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. A way to measure how far away a given individual result is from the average result.
Standard Deviation
The Associative Property of Multiplication
Equivalent Equations
Additive Inverse:
2. The process of taking a complicated signal and breaking it into sine and cosine components.
Irrational
Multiplicative Inverse:
Stereographic Projection
Fourier Analysis
3. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
Figurate Numbers
The Prime Number Theorem
Prime Deserts
per line
4. Uses second derivatives to relate acceleration in space to acceleration in time.
Wave Equation
Multiplying both Sides of an Equation by the Same Quantity
Central Limit Theorem
Hyperbolic Geometry
5. A · 1 = 1 · a = a
Multiplicative Identity:
Intrinsic View
Least Common Multiple (LCM)
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.
6. Is a symbol (usually a letter) that stands for a value that may vary.
Greatest Common Factor (GCF)
Discrete
Associative Property of Addition:
Variable
7. Has no factors other than 1 and itself
Irrational
A prime number
Figurate Numbers
Hypercube
8. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator
a + c = b + c
The Distributive Property (Subtraction)
Denominator
Multiplying both Sides of an Equation by the Same Quantity
9. 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.
Irrational
bar graph
The Multiplicative Identity Property
Unique Factorization Theorem
10. If grouping symbols are nested
Euler Characteristic
Symmetry
1. The unit 2. Prime numbers 3. Composite numbers
evaluate the expression in the innermost pair of grouping symbols first.
11. 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.'
Hamilton Cycle
Divisible
Non-Euclidian Geometry
Box Diagram
12. Arise from the attempt to measure all quantities with a common unit of measure.
Rational
prime factors
Exponents
A prime number
13. Perform all additions and subtractions in the order presented
Modular Arithmetic
Composite Numbers
left to right
Commensurability
14. 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
Factor Tree Alternate Approach
Hamilton Cycle
Discrete
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.
15. 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 -
Factor Trees
Hypersphere
repeated addition
The inverse of subtraction is addition
16. 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).
Ramsey Theory
Line Land
Periodic Function
A number is divisible by 9
17. Is a path that visits every node in a graph and ends where it began.
Permutation
Central Limit Theorem
Hamilton Cycle
Galois Theory
18. The state of appearing unchanged.
Rational
Set up a Variable Dictionary.
Invarient
The Riemann Hypothesis
19. Are the fundamental building blocks of arithmetic.
Hyperbolic Geometry
Primes
The Riemann Hypothesis
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
20. 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).
Commutative Property of Multiplication
Pigeonhole Principle
Line Land
A number is divisible by 3
21. 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
Torus
The Commutative Property of Addition
Set up a Variable Dictionary.
Rarefactior
22. This method can create a flat map from a curved surface while preserving all angles in any features present.
4 + x = 12
Stereographic Projection
The Commutative Property of Addition
Commutative Property of Addition:
23. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
A number is divisible by 9
Irrational
Grouping Symbols
Probability
24. 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
Factor Trees
General Relativity
a + c = b + c
Public Key Encryption
25. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
A number is divisible by 3
variable
Grouping Symbols
The Set of Whole Numbers
26. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
Geometry
Fundamental Theorem of Arithmetic
bar graph
inline
27. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
The Kissing Circle
4 + x = 12
The Additive Identity Property
Dimension
28. A + b = b + a
Public Key Encryption
Wave Equation
In Euclidean four-space
Commutative Property of Addition:
29. If a - b - and c are any whole numbers - then a
The Associative Property of Multiplication
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
left to right
Hypersphere
30. The study of shape from an external perspective.
Continuous Symmetry
Extrinsic View
Poincare Disk
Wave Equation
31. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.
does not change the solution set.
Solve the Equation
4 + x = 12
Solution
32. A factor tree is a way to visualize a number's
The Distributive Property (Subtraction)
Non-Orientability
prime factors
One equal sign per line
33. 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
per line
Frequency
Multiplying both Sides of an Equation by the Same Quantity
Bijection
34. The study of shape from the perspective of being on the surface of the shape.
4 + x = 12
Intrinsic View
inline
The inverse of multiplication is division
35. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Commutative Property of Multiplication:
evaluate the expression in the innermost pair of grouping symbols first.
Overtone
Sign Rules for Division
36. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
The Associative Property of Multiplication
Line Land
Normal Distribution
inline
37. If its final digit is a 0 or 5.
The inverse of subtraction is addition
A number is divisible by 5
In Euclidean four-space
Invarient
38. 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
Extrinsic View
Division is not Associative
Group
perimeter
39. Is the shortest string that contains all possible permutations of a particular length from a given set.
Multiplying both Sides of an Equation by the Same Quantity
De Bruijn Sequence
The Same
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.
40. Einstein's famous theory - relates gravity to the curvature of spacetime.
General Relativity
Hypersphere
Tone
Genus
41. The inverse of multiplication
The Associative Property of Multiplication
division
Spaceland
Spherical Geometry
42. 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
1. The unit 2. Prime numbers 3. Composite numbers
The Distributive Property (Subtraction)
Principal Curvatures
43. Negative
Divisible
Sign Rules for Division
The Same
perimeter
44. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Countable
Discrete
Multiplying both Sides of an Equation by the Same Quantity
Permutation
45. A + 0 = 0 + a = a
Additive Identity:
The Multiplicative Identity Property
Markov Chains
Central Limit Theorem
46. 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.
Continuous Symmetry
Non-Euclidian Geometry
evaluate the expression in the innermost pair of grouping symbols first.
Hypercube
47. The amount of displacement - as measured from the still surface line.
Amplitude
The Kissing Circle
Markov Chains
De Bruijn Sequence
48. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
A prime number
Ramsey Theory
Hamilton Cycle
Continuous
49. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Figurate Numbers
Intrinsic View
Variable
Hyperbolic Geometry
50. If a represents any whole number - then a
Multiplication by Zero
Denominator
Poincare Disk
the set of natural numbers