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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. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Problem of the Points
Commutative Property of Addition:
Line Land
2. A factor tree is a way to visualize a number's
The Riemann Hypothesis
The inverse of addition is subtraction
Division by Zero
prime factors
3. Requirements for Word Problem Solutions.
Tone
The inverse of addition is subtraction
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Complete Graph
4. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Genus
Central Limit Theorem
Multiplicative Identity:
The Prime Number Theorem
5. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
Topology
Group
Countable
The Riemann Hypothesis
6. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
Probability
counting numbers
Set up an Equation
The Multiplicative Identity Property
7. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
The Riemann Hypothesis
left to right
Periodic Function
Galois Theory
8. 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
Multiplicative Inverse:
Fundamental Theorem of Arithmetic
evaluate the expression in the innermost pair of grouping symbols first.
Answer the Question
9. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).
A number is divisible by 9
division
Set up a Variable Dictionary.
counting numbers
10. Mathematical statement that equates two mathematical expressions.
Equation
counting numbers
Aleph-Null
Distributive Property:
11. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
a divided by b
Factor Trees
The BML Traffic Model
Associate Property of Addition
12. 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.
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
bar graph
4 + x = 12
Problem of the Points
13. Let a - b - and c be any whole numbers. Then - a
perimeter
The Distributive Property (Subtraction)
Standard Deviation
Galton Board
14. If its final digit is a 0.
Invarient
Dimension
Prime Deserts
A number is divisible by 10
15. × - ( )( ) - · - 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
Non-Euclidian Geometry
Complete Graph
Non-Orientability
Multiplication
16. Original Balance minus River Tam's Withdrawal is Current Balance
Distributive Property:
Box Diagram
B - 125 = 1200
Solve the Equation
17. 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.
Hamilton Cycle
Modular Arithmetic
Non-Orientability
Topology
18. The surface of a standard 'donut shape'.
a · c = b · c for c does not equal 0
Central Limit Theorem
Torus
Associate Property of Addition
19. A
Non-Orientability
A number is divisible by 10
Division is not Commutative
Problem of the Points
20. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
the set of natural numbers
Noether's Theorem
The Set of Whole Numbers
Law of Large Numbers
21. Means approximately equal.
Multiplication
˜
Hamilton Cycle
The Prime Number Theorem
22. If a and b are any whole numbers - then a
a divided by b
Commutative Property of Multiplication
Primes
Multiplicative Inverse:
23. 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.
a · c = b · c for c does not equal 0
Geometry
One equal sign per line
The Kissing Circle
24. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
Multiplicative Inverse:
Aleph-Null
Solve the Equation
A number is divisible by 3
25. Index p radicand
counting numbers
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Galton Board
Fourier Analysis and Synthesis
26. 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
Irrational
Division by Zero
The Same
Hyperland
27. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Prime Deserts
a - c = b - c
Periodic Function
The Riemann Hypothesis
28. This method can create a flat map from a curved surface while preserving all angles in any features present.
Irrational
Additive Identity:
a - c = b - c
Stereographic Projection
29. If a whole number is not a prime number - then it is called a...
Overtone
Composite Numbers
1. The unit 2. Prime numbers 3. Composite numbers
Line Land
30. A · b = b · a
Continuous
Commutative Property of Multiplication:
Hyperland
In Euclidean four-space
31. If a represents any whole number - then a
Multiplication by Zero
Geometry
Overtone
Wave Equation
32. A point in three-dimensional space requires three numbers to fix its location.
B - 125 = 1200
Spaceland
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
repeated addition
33. The fundamental theorem of arithmetic says that
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Properties of Equality
Geometry
each whole number can be uniquely decomposed into products of primes.
34. 4 more than a certain number is 12
variable
a - c = b - c
Probability
4 + x = 12
35. You must always solve the equation set up in the previous step.
a divided by b
Poincare Disk
Composite Numbers
Solve the Equation
36. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
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37. Writing Mathematical equations - arrange your work one equation
per line
a - c = b - c
Variable
bar graph
38. Division by zero is undefined. Each of the expressions 6
a · c = b · c for c does not equal 0
Symmetry
B - 125 = 1200
Division by Zero
39. Dimension is how mathematicians express the idea of degrees of freedom
Dimension
The inverse of addition is subtraction
Sign Rules for Division
a + c = b + c
40. A flat map of hyperbolic space.
Poincare Disk
Problem of the Points
Non-Euclidian Geometry
Bijection
41. An important part of problem solving is identifying
Overtone
General Relativity
a
variable
42. The state of appearing unchanged.
Invarient
Standard Deviation
Multiplicative Inverse:
A number is divisible by 9
43. (a + b) + c = a + (b + c)
Non-Euclidian Geometry
Associative Property of Addition:
Greatest Common Factor (GCF)
Additive Identity:
44. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Cardinality
Tone
Line Land
Associative Property of Addition:
45. Is a symbol (usually a letter) that stands for a value that may vary.
Variable
set
Galton Board
a
46. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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47. An arrangement where order matters.
Permutation
A number is divisible by 10
Look Back
A number is divisible by 5
48. Add and subtract
inline
A number is divisible by 10
The Commutative Property of Addition
Axiomatic Systems
49. 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)
Countable
Commensurability
Look Back
Multiplication by Zero
50. 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.
Principal Curvatures
The Prime Number Theorem
Bijection
Associate Property of Addition