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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. A + 0 = 0 + a = a
A number is divisible by 3
Additive Identity:
Hypercube
Standard Deviation
2. Is a path that visits every node in a graph and ends where it began.
Extrinsic View
set
Hyperbolic Geometry
Hamilton Cycle
3. 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.
Prime Number
Solution
variable
Hyperbolic Geometry
4. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a
The inverse of multiplication is division
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
The Set of Whole Numbers
Equation
5. Is the shortest string that contains all possible permutations of a particular length from a given set.
Aleph-Null
Associative Property of Addition:
Torus
De Bruijn Sequence
6. A · b = b · a
Amplitude
a + c = b + c
Commutative Property of Multiplication:
Cardinality
7. A · 1 = 1 · a = a
Multiplicative Identity:
Factor Trees
Cayley's Theorem
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
8. Are the fundamental building blocks of arithmetic.
Countable
Invarient
Primes
variable
9. Negative
Periodic Function
Commensurability
Sign Rules for Division
Spherical Geometry
10. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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11. 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.'
˜
Set up a Variable Dictionary.
The inverse of multiplication is division
Divisible
12. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
Countable
Fundamental Theorem of Arithmetic
Markov Chains
Division is not Commutative
13. Solving Equations
Overtone
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
Transfinite
14. If a = b then
Grouping Symbols
Solution
Set up an Equation
a · c = b · c for c does not equal 0
15. 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
Commutative Property of Multiplication:
left to right
Additive Inverse:
16. N = {1 - 2 - 3 - 4 - 5 - . . .}.
Aleph-Null
Complete Graph
the set of natural numbers
The Associative Property of Multiplication
17. The system that Euclid used in The Elements
Public Key Encryption
Solve the Equation
Axiomatic Systems
Multiplication
18. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Continuous
Factor Tree Alternate Approach
Probability
The inverse of multiplication is division
19. If a is any whole number - then a
The Multiplicative Identity Property
Division is not Associative
The Distributive Property (Subtraction)
a · c = b · c for c does not equal 0
20. 4 more than a certain number is 12
Frequency
Symmetry
Prime Deserts
4 + x = 12
21. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Continuous Symmetry
Greatest Common Factor (GCF)
Invarient
Box Diagram
22. When writing mathematical statements - follow the mantra:
Aleph-Null
Geometry
One equal sign per line
The inverse of addition is subtraction
23. This method can create a flat map from a curved surface while preserving all angles in any features present.
Fourier Analysis and Synthesis
Principal Curvatures
Stereographic Projection
The inverse of subtraction is addition
24. All integers are thus divided into three classes:
the set of natural numbers
1. The unit 2. Prime numbers 3. Composite numbers
Symmetry
Galois Theory
25. A point in three-dimensional space requires three numbers to fix its location.
Associative Property of Addition:
The Set of Whole 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
Spaceland
26. (a
Division is not Associative
Products and Factors
Rational
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
27. The amount of displacement - as measured from the still surface line.
Denominator
does not change the solution set.
Amplitude
Multiplication by Zero
28. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
inline
Permutation
˜
Non-Euclidian Geometry
29. A topological object that can be used to study the allowable states of a given system.
Overtone
does not change the solution set.
Noether's Theorem
Configuration Space
30. Cannot be written as a ratio of natural numbers.
inline
Axiomatic Systems
Irrational
Non-Orientability
31. Uses second derivatives to relate acceleration in space to acceleration in time.
evaluate the expression in the innermost pair of grouping symbols first.
Wave Equation
Dividing both Sides of an Equation by the Same Quantity
Multiplicative Identity:
32. 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.
A prime number
Aleph-Null
Principal Curvatures
variable
33. A(b + c) = a · b + a · c a(b - c) = a · b - a · c
a + c = b + c
Wave Equation
Distributive Property:
Associative Property of Addition:
34. Let a - b - and c be any whole numbers. Then - a
Noether's Theorem
Law of Large Numbers
The Distributive Property (Subtraction)
Commutative Property of Addition:
35. 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.
the set of natural numbers
Set up an Equation
Extrinsic View
36. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Cayley's Theorem
Associative Property of Multiplication:
Fourier Analysis and Synthesis
Genus
37. 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
Problem of the Points
Frequency
Spaceland
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
38. A + b = b + a
Prime Deserts
Commutative Property of Addition:
Noether's Theorem
Poincare Disk
39. Two equations if they have the same solution set.
Equivalent Equations
The inverse of multiplication is division
Spaceland
Fourier Analysis and Synthesis
40. The study of shape from the perspective of being on the surface of the shape.
Geometry
Law of Large Numbers
Denominator
Intrinsic View
41. The process of taking a complicated signal and breaking it into sine and cosine components.
Commutative Property of Multiplication
De Bruijn Sequence
Fourier Analysis
Modular Arithmetic
42. If a = b then
a - c = b - c
a
Noether's Theorem
Look Back
43. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.
Transfinite
Solution
Cardinality
Grouping Symbols
44. Mathematical statement that equates two mathematical expressions.
Solve the Equation
Equation
Torus
Invarient
45. If its final digit is a 0 or 5.
1. The unit 2. Prime numbers 3. Composite numbers
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
A number is divisible by 5
Sign Rules for Division
46. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina
left to right
Factor Trees
Hamilton Cycle
Pigeonhole Principle
47. If grouping symbols are nested
Primes
evaluate the expression in the innermost pair of grouping symbols first.
Division is not Commutative
Conditional Probability
48. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
Normal Distribution
Variable
In Euclidean four-space
each whole number can be uniquely decomposed into products of primes.
49. The surface of a standard 'donut shape'.
Stereographic Projection
Extrinsic View
Torus
The inverse of multiplication is division
50. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
Division is not Commutative
Galois Theory
Euler Characteristic
Exponents