Periodic Function
The Set of Whole Numbers
Composite Numbers
inline
43. (a · b) · c = a · (b · c)
The Set of Whole Numbers
A number is divisible by 3
the set of natural numbers
Associative Property of Multiplication:
44. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
4 + x = 12
Spherical Geometry
Non-Euclidian Geometry
Associative Property of Addition:
45. If a = b then
Noether's Theorem
a + c = b + c
Figurate Numbers
Variable
46. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in
Countable
Answer the Question
The Same
Aleph-Null
47. Positive integers are
a · c = b · c for c does not equal 0
counting numbers
4 + x = 12
The Prime Number Theorem
48. 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).
Extrinsic View
Greatest Common Factor (GCF)
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
Prime Number
49. 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
Flat Land
Galton Board
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Factor Trees
50. 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.
inline
a
B - 125 = 1200
Spherical Geometry
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