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Test your basic knowledge |
CLEP General Math: Number Sense - Patterns - Algebraic Thinking
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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. 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
Hyperland
Associative Property of Addition:
perimeter
Flat Land
2. Let a - b - and c be any whole numbers. Then - a
Commensurability
˜
The Distributive Property (Subtraction)
Central Limit Theorem
3. 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).
Genus
Unique Factorization Theorem
Transfinite
A number is divisible by 3
4. Determines the likelihood of events that are not independent of one another.
Conditional Probability
Fourier Analysis
Commutative 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
5. If a whole number is not a prime number - then it is called a...
Hypersphere
Division is not Commutative
a · c = b · c for c does not equal 0
Composite Numbers
6. A · 1/a = 1/a · a = 1
Periodic Function
Prime Number
Hypersphere
Multiplicative Inverse:
7. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Division is not Associative
Figurate Numbers
Central Limit Theorem
Aleph-Null
8. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Flat Land
The Riemann Hypothesis
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Galois Theory
9. (a · b) · c = a · (b · c)
Axiomatic Systems
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Solution
Associative Property of Multiplication:
10. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.
Equivalent Equations
repeated addition
Bijection
Sign Rules for Division
11. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
The Additive Identity Property
counting numbers
Solve the Equation
The inverse of subtraction is addition
12. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Division is not Commutative
Rarefactior
left to right
Irrational
13. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
the set of natural numbers
Prime Deserts
Prime Number
a divided by b
14. A(b + c) = a · b + a · c a(b - c) = a · b - a · c
Solve the Equation
The Multiplicative Identity Property
Distributive Property:
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
15. 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 Distributive Property (Subtraction)
Galton Board
Standard Deviation
A number is divisible by 10
16. 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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17. If its final digit is a 0 or 5.
Box Diagram
A number is divisible by 5
Equivalent Equations
Standard Deviation
18. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
Aleph-Null
Flat Land
The inverse of addition is subtraction
repeated addition
19. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
set
Cardinality
Bijection
20. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).
Prime Number
The Prime Number Theorem
The inverse of multiplication is division
Line Land
21. A
4 + x = 12
Factor Trees
Cayley's Theorem
Division is not Commutative
22. Means approximately equal.
˜
Expected Value
Divisible
Stereographic Projection
23. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
Division by Zero
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Grouping Symbols
The Set of Whole Numbers
24. 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.
Expected Value
General Relativity
Solve the Equation
Solution
25. Aka The Osculating Circle - a way to measure the curvature of a line.
Non-Orientability
Principal Curvatures
The Kissing Circle
Central Limit Theorem
26. 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
division
Look Back
Additive Inverse:
Set up a Variable Dictionary.
27. All integers are thus divided into three classes:
Probability
Sign Rules for Division
1. The unit 2. Prime numbers 3. Composite numbers
Galois Theory
28. An arrangement where order matters.
Symmetry
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
Set up an Equation
Permutation
29. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.
Greatest Common Factor (GCF)
Central Limit Theorem
Hyperbolic Geometry
Division by Zero
30. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
Euler Characteristic
Bijection
Normal Distribution
The Riemann Hypothesis
31. 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.
Galton Board
repeated addition
Prime Deserts
Continuous Symmetry
32. If a represents any whole number - then a
Line Land
left to right
Multiplication by Zero
a divided by b
33. 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.
Unique Factorization Theorem
a - c = b - c
Exponents
Intrinsic View
34. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.
A number is divisible by 10
Factor Tree Alternate Approach
Spherical Geometry
Hyperbolic Geometry
35. 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.
Countable
Transfinite
Continuous Symmetry
Associate Property of Addition
36. A + 0 = 0 + a = a
Probability
Dividing both Sides of an Equation by the Same Quantity
Additive Identity:
One equal sign per line
37. The study of shape from the perspective of being on the surface of the shape.
does not change the solution set.
Invarient
Hypersphere
Intrinsic View
38. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Commutative Property of Addition:
Flat Land
Unique Factorization Theorem
Continuous
39. 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
Line Land
Frequency
Galton Board
Division by Zero
40. Is a path that visits every node in a graph and ends where it began.
Expected Value
Hamilton Cycle
does not change the solution set.
Distributive Property:
41. 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.'
Group
The Prime Number Theorem
Additive Identity:
Irrational
42. The inverse of multiplication
Polynomial
division
Amplitude
Denominator
43. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
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
Euclid's Postulates
Expected Value
Group
44. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in
The Additive Identity Property
Answer the Question
The BML Traffic Model
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
45. Cannot be written as a ratio of natural 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
Division by Zero
Irrational
Probability
46. 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
Commutative Property of Addition:
Principal Curvatures
Group
47. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
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48. A topological invariant that relates a surface's vertices - edges - and faces.
Amplitude
Euler Characteristic
Invarient
Modular Arithmetic
49. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even
Division by Zero
Composite Numbers
Multiplication
Denominator
50. If its final digit is a 0.
A number is divisible by 10
Fourier Analysis and Synthesis
the set of natural numbers
Principal Curvatures