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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. 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.
1. The unit 2. Prime numbers 3. Composite numbers
perimeter
Public Key Encryption
Geometry
2. 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
Sign Rules for Division
Additive Inverse:
Fourier Analysis
3. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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4. 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.'
Grouping Symbols
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
Figurate Numbers
Divisible
5. Means approximately equal.
Grouping Symbols
Commutative Property of Addition:
The inverse of subtraction is addition
˜
6. Perform all additions and subtractions in the order presented
Division by Zero
left to right
Expected Value
Factor Tree Alternate Approach
7. Is a path that visits every node in a graph and ends where it began.
Hamilton Cycle
Configuration Space
Products and Factors
Multiplying both Sides of an Equation by the Same Quantity
8. The process of taking a complicated signal and breaking it into sine and cosine components.
The Commutative Property of Addition
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
prime factors
Fourier Analysis
9. The study of shape from the perspective of being on the surface of the shape.
Rational
counting numbers
Frequency
Intrinsic View
10. Negative
˜
Overtone
Sign Rules for Division
4 + x = 12
11. A + b = b + a
Commutative Property of Addition:
a
A number is divisible by 9
Hamilton Cycle
12. A · 1 = 1 · a = a
A number is divisible by 10
The BML Traffic Model
Multiplicative Identity:
Hypercube
13. If a = b then
Additive Identity:
The Distributive Property (Subtraction)
Euclid's Postulates
a · c = b · c for c does not equal 0
14. Requirements for Word Problem Solutions.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
General Relativity
Divisible
Permutation
15. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
The Riemann Hypothesis
Geometry
Rational
Overtone
16. Two equations if they have the same solution set.
repeated addition
Central Limit Theorem
Factor Trees
Equivalent Equations
17. A point in three-dimensional space requires three numbers to fix its location.
Composite Numbers
Spaceland
Topology
Problem of the Points
18. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Irrational
Cayley's Theorem
Box Diagram
Commutative Property of Multiplication:
19. 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
Associate Property of Addition
Hypercube
The Commutative Property of Addition
a - c = b - c
20. All integers are thus divided into three classes:
Distributive Property:
Multiplicative Inverse:
Commutative Property of Multiplication
1. The unit 2. Prime numbers 3. Composite numbers
21. Add and subtract
repeated addition
Discrete
inline
the set of natural numbers
22. 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.
B - 125 = 1200
Least Common Multiple (LCM)
Galton Board
Variable
23. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Periodic Function
Sign Rules for Division
Variable
Non-Euclidian Geometry
24. The expression a/b means
Equivalent Equations
Configuration Space
a divided by b
Spherical Geometry
25. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.
Equation
Additive Inverse:
Dividing both Sides of an Equation by the Same Quantity
Group
26. A number is divisible by 2
A prime number
Discrete
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Bijection
27. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
The Associative Property of Multiplication
Discrete
Fundamental Theorem of Arithmetic
Poincare Disk
28. Positive integers are
counting numbers
4 + x = 12
Division by Zero
Products and Factors
29. 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.'
The Multiplicative Identity Property
a - c = b - c
The Prime Number Theorem
Galton Board
30. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
Fourier Analysis and Synthesis
Solution
Markov Chains
Prime Number
31. Is a symbol (usually a letter) that stands for a value that may vary.
Variable
4 + x = 12
Non-Euclidian Geometry
Primes
32. To describe and extend a numerical pattern
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.
a · c = b · c for c does not equal 0
Denominator
4 + x = 12
33. If a = b then
Intrinsic View
Multiplicative Inverse:
a - c = b - c
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
34. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of
repeated addition
Exponents
Hypersphere
Genus
35. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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36. The state of appearing unchanged.
Invarient
Division by Zero
a · c = b · c for c does not equal 0
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.
37. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
The Additive Identity Property
Principal Curvatures
Comparison Property
Multiplying both Sides of an Equation by the Same Quantity
38. Let a and b represent two whole numbers. Then - a + b = b + a.
The Commutative Property of Addition
Multiplicative Inverse:
Flat Land
Dividing both Sides of an Equation by the Same Quantity
39. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Additive Identity:
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.
Genus
A number is divisible by 5
40. 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)
Commensurability
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Figurate Numbers
Ramsey Theory
41. Determines the likelihood of events that are not independent of one another.
Wave Equation
Conditional Probability
Set up a Variable Dictionary.
Multiplicative Inverse:
42. Division by zero is undefined. Each of the expressions 6
per line
Hypercube
In Euclidean four-space
Division by Zero
43. 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.
Exponents
Symmetry
Poincare Disk
A number is divisible by 5
44. The surface of a standard 'donut shape'.
Torus
Overtone
Additive Inverse:
Irrational
45. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
The Set of Whole Numbers
Central Limit Theorem
Permutation
General Relativity
46. Arise from the attempt to measure all quantities with a common unit of measure.
Rational
Bijection
Divisible
Solve the Equation
47. 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).
Probability
The Commutative Property of Addition
A number is divisible by 3
Continuous
48. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -
The inverse of addition is subtraction
Polynomial
the set of natural numbers
left to right
49. 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.
Fourier Analysis
bar graph
Continuous Symmetry
A number is divisible by 9
50. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Galois Theory
Box Diagram
Markov Chains
Set up a Variable Dictionary.