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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. A topological object that can be used to study the allowable states of a given system.
Associative Property of Addition:
Configuration Space
a · c = b · c for c does not equal 0
A number is divisible by 3
2. Are the fundamental building blocks of arithmetic.
set
Factor Trees
Multiplying both Sides of an Equation by the Same Quantity
Primes
3. N = {1 - 2 - 3 - 4 - 5 - . . .}.
The Multiplicative Identity Property
the set of natural numbers
The Distributive Property (Subtraction)
Variable
4. (a · b) · c = a · (b · c)
Exponents
Additive Identity:
Associative Property of Multiplication:
Principal Curvatures
5. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
De Bruijn Sequence
One equal sign per line
Overtone
Invarient
6. Cannot be written as a ratio of natural numbers.
Associate Property of Addition
Greatest Common Factor (GCF)
Fundamental Theorem of Arithmetic
Irrational
7. 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
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
Additive Inverse:
The Same
Multiplicative Inverse:
8. A · 1/a = 1/a · a = 1
Sign Rules for Division
B - 125 = 1200
Comparison Property
Multiplicative Inverse:
9. 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)
Complete Graph
Noether's Theorem
Commensurability
the set of natural numbers
10. A + (-a) = (-a) + a = 0
a · c = b · c for c does not equal 0
perimeter
Factor Tree Alternate Approach
Additive Inverse:
11. A topological invariant that relates a surface's vertices - edges - and faces.
Divisible
Intrinsic View
Euler Characteristic
Polynomial
12. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
Factor Trees
Problem of the Points
Non-Euclidian Geometry
Configuration Space
13. 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
Answer the Question
Solution
a - c = b - c
Hypersphere
14. You must always solve the equation set up in the previous step.
Extrinsic View
Commensurability
Hyperbolic Geometry
Solve the Equation
15. Mathematical statement that equates two mathematical expressions.
Central Limit Theorem
A number is divisible by 5
Equation
repeated addition
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. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
Set up an Equation
Spaceland
The Set of Whole Numbers
evaluate the expression in the innermost pair of grouping symbols first.
18. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
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19. Means approximately equal.
a divided by b
Spaceland
The Additive Identity Property
˜
20. An arrangement where order matters.
The Prime Number Theorem
Permutation
Bijection
Prime Deserts
21. If a = b then
counting numbers
Symmetry
a + c = b + c
Expected Value
22. If a - b - and c are any whole numbers - then a
A number is divisible by 9
Countable
Fundamental Theorem of Arithmetic
The Associative Property of Multiplication
23. Original Balance minus River Tam's Withdrawal is Current Balance
Intrinsic View
B - 125 = 1200
Primes
The Same
24. Negative
Fourier Analysis
Sign Rules for Division
Invarient
left to right
25. A way to measure how far away a given individual result is from the average result.
Complete Graph
Associate Property of Addition
Expected Value
Standard Deviation
26. 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.
Fourier Analysis and Synthesis
Commutative Property of Multiplication:
The BML Traffic Model
Wave Equation
27. 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
Torus
perimeter
a · c = b · c for c does not equal 0
28. 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
Look Back
Irrational
Discrete
Invarient
29. The state of appearing unchanged.
Invarient
Cardinality
a divided by b
bar graph
30. A number is divisible by 2
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Hyperland
a + c = b + c
Spherical Geometry
31. In the expression 3
Products and Factors
left to right
The Set of Whole Numbers
set
32. Index p radicand
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Distributive Property:
Look Back
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.
33. To describe and extend a numerical pattern
Answer the Question
Greatest Common Factor (GCF)
Fourier Analysis and Synthesis
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.
34. A · b = b · a
Cayley's Theorem
Commutative Property of Multiplication:
The inverse of subtraction is addition
Multiplication by Zero
35. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Fundamental Theorem of Arithmetic
Central Limit Theorem
variable
Figurate Numbers
36. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Associate Property of Addition
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.
Problem of the Points
Genus
37. Rules for Rounding - To round a number to a particular place - follow these steps:
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
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
Noether's Theorem
Division by Zero
38. The surface of a standard 'donut shape'.
Permutation
left to right
Torus
The Prime Number Theorem
39. If a and b are any whole numbers - then a
Greatest Common Factor (GCF)
Commutative Property of Multiplication
Principal Curvatures
Irrational
40. 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
Prime Number
counting numbers
Symmetry
The Riemann Hypothesis
41. 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.
Torus
Discrete
Wave Equation
Galton Board
42. All integers are thus divided into three classes:
The Set of Whole Numbers
1. The unit 2. Prime numbers 3. Composite numbers
the set of natural numbers
Rational
43. 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.
Solution
Least Common Multiple (LCM)
Primes
Flat Land
44. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Fourier Analysis and Synthesis
Pigeonhole Principle
Properties of Equality
The Same
45. A graph in which every node is connected to every other node is called a complete graph.
set
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Invarient
Complete Graph
46. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
A number is divisible by 9
Aleph-Null
Torus
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.
47. If a whole number is not a prime number - then it is called a...
per line
Composite Numbers
each whole number can be uniquely decomposed into products of primes.
Additive Identity:
48. 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.
Equation
Normal Distribution
Line Land
Standard Deviation
49. 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.
Topology
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
The inverse of addition is subtraction
Non-Orientability
50. (a
counting numbers
perimeter
Multiplicative Inverse:
Division is not Associative