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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. Determines the likelihood of events that are not independent of one another.
The inverse of multiplication is division
General Relativity
Symmetry
Conditional Probability
2. You must always solve the equation set up in the previous step.
Hypercube
Hyperbolic Geometry
Solve the Equation
Poincare Disk
3. 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.
Distributive Property:
Division is not Associative
Set up a Variable Dictionary.
Law of Large Numbers
4. A point in three-dimensional space requires three numbers to fix its location.
Least Common Multiple (LCM)
Spaceland
Discrete
Euler Characteristic
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.
Complete Graph
Bijection
Commutative Property of Addition:
Rarefactior
6. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Noether's Theorem
Multiplicative Identity:
A number is divisible by 9
Flat Land
7. Two equations if they have the same solution set.
Aleph-Null
Dividing both Sides of an Equation by the Same Quantity
Expected Value
Equivalent Equations
8. An important part of problem solving is identifying
variable
The Riemann Hypothesis
Factor Tree Alternate Approach
Poincare Disk
9. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
does not change the solution set.
Normal Distribution
Cardinality
Fourier Analysis and Synthesis
10. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Commutative Property of Multiplication:
Principal Curvatures
Tone
1. The unit 2. Prime numbers 3. Composite numbers
11. 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.
Commutative Property of Multiplication:
Exponents
The inverse of addition is subtraction
Euler Characteristic
12. 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.
Factor Trees
Continuous Symmetry
Normal Distribution
Equivalent Equations
13. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
The Additive Identity Property
Central Limit Theorem
4 + x = 12
Answer the Question
14. 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
Countable
perimeter
De Bruijn Sequence
15. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
Wave Equation
Modular Arithmetic
Comparison Property
Dimension
16. A topological object that can be used to study the allowable states of a given system.
Euclid's Postulates
Configuration Space
Properties of Equality
Public Key Encryption
17. A + (-a) = (-a) + a = 0
Irrational
Additive Inverse:
each whole number can be uniquely decomposed into products of primes.
Greatest Common Factor (GCF)
18. 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
Continuous Symmetry
Modular Arithmetic
Symmetry
Set up an Equation
19. The expression a/b means
a divided by b
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Torus
Associative Property of Addition:
20. 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
Pigeonhole Principle
The Riemann Hypothesis
Factor Tree Alternate Approach
Hamilton Cycle
21. The study of shape from an external perspective.
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
Extrinsic View
Poincare Disk
Sign Rules for Division
22. An algebraic 'sentence' containing an unknown quantity.
Galton Board
Polynomial
evaluate the expression in the innermost pair of grouping symbols first.
Irrational
23. (a
Tone
Division is not Associative
Hypersphere
Irrational
24. A way to measure how far away a given individual result is from the average result.
Standard Deviation
Prime Number
Transfinite
Amplitude
25. Solving Equations
Permutation
Configuration Space
Fourier Analysis
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
26. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
does not change the solution set.
Properties of Equality
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
Bijection
27. If a represents any whole number - then a
Normal Distribution
left to right
Multiplication by Zero
Geometry
28. Index p radicand
Frequency
does not change the solution set.
Prime Deserts
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
29. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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30. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
Multiplying both Sides of an Equation by the Same Quantity
Prime Number
repeated addition
set
31. Is a path that visits every node in a graph and ends where it began.
Division by Zero
Hamilton Cycle
Variable
Set up an Equation
32. 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
left to right
Comparison Property
Law of Large Numbers
33. The study of shape from the perspective of being on the surface of the shape.
Products and Factors
Intrinsic View
repeated addition
left to right
34. The state of appearing unchanged.
Law of Large Numbers
Invarient
Factor Tree Alternate Approach
Extrinsic View
35. A number is divisible by 2
Solution
The Kissing Circle
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
division
36. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Conditional Probability
Primes
Box Diagram
Rational
37. Originally known as analysis situs
Dimension
Problem of the Points
Topology
Comparison Property
38. Has no factors other than 1 and itself
A prime number
Additive Identity:
Equation
The inverse of subtraction is addition
39. If its final digit is a 0.
General Relativity
In Euclidean four-space
Answer the Question
A number is divisible by 10
40. Let a and b represent two whole numbers. Then - a + b = b + a.
The Commutative Property of Addition
Conditional Probability
evaluate the expression in the innermost pair of grouping symbols first.
Poincare Disk
41. The amount of displacement - as measured from the still surface line.
Amplitude
counting numbers
Hyperbolic Geometry
Factor Tree Alternate Approach
42. If grouping symbols are nested
Associate Property of Addition
evaluate the expression in the innermost pair of grouping symbols first.
Non-Euclidian Geometry
Denominator
43. Einstein's famous theory - relates gravity to the curvature of spacetime.
General Relativity
Composite Numbers
Hypersphere
Principal Curvatures
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
Composite Numbers
Additive Identity:
A number is divisible by 5
Multiplying both Sides of an Equation by the Same Quantity
45. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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46. 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
Cayley's Theorem
Look Back
repeated addition
Principal Curvatures
47. A
Division is not Commutative
The inverse of subtraction is addition
The Multiplicative Identity Property
inline
48. If a whole number is not a prime number - then it is called a...
Noether's Theorem
Composite Numbers
Solution
Multiplication
49. If a = b then
a - c = b - c
Divisible
Markov Chains
Solution
50. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator
Probability
Denominator
Pigeonhole Principle
Associative Property of Multiplication: