SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
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. Negative
Commutative Property of Multiplication:
Frequency
Sign Rules for Division
Intrinsic View
2. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Additive Inverse:
˜
Composite Numbers
Box Diagram
3. A
4 + x = 12
Division by Zero
Division is not Commutative
Cayley's Theorem
4. 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.
Hypersphere
Principal Curvatures
˜
The Associative Property of Multiplication
5. A topological object that can be used to study the allowable states of a given system.
Products and Factors
Configuration Space
Continuous Symmetry
Hyperbolic Geometry
6. The study of shape from the perspective of being on the surface of the shape.
Intrinsic View
Answer the Question
Box Diagram
Ramsey Theory
7. Two equations if they have the same solution set.
Equivalent Equations
Cayley's Theorem
A number is divisible by 10
Irrational
8. 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).
Overtone
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Prime Number
Galton Board
9. A factor tree is a way to visualize a number's
Dimension
De Bruijn Sequence
Poincare Disk
prime factors
10. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
Cayley's Theorem
inline
set
Set up an Equation
11. If a is any whole number - then a
The Multiplicative Identity Property
a - c = b - c
The inverse of multiplication is division
Distributive Property:
12. Means approximately equal.
Commutative Property of Addition:
Noether's Theorem
˜
Spaceland
13. 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.
Multiplying both Sides of an Equation by the Same Quantity
Countable
The inverse of subtraction is addition
14. Positive integers are
Dividing both Sides of an Equation by the Same Quantity
counting numbers
Sign Rules for Division
Extrinsic View
15. Einstein's famous theory - relates gravity to the curvature of spacetime.
Aleph-Null
General Relativity
Set up an Equation
counting numbers
16. Multiplication is equivalent to
Factor Tree Alternate Approach
perimeter
repeated addition
Sign Rules for Division
17. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar
Least Common Multiple (LCM)
Products and Factors
Permutation
Commutative Property of Multiplication
18. 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.
prime factors
B - 125 = 1200
Fourier Analysis and Synthesis
Geometry
19. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Group
Rarefactior
Genus
The Distributive Property (Subtraction)
20. If grouping symbols are nested
The Kissing Circle
evaluate the expression in the innermost pair of grouping symbols first.
General Relativity
Polynomial
21. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
A number is divisible by 10
Properties of Equality
Permutation
Additive Inverse:
22. 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).
A number is divisible by 3
Variable
Configuration Space
General Relativity
23. A topological invariant that relates a surface's vertices - edges - and faces.
Euler Characteristic
Variable
The Distributive Property (Subtraction)
Equation
24. Requirements for Word Problem Solutions.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
the set of natural numbers
Spherical Geometry
Solve the Equation
25. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
The inverse of subtraction is addition
In Euclidean four-space
The Additive Identity Property
division
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
Conditional Probability
Associative Property of Addition:
Polynomial
Set up a Variable Dictionary.
27. A graph in which every node is connected to every other node is called a complete graph.
The inverse of multiplication is division
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Complete Graph
per line
28. Is a path that visits every node in a graph and ends where it began.
Commutative Property of Addition:
Hamilton Cycle
Fundamental Theorem of Arithmetic
Polynomial
29. Has no factors other than 1 and itself
Box Diagram
A number is divisible by 5
A prime number
Discrete
30. Original Balance minus River Tam's Withdrawal is Current Balance
Least Common Multiple (LCM)
Rarefactior
B - 125 = 1200
Division by Zero
31. A + b = b + a
Commutative Property of Addition:
counting numbers
Non-Orientability
Stereographic Projection
32. If its final digit is a 0 or 5.
A number is divisible by 5
a + c = b + c
Sign Rules for Division
Tone
33. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
Expected Value
Multiplication
Pigeonhole Principle
De Bruijn Sequence
34. 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.
Extrinsic View
a
Hyperbolic Geometry
Law of Large Numbers
35. 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
Stereographic Projection
a + c = b + c
Bijection
Factor Tree Alternate Approach
36. Are the fundamental building blocks of arithmetic.
Division is not Associative
Distributive Property:
Divisible
Primes
37. Let a and b represent two whole numbers. Then - a + b = b + a.
Multiplicative Inverse:
Multiplying both Sides of an Equation by the Same Quantity
Rarefactior
The Commutative Property of Addition
38. 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
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
Invarient
Symmetry
Extrinsic View
39. Division by zero is undefined. Each of the expressions 6
Probability
Set up a Variable Dictionary.
Division by Zero
Continuous
40. If a whole number is not a prime number - then it is called a...
bar graph
Composite Numbers
Hyperland
Associative Property of Multiplication:
41. A · 1/a = 1/a · a = 1
evaluate the expression in the innermost pair of grouping symbols first.
Distributive Property:
Multiplicative Inverse:
Countable
42. Mathematical statement that equates two mathematical expressions.
Prime Deserts
Unique Factorization Theorem
Set up an Equation
Equation
43. (a
Continuous
Division is not Associative
Prime Number
Geometry
44. Uses second derivatives to relate acceleration in space to acceleration in time.
Wave Equation
Fourier Analysis
a divided by b
Spherical Geometry
45. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
Dimension
set
A prime number
Products and Factors
46. 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.
Non-Orientability
The Prime Number Theorem
Exponents
left to right
47. A + 0 = 0 + a = a
Invarient
Additive Identity:
Discrete
Solve the Equation
48. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.
Ramsey Theory
Commutative Property of Addition:
Solve the Equation
Invarient
49. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
a
Pigeonhole Principle
50. Is the shortest string that contains all possible permutations of a particular length from a given set.
De Bruijn Sequence
Set up a Variable Dictionary.
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.
Non-Orientability