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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.
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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 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.
Group
set
prime factors
Principal Curvatures
2. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator
Hyperland
counting numbers
Denominator
set
3. If a = b then
a - c = b - c
Hyperland
Composite Numbers
Discrete
4. 4 more than a certain number is 12
a
Factor Tree Alternate Approach
Distributive Property:
4 + x = 12
5. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t
The inverse of addition is subtraction
Sign Rules for Division
Answer the Question
Factor Tree Alternate Approach
6. 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 -
division
The inverse of addition is subtraction
The Commutative Property of Addition
1. The unit 2. Prime numbers 3. Composite numbers
7. If a = b then
Composite Numbers
Hypersphere
a + c = b + c
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
8. 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.
evaluate the expression in the innermost pair of grouping symbols first.
Additive Inverse:
Hamilton Cycle
Exponents
9. 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).
Sign Rules for Division
Axiomatic Systems
A number is divisible by 9
1. The unit 2. Prime numbers 3. Composite numbers
10. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Rational
De Bruijn Sequence
Associate Property of Addition
Transfinite
11. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Problem of the Points
A number is divisible by 5
Denominator
Genus
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
Multiplicative Identity:
Geometry
Noether's Theorem
Probability
13. Two equations if they have the same solution set.
The Set of Whole Numbers
Associate Property of Addition
The BML Traffic Model
Equivalent Equations
14. 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.
The Associative Property of Multiplication
Modular Arithmetic
Non-Orientability
Spherical Geometry
15. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
Euclid's Postulates
Comparison Property
Cayley's Theorem
Fourier Analysis and Synthesis
16. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Fundamental Theorem of Arithmetic
Overtone
Intrinsic View
does not change the solution set.
17. An important part of problem solving is identifying
variable
Divisible
Bijection
Law of Large Numbers
18. A way to measure how far away a given individual result is from the average result.
Frequency
Multiplicative Inverse:
a - c = b - c
Standard Deviation
19. Originally known as analysis situs
Topology
Non-Orientability
˜
Prime Number
20. 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
Normal Distribution
Fundamental Theorem of Arithmetic
Polynomial
Rarefactior
21. To describe and extend a numerical pattern
Symmetry
Principal Curvatures
A number is divisible by 5
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.
22. Perform all additions and subtractions in the order presented
left to right
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
De Bruijn Sequence
The Multiplicative Identity Property
23. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
Non-Orientability
Irrational
Solution
set
24. 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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25. An algebraic 'sentence' containing an unknown quantity.
A number is divisible by 5
variable
Multiplicative Inverse:
Polynomial
26. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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27. 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.
Products and Factors
Central Limit Theorem
division
Bijection
28. Arise from the attempt to measure all quantities with a common unit of measure.
Associative Property of Multiplication:
Tone
A number is divisible by 3
Rational
29. The study of shape from an external perspective.
Extrinsic View
Line Land
a
Pigeonhole Principle
30. 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.
Extrinsic View
Public Key Encryption
a
perimeter
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.
A prime number
Markov Chains
Modular Arithmetic
Properties of Equality
32. 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.'
Pigeonhole Principle
Divisible
Factor Trees
Hypersphere
33. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
Expected Value
Axiomatic Systems
Irrational
Distributive Property:
34. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
Countable
Hyperbolic Geometry
Solve the Equation
Non-Euclidian Geometry
35. If its final digit is a 0 or 5.
Multiplicative Inverse:
A number is divisible by 5
Sign Rules for Division
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.
36. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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37. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Fundamental Theorem of Arithmetic
Hamilton Cycle
Continuous
inline
38. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Box Diagram
Irrational
Hyperland
Wave Equation
39. Means approximately equal.
Solve the Equation
Fundamental Theorem of Arithmetic
Line Land
˜
40. 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
Line Land
Factor Trees
variable
set
41. 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
Factor Trees
Multiplying both Sides of an Equation by the Same Quantity
The Kissing Circle
Extrinsic View
42. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
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43. 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
set
inline
Euclid's Postulates
44. Dimension is how mathematicians express the idea of degrees of freedom
Associate Property of Addition
Dimension
Unique Factorization Theorem
repeated addition
45. A topological invariant that relates a surface's vertices - edges - and faces.
Multiplicative Identity:
Noether's Theorem
Solve the Equation
Euler Characteristic
46. If grouping symbols are nested
evaluate the expression in the innermost pair of grouping symbols first.
a · c = b · c for c does not equal 0
Dimension
Multiplicative Identity:
47. (a
Cardinality
Division is not Associative
Amplitude
Factor Trees
48. Rules for Rounding - To round a number to a particular place - follow these steps:
Frequency
Spherical Geometry
Amplitude
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
49. 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.
The inverse of multiplication is division
Overtone
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
bar graph
50. 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.
Division by Zero
Continuous Symmetry
variable
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