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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. If a = b then
a · c = b · c for c does not equal 0
Irrational
Figurate Numbers
One equal sign per line
2. An important part of problem solving is identifying
variable
Commensurability
Discrete
Commutative Property of Addition:
3. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator
The Prime Number Theorem
Additive Inverse:
Denominator
Euler Characteristic
4. 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).
Answer the Question
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
Prime Number
Figurate Numbers
5. Determines the likelihood of events that are not independent of one another.
Conditional Probability
In Euclidean four-space
inline
Poincare Disk
6. The process of taking a complicated signal and breaking it into sine and cosine components.
Spaceland
Fourier Analysis
Probability
Hypersphere
7. 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
Multiplying both Sides of an Equation by the Same Quantity
Normal Distribution
The BML Traffic Model
8. 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.
In Euclidean four-space
Multiplying both Sides of an Equation by the Same Quantity
bar graph
Intrinsic View
9. A + b = b + a
Hyperland
Commutative Property of Addition:
Configuration Space
a + c = b + c
10. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
Configuration Space
Public Key Encryption
The Set of Whole Numbers
Variable
11. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.
Dividing both Sides of an Equation by the Same Quantity
Galois Theory
Commutative Property of Addition:
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
12. Original Balance minus River Tam's Withdrawal is Current Balance
B - 125 = 1200
Discrete
Ramsey Theory
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
13. A · 1/a = 1/a · a = 1
The inverse of subtraction is addition
Multiplicative Inverse:
does not change the solution set.
Commutative Property of Addition:
14. An arrangement where order matters.
a - c = b - c
Permutation
Principal Curvatures
Public Key Encryption
15. 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.'
Divisible
Permutation
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.
Equation
16. 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.
per line
The inverse of multiplication is division
Products and Factors
Exponents
17. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.
Set up a Variable Dictionary.
The Multiplicative Identity Property
Modular Arithmetic
Hamilton Cycle
18. The amount of displacement - as measured from the still surface line.
Hyperland
Amplitude
Euler Characteristic
Look Back
19. Two equations if they have the same solution set.
Equivalent Equations
Equation
Rarefactior
Division is not Associative
20. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
Probability
Set up an Equation
Composite Numbers
Additive Inverse:
21. 1. Find the prime factorizations of each number.
Conditional Probability
Galton Board
Greatest Common Factor (GCF)
Dividing both Sides of an Equation by the Same Quantity
22. The expression a/b means
Variable
each whole number can be uniquely decomposed into products of primes.
Galois Theory
a divided by b
23. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
Figurate Numbers
Bijection
The Associative Property of Multiplication
Galois Theory
24. Einstein's famous theory - relates gravity to the curvature of spacetime.
General Relativity
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
Composite Numbers
25. 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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26. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
The BML Traffic Model
In Euclidean four-space
Principal Curvatures
Tone
27. Division by zero is undefined. Each of the expressions 6
perimeter
Configuration Space
Grouping Symbols
Division by Zero
28. 4 more than a certain number is 12
4 + x = 12
Figurate Numbers
Modular Arithmetic
Hypercube
29. (a
Probability
counting numbers
Multiplication
Division is not Associative
30. 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
left to right
the set of natural numbers
Polynomial
Least Common Multiple (LCM)
31. 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 · c = b · c for c does not equal 0
Markov Chains
Principal Curvatures
Probability
32. A factor tree is a way to visualize a number's
Torus
prime factors
a + c = b + c
Galton Board
33. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.
The inverse of subtraction is addition
Multiplication by Zero
Factor Tree Alternate Approach
Spherical Geometry
34. All integers are thus divided into three classes:
Group
Solve the Equation
1. The unit 2. Prime numbers 3. Composite numbers
Extrinsic View
35. A · 1 = 1 · a = a
Expected Value
Figurate Numbers
Prime Number
Multiplicative Identity:
36. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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37. A number is divisible by 2
Exponents
˜
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Geometry
38. If a is any whole number - then a
The Multiplicative Identity Property
Set up an Equation
Primes
Prime Deserts
39. 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.
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Geometry
Equivalent Equations
Multiplying both Sides of an Equation by the Same Quantity
40. If a - b - and c are any whole numbers - then a
Dimension
The Associative Property of Multiplication
Line Land
the set of natural numbers
41. 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.'
Products and Factors
Hyperland
Euler Characteristic
Standard Deviation
42. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
General Relativity
Hypersphere
Irrational
The Multiplicative Identity Property
43. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
Frequency
The Riemann Hypothesis
The Prime Number Theorem
The Set of Whole Numbers
44. A flat map of hyperbolic space.
Rational
Transfinite
Axiomatic Systems
Poincare Disk
45. If a = b then
A prime number
Non-Orientability
Central Limit Theorem
a - c = b - c
46. 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.
Irrational
Non-Orientability
Intrinsic View
Euclid's Postulates
47. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t
perimeter
Comparison Property
Poincare Disk
Permutation
48. 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).
Genus
A number is divisible by 9
Amplitude
Continuous
49. Negative
bar graph
Sign Rules for Division
Non-Euclidian Geometry
counting numbers
50. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
division
Division is not Associative
One equal sign per line
Line Land