SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
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. 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.
Markov Chains
Non-Orientability
set
a - c = b - c
2. The state of appearing unchanged.
Invarient
Aleph-Null
De Bruijn Sequence
Torus
3. N = {1 - 2 - 3 - 4 - 5 - . . .}.
perimeter
Prime Number
Division by Zero
the set of natural numbers
4. If a represents any whole number - then a
Multiplication by Zero
Complete Graph
Fundamental Theorem of Arithmetic
does not change the solution set.
5. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
Spaceland
The Associative Property of Multiplication
Set up a Variable Dictionary.
Fourier Analysis and Synthesis
6. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
7. A · b = b · a
The inverse of subtraction is addition
Commutative Property of Multiplication:
Rational
Fundamental Theorem of Arithmetic
8. 1. Find the prime factorizations of each number.
Commutative Property of Multiplication:
Expected Value
Greatest Common Factor (GCF)
The Same
9. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)
Variable
Commensurability
Frequency
Equivalent Equations
10. Is a path that visits every node in a graph and ends where it began.
Hamilton Cycle
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Non-Orientability
Tone
11. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
a · c = b · c for c does not equal 0
Conditional Probability
Noether's Theorem
Associate Property of Addition
12. 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.'
a divided by b
Set up an Equation
per line
Divisible
13. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu
Answer the Question
Genus
Continuous
Group
14. Uses second derivatives to relate acceleration in space to acceleration in time.
Periodic Function
Multiplication
Wave Equation
Problem of the Points
15. 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).
Cardinality
The Riemann Hypothesis
General Relativity
Prime Number
16. If a - b - and c are any whole numbers - then a
Greatest Common Factor (GCF)
Polynomial
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
The Associative Property of Multiplication
17. If a and b are any whole numbers - then a
left to right
The Kissing Circle
Commutative Property of Multiplication
Frequency
18. The study of shape from the perspective of being on the surface of the shape.
Intrinsic View
De Bruijn Sequence
Hamilton Cycle
Galois Theory
19. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
Line Land
Wave Equation
Genus
Geometry
20. Means approximately equal.
Multiplication
˜
Grouping Symbols
A number is divisible by 3
21. Negative
a + c = b + c
Solve the Equation
Central Limit Theorem
Sign Rules for Division
22. The process of taking a complicated signal and breaking it into sine and cosine components.
Divisible
The Same
Periodic Function
Fourier Analysis
23. Is the shortest string that contains all possible permutations of a particular length from a given set.
Factor Trees
De Bruijn Sequence
Greatest Common Factor (GCF)
The Riemann Hypothesis
24. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Discrete
division
Hyperbolic Geometry
Problem of the Points
25. If a = b then
Fourier Analysis
a + c = b + c
per line
Non-Euclidian Geometry
26. 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
The Commutative Property of Addition
Factor Trees
Cardinality
a · c = b · c for c does not equal 0
27. Requirements for Word Problem Solutions.
Rarefactior
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
a + c = b + c
the set of natural numbers
28. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Additive Inverse:
Figurate Numbers
1. The unit 2. Prime numbers 3. Composite numbers
Irrational
29. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
Noether's Theorem
Grouping Symbols
a
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
30. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
Expected Value
Multiplying both Sides of an Equation by the Same Quantity
Frequency
Non-Euclidian Geometry
31. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
32. (a · b) · c = a · (b · c)
Bijection
Solution
Associative Property of Multiplication:
Permutation
33. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
each whole number can be uniquely decomposed into products of primes.
Periodic Function
Euler Characteristic
counting numbers
34. 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.
Prime Number
The inverse of addition is subtraction
Noether's Theorem
Hyperbolic Geometry
35. In the expression 3
Products and Factors
a + c = b + c
Wave Equation
Hypersphere
36. An algebraic 'sentence' containing an unknown quantity.
bar graph
Polynomial
The Same
Properties of Equality
37. A topological invariant that relates a surface's vertices - edges - and faces.
a divided by b
Euler Characteristic
Solve the Equation
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
38. Solving Equations
Multiplication
Principal Curvatures
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
Group
39. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Flat Land
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Overtone
bar graph
40. 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.
Answer the Question
Law of Large Numbers
set
Multiplying both Sides of an Equation by the Same Quantity
41. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
Probability
B - 125 = 1200
Extrinsic View
Central Limit Theorem
42. If a whole number is not a prime number - then it is called a...
Commutative Property of Addition:
Composite Numbers
set
Prime Number
43. Two equations if they have the same solution set.
Associate Property of Addition
does not change the solution set.
division
Equivalent Equations
44. A flat map of hyperbolic space.
Invarient
Poincare Disk
Continuous
De Bruijn Sequence
45. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.
Stereographic Projection
Transfinite
bar graph
Euler Characteristic
46. × - ( )( ) - · - 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
Multiplication
a + c = b + c
Dividing both Sides of an Equation by the Same Quantity
De Bruijn Sequence
47. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that
Hypercube
Noether's Theorem
Continuous
The Commutative Property of Addition
48. 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 -
Variable
Factor Trees
A number is divisible by 3
The inverse of subtraction is addition
49. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.
Hyperland
Unique Factorization Theorem
Irrational
each whole number can be uniquely decomposed into products of primes.
50. Has no factors other than 1 and itself
each whole number can be uniquely decomposed into products of primes.
Transfinite
Stereographic Projection
A prime number