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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. This method can create a flat map from a curved surface while preserving all angles in any features present.
left to right
Probability
Stereographic Projection
does not change the solution set.
2. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
Euclid's Postulates
Grouping Symbols
Flat Land
Factor Trees
3. The inverse of multiplication
division
Commutative Property of Addition:
Polynomial
Cardinality
4. 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
Poincare Disk
Tone
Symmetry
Look Back
5. Add and subtract
a divided by b
inline
Cayley's Theorem
4 + x = 12
6. 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
Multiplying both Sides of an Equation by the Same Quantity
a + c = b + c
Amplitude
B - 125 = 1200
7. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Hyperbolic Geometry
Tone
Spherical Geometry
Continuous
8. Mathematical statement that equates two mathematical expressions.
Geometry
Group
repeated addition
Equation
9. Arise from the attempt to measure all quantities with a common unit of measure.
The Commutative Property of Addition
Exponents
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Rational
10. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Multiplying both Sides of an Equation by the Same Quantity
Aleph-Null
A number is divisible by 5
11. 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
Dimension
division
The Same
12. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com
Ramsey Theory
Frequency
Conditional Probability
The inverse of multiplication is division
13. 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.
Irrational
Law of Large Numbers
Tone
Amplitude
14. When writing mathematical statements - follow the mantra:
One equal sign per line
General Relativity
Line Land
Spaceland
15. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.
the set of natural numbers
Greatest Common Factor (GCF)
Tone
Solution
16. 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.
Answer the Question
Products and Factors
Configuration Space
Principal Curvatures
17. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
Countable
Equation
Hyperland
Factor Tree Alternate Approach
18. N = {1 - 2 - 3 - 4 - 5 - . . .}.
Factor Trees
the set of natural numbers
does not change the solution set.
Primes
19. You must always solve the equation set up in the previous step.
Flat Land
Solve the Equation
Associate Property of Addition
Axiomatic Systems
20. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
Aleph-Null
Comparison Property
A number is divisible by 9
General Relativity
21. If a = b then
a + c = b + c
Problem of the Points
Modular Arithmetic
Periodic Function
22. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
Equation
Euler Characteristic
In Euclidean four-space
Amplitude
23. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
Expected Value
A number is divisible by 5
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
Multiplication
24. Are the fundamental building blocks of arithmetic.
Primes
Unique Factorization Theorem
Spaceland
Figurate Numbers
25. A(b + c) = a · b + a · c a(b - c) = a · b - a · c
a + c = b + c
The Set of Whole Numbers
Distributive Property:
Factor Trees
26. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is
a - c = b - c
Conditional Probability
The Same
Fundamental Theorem of Arithmetic
27. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
Frequency
Galois Theory
The Riemann Hypothesis
set
28. Let a and b represent two whole numbers. Then - a + b = b + a.
Factor Tree Alternate Approach
˜
The Commutative Property of Addition
Extrinsic View
29. 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.
the set of natural numbers
A number is divisible by 9
Unique Factorization Theorem
Symmetry
30. A + 0 = 0 + a = a
Additive Identity:
Hypersphere
bar graph
Associative Property of Multiplication:
31. 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.
Cayley's Theorem
Transfinite
Ramsey Theory
Division is not Associative
32. An important part of problem solving is identifying
variable
Additive Identity:
Polynomial
The inverse of subtraction is addition
33. Multiplication is equivalent to
repeated addition
Look Back
Irrational
Extrinsic View
34. The amount of displacement - as measured from the still surface line.
Amplitude
Cayley's Theorem
Sign Rules for Division
The Associative Property of Multiplication
35. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
Hypercube
The Set of Whole Numbers
prime factors
General Relativity
36. 1. Find the prime factorizations of each number.
Irrational
Euclid's Postulates
Greatest Common Factor (GCF)
Comparison Property
37. 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).
Irrational
Multiplicative Identity:
Divisible
A number is divisible by 9
38. 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
left to right
Configuration Space
Symmetry
The BML Traffic Model
39. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
Spherical Geometry
Galois Theory
Answer the Question
the set of natural numbers
40. (a
Variable
Division is not Associative
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Permutation
41. 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.
Properties of Equality
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Exponents
Standard Deviation
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
set
Equivalent Equations
Principal Curvatures
Hypercube
43. Rules for Rounding - To round a number to a particular place - follow these steps:
Figurate Numbers
The Riemann Hypothesis
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
Overtone
44. If a = b then
the set of natural numbers
a · c = b · c for c does not equal 0
Frequency
Greatest Common Factor (GCF)
45. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
A number is divisible by 5
Central Limit Theorem
Torus
a divided by b
46. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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47. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Periodic Function
Rarefactior
Dividing both Sides of an Equation by the Same Quantity
Spherical Geometry
48. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
The Riemann Hypothesis
The Kissing Circle
Periodic Function
Pigeonhole Principle
49. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
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50. The study of shape from the perspective of being on the surface of the shape.
Intrinsic View
repeated addition
The Same
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'