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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. 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
Dimension
The BML Traffic Model
Look Back
Rational
2. Has no factors other than 1 and itself
Amplitude
A prime number
Prime Number
Solve the Equation
3. The amount of displacement - as measured from the still surface line.
Poincare Disk
Amplitude
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
Ramsey Theory
4. If a = b then
Group
Intrinsic View
a + c = b + c
In Euclidean four-space
5. 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
Symmetry
Poincare Disk
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Bijection
6. If a represents any whole number - then a
counting numbers
Periodic Function
Multiplication by Zero
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
7. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.
Complete Graph
Amplitude
bar graph
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.
8. 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 -
Group
Symmetry
The inverse of subtraction is addition
Euclid's Postulates
9. The state of appearing unchanged.
Invarient
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.
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
a
10. Aka The Osculating Circle - a way to measure the curvature of a line.
Properties of Equality
The Kissing Circle
Pigeonhole Principle
Ramsey Theory
11. 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.
a divided by b
Non-Orientability
Frequency
Comparison Property
12. An arrangement where order matters.
Permutation
Tone
Solution
Probability
13. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Modular Arithmetic
Irrational
Configuration Space
a · c = b · c for c does not equal 0
14. Determines the likelihood of events that are not independent of one another.
Pigeonhole Principle
Transfinite
The BML Traffic Model
Conditional Probability
15. Solving Equations
Law of Large Numbers
evaluate the expression in the innermost pair of grouping symbols first.
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
De Bruijn Sequence
16. 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.
Modular Arithmetic
The Set of Whole Numbers
bar graph
Discrete
17. 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.'
1. The unit 2. Prime numbers 3. Composite numbers
The Commutative Property of Addition
The Prime Number Theorem
Solution
18. All integers are thus divided into three classes:
The Associative Property of Multiplication
Non-Orientability
1. The unit 2. Prime numbers 3. Composite numbers
Commutative Property of Addition:
19. 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
a divided by b
Division is not Commutative
perimeter
prime factors
20. Requirements for Word Problem Solutions.
The Distributive Property (Subtraction)
Standard Deviation
Irrational
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
21. Negative
Factor Tree Alternate Approach
The Prime Number Theorem
Sign Rules for Division
The inverse of addition is subtraction
22. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Group
counting numbers
Discrete
23. 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.
Distributive Property:
Problem of the Points
Principal Curvatures
Periodic Function
24. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Primes
A number is divisible by 10
Properties of Equality
Products and Factors
25. Let a - b - and c be any whole numbers. Then - a
The inverse of addition is subtraction
The Distributive Property (Subtraction)
Multiplication by Zero
Intrinsic View
26. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
De Bruijn Sequence
Fundamental Theorem of Arithmetic
Non-Orientability
the set of natural numbers
27. Original Balance minus River Tam's Withdrawal is Current Balance
the set of natural numbers
Factor Trees
B - 125 = 1200
Products and Factors
28. 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.
Expected Value
Division by Zero
Poincare Disk
29. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Tone
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
prime factors
Exponents
30. A factor tree is a way to visualize a number's
Frequency
A number is divisible by 3
prime factors
Greatest Common Factor (GCF)
31. 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.
Complete Graph
Additive Identity:
Transfinite
Greatest Common Factor (GCF)
32. If a - b - and c are any whole numbers - then a
The Riemann Hypothesis
The Associative Property of Multiplication
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Pigeonhole Principle
33. 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.
Unique Factorization Theorem
Aleph-Null
Spaceland
Invarient
34. A · 1/a = 1/a · a = 1
A number is divisible by 9
Multiplicative Inverse:
Euler Characteristic
Normal Distribution
35. The inverse of multiplication
Equivalent Equations
division
a + c = b + c
Rational
36. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.
Geometry
Non-Euclidian Geometry
Spherical Geometry
Galois Theory
37. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
Comparison Property
Distributive Property:
Invarient
Dividing both Sides of an Equation by the Same Quantity
38. Originally known as analysis situs
Countable
Configuration Space
Topology
The Commutative Property of Addition
39. 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
Variable
Unique Factorization Theorem
Division is not Associative
Multiplying both Sides of an Equation by the Same Quantity
40. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Continuous Symmetry
Periodic Function
Commensurability
Solution
41. If a whole number is not a prime number - then it is called a...
Distributive Property:
Poincare Disk
Ramsey Theory
Composite Numbers
42. 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).
Cayley's Theorem
Aleph-Null
The Associative Property of Multiplication
A number is divisible by 3
43. 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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44. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
Multiplication by Zero
Euclid's Postulates
A prime number
set
45. Cannot be written as a ratio of natural numbers.
Solution
Transfinite
Normal Distribution
Irrational
46. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to
Aleph-Null
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Probability
B - 125 = 1200
47. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.
Properties of Equality
division
The BML Traffic Model
Pigeonhole Principle
48. To describe and extend a numerical pattern
Divisible
Hyperbolic Geometry
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.
Unique Factorization Theorem
49. If a = b then
Polynomial
a
Answer the Question
Prime Number
50. 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.
Transfinite
Overtone
Solution
B - 125 = 1200
Sorry!:) No result found.
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