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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. Original Balance minus River Tam's Withdrawal is Current Balance
Problem of the Points
a · c = b · c for c does not equal 0
B - 125 = 1200
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
2. 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
Conditional Probability
Transfinite
Prime Number
The Same
3. You must always solve the equation set up in the previous step.
Solve the Equation
counting numbers
Distributive Property:
Central Limit Theorem
4. 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
Genus
Hyperbolic Geometry
Symmetry
The Distributive Property (Subtraction)
5. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -
Associate Property of Addition
Denominator
Primes
The inverse of subtraction is addition
6. Are the fundamental building blocks of arithmetic.
In Euclidean four-space
Galton Board
Continuous
Primes
7. The fundamental theorem of arithmetic says that
Unique Factorization Theorem
each whole number can be uniquely decomposed into products of primes.
Central Limit Theorem
Periodic Function
8. 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
Pigeonhole Principle
The inverse of multiplication is division
Cayley's Theorem
Set up a Variable Dictionary.
9. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Additive Identity:
Continuous
Poincare Disk
Hamilton Cycle
10. 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
Commutative Property of Addition:
Problem of the Points
The Set of Whole Numbers
Frequency
11. Has no factors other than 1 and itself
The BML Traffic Model
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.
A prime number
Solve the Equation
12. If a and b are any whole numbers - then a
Commutative Property of Multiplication
Grouping Symbols
inline
Hyperbolic Geometry
13. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Multiplying both Sides of an Equation by the Same Quantity
Permutation
Wave Equation
Genus
14. If a represents any whole number - then a
Prime Deserts
Least Common Multiple (LCM)
Multiplication by Zero
The Same
15. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
perimeter
bar graph
Tone
Permutation
16. Division by zero is undefined. Each of the expressions 6
The BML Traffic Model
Non-Orientability
Division by Zero
Dividing both Sides of an Equation by the Same Quantity
17. 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.
Principal Curvatures
Modular Arithmetic
Bijection
Fourier Analysis
18. Add and subtract
Hamilton Cycle
inline
Configuration Space
a
19. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
The Prime Number Theorem
Prime Deserts
a + c = b + c
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.
20. (a + b) + c = a + (b + c)
Greatest Common Factor (GCF)
Associative Property of Addition:
Normal Distribution
Distributive Property:
21. In the expression 3
The Prime Number Theorem
Fourier Analysis
Products and Factors
1. The unit 2. Prime numbers 3. Composite numbers
22. A · 1/a = 1/a · a = 1
Multiplicative Inverse:
Divisible
Fourier Analysis and Synthesis
The inverse of addition is subtraction
23. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Noether's Theorem
Distributive Property:
variable
Figurate Numbers
24. Negative
Equivalent Equations
The Riemann Hypothesis
The inverse of subtraction is addition
Sign Rules for Division
25. 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.
bar graph
De Bruijn Sequence
Axiomatic Systems
Products and Factors
26. If a = b then
a + c = b + c
Denominator
Aleph-Null
prime factors
27. Is a symbol (usually a letter) that stands for a value that may vary.
Variable
Denominator
A number is divisible by 5
A number is divisible by 10
28. 1. Find the prime factorizations of each number.
Irrational
Wave Equation
Poincare Disk
Greatest Common Factor (GCF)
29. 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
Look Back
Pigeonhole Principle
a + c = b + c
Hypersphere
30. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
The Additive Identity Property
Principal Curvatures
A prime number
Problem of the Points
31. 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.
Normal Distribution
Transfinite
Galois Theory
Modular Arithmetic
32. Dimension is how mathematicians express the idea of degrees of freedom
The inverse of addition is subtraction
Countable
Products and Factors
Dimension
33. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Box Diagram
Multiplication by Zero
Normal Distribution
Galois Theory
34. 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
Problem of the Points
Hyperland
Commutative Property of Multiplication:
Set up a Variable Dictionary.
35. Two equations if they have the same solution set.
The Same
One equal sign per line
Equivalent Equations
Look Back
36. 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.'
Hyperbolic Geometry
Divisible
Group
per line
37. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
a
Symmetry
Associate Property of Addition
Countable
38. A(b + c) = a · b + a · c a(b - c) = a · b - a · c
General Relativity
Distributive Property:
Expected Value
Figurate Numbers
39. If grouping symbols are nested
evaluate the expression in the innermost pair of grouping symbols first.
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
The Multiplicative Identity Property
Answer the Question
40. 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
Multiplicative Inverse:
Factor Tree Alternate Approach
The Kissing Circle
Products and Factors
41. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Discrete
Noether's Theorem
B - 125 = 1200
Modular Arithmetic
42. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'
The inverse of addition is subtraction
Hyperland
Transfinite
Wave Equation
43. Solving Equations
Figurate Numbers
Periodic Function
variable
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
44. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
division
Continuous
Box Diagram
Fundamental Theorem of Arithmetic
45. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
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46. N = {1 - 2 - 3 - 4 - 5 - . . .}.
the set of natural numbers
Ramsey Theory
Continuous Symmetry
repeated addition
47. Index p radicand
Associative Property of Multiplication:
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Hyperbolic Geometry
Hypersphere
48. Cannot be written as a ratio of natural numbers.
Irrational
Non-Euclidian Geometry
Noether's Theorem
Expected Value
49. If a = b then
Division is not Associative
Hypersphere
Answer the Question
a - c = b - c
50. A + b = b + a
Factor Tree Alternate Approach
Commutative Property of Addition:
Expected Value
Set up an Equation