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Test your basic knowledge |
CLEP General Math: Number Sense - Patterns - Algebraic Thinking
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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 ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.
Flat Land
Symmetry
division
Normal Distribution
2. If its final digit is a 0 or 5.
Group
A number is divisible by 5
Invarient
Hyperbolic Geometry
3. (a
Division is not Associative
Unique Factorization Theorem
Law of Large Numbers
B - 125 = 1200
4. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator
Axiomatic Systems
Commutative Property of Addition:
Denominator
Prime Number
5. Division by zero is undefined. Each of the expressions 6
Equation
Probability
Division by Zero
Unique Factorization Theorem
6. A · 1/a = 1/a · a = 1
Multiplicative Inverse:
Factor Tree Alternate Approach
each whole number can be uniquely decomposed into products of primes.
bar graph
7. 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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8. If a is any whole number - then a
Associate Property of Addition
Galois Theory
The Multiplicative Identity Property
Division is not Associative
9. A flat map of hyperbolic space.
Set up an Equation
the set of natural numbers
Poincare Disk
Extrinsic View
10. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
Non-Orientability
In Euclidean four-space
Frequency
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
11. Means approximately equal.
Axiomatic Systems
repeated addition
Euler Characteristic
˜
12. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab
Set up a Variable Dictionary.
Conditional Probability
Group
division
13. In the expression 3
Symmetry
Products and Factors
Transfinite
left to right
14. When writing mathematical statements - follow the mantra:
Amplitude
Continuous
One equal sign per line
˜
15. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'
Stereographic Projection
The Prime Number Theorem
Equivalent Equations
Intrinsic View
16. Two equations if they have the same solution set.
Rational
Factor Tree Alternate Approach
Equivalent Equations
The Additive Identity Property
17. 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 number is divisible by 9
˜
Public Key Encryption
Divisible
18. Mathematical statement that equates two mathematical expressions.
Group
Euclid's Postulates
In Euclidean four-space
Equation
19. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
Principal Curvatures
Transfinite
Division is not Commutative
Comparison Property
20. Requirements for Word Problem Solutions.
Topology
set
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Fundamental Theorem of Arithmetic
21. Arise from the attempt to measure all quantities with a common unit of measure.
Rational
Greatest Common Factor (GCF)
Set up an Equation
Amplitude
22. If a = b then
Geometry
Products and Factors
a
One equal sign per line
23. (a + b) + c = a + (b + c)
Associative Property of Addition:
Figurate Numbers
repeated addition
Probability
24. The inverse of multiplication
division
Geometry
The Riemann Hypothesis
Multiplying both Sides of an Equation by the Same Quantity
25. Positive integers are
Irrational
counting numbers
Cayley's Theorem
Distributive Property:
26. 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
Frequency
Box Diagram
Multiplication by Zero
Factor Trees
27. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t
Euclid's Postulates
Line Land
Central Limit Theorem
perimeter
28. 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
Factor Trees
Galois Theory
Comparison Property
The Same
29. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar
Invarient
A number is divisible by 9
Permutation
Least Common Multiple (LCM)
30. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Irrational
Composite Numbers
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
Flat Land
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.
Markov Chains
Genus
Solve the Equation
Ramsey Theory
32. The expression a/b means
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
a divided by b
a
The Kissing Circle
33. Uses second derivatives to relate acceleration in space to acceleration in time.
Group
Conditional Probability
Wave Equation
Frequency
34. Is a symbol (usually a letter) that stands for a value that may vary.
a - c = b - c
Variable
Associative Property of Addition:
Extrinsic View
35. N = {1 - 2 - 3 - 4 - 5 - . . .}.
prime factors
Complete Graph
the set of natural numbers
The Set of Whole Numbers
36. Is the shortest string that contains all possible permutations of a particular length from a given set.
Probability
set
De Bruijn Sequence
Division is not Associative
37. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.
The Commutative Property of Addition
B - 125 = 1200
Galton Board
Extrinsic View
38. 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.
Associative Property of Addition:
Modular Arithmetic
prime factors
Expected Value
39. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a
Spherical Geometry
The inverse of multiplication is division
Problem of the Points
Tone
40. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Multiplicative Identity:
Periodic Function
Irrational
Factor Trees
41. The system that Euclid used in The Elements
inline
Solution
Pigeonhole Principle
Axiomatic Systems
42. Has no factors other than 1 and itself
In Euclidean four-space
A number is divisible by 9
Normal Distribution
A prime number
43. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
Spherical Geometry
Prime Deserts
counting numbers
Hyperbolic Geometry
44. 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
Dividing both Sides of an Equation by the Same Quantity
The inverse of addition is subtraction
variable
45. Let a and b represent two whole numbers. Then - a + b = b + a.
De Bruijn Sequence
Topology
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 Commutative Property of Addition
46. Originally known as analysis situs
Permutation
Topology
In Euclidean four-space
The Riemann Hypothesis
47. A + b = b + a
The Prime Number Theorem
Equivalent Equations
Commutative Property of Addition:
Division is not Commutative
48. 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.
Non-Orientability
Normal Distribution
Periodic Function
Non-Euclidian Geometry
49. 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
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Commutative Property of Multiplication:
Factor Trees
Modular Arithmetic
50. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
Fundamental Theorem of Arithmetic
B - 125 = 1200
The Additive Identity Property
Invarient