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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
Subjects
:
clep
,
math
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. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
To convert any fraction to higher terms
like fractions
Evaluating Powers With Negative Exponents
square unit
2. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
order of operations
Decimals/Percents
Number
the Complement of that part to the whole
3. The distance around a figure
numerator
perimeter
acute angle
Equal
4. Any number with an exponent of 1
equal to itself.
Carry the 10's digit of the product to the top of the 10's column of factors.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
parallel lines
5. Breaking down a composite number until all of the factors are prime
prime factorization
y-axis
equation
parallel lines
6. The Only possible factors for a prime number are
0
quotient
1 and itself
the Complement of that part to the whole
7. Species of Quantities are signified by
area
Original x (1 - x/100) = New
lowercase letters
Known quantities
8. Always try to Factor a quadratic equation
Is equal to the original value
before solving
mode
How the Last Digit Shortcut works
9. Is equal to the original value. a x 1 = 1
quadrilateral
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
The rule for adding negative integers is the same as the rule for adding positive integers:
Any value multiplied by one
10. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
area
both integers are positive or both are negative
Step 2 of Converting mixed numbers to improper fractions
quotient
11. The ratio of a number to 100 (per one hundred). The symbol %
percent
A = (Base x Height) / 2 - A = (BH)/2
Axiom VI.
inverse operations
12. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
quotient
trapezoid
Proof
13. The two kinds of Magnitude are
complementary angle
numerator
Magnitude at Rest and Magnitude in Motion
equilateral triangle
14. The number to be multiplied by is called the
probability
multiplier
cross product
'six cubed'
15. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
Axiom IV.
Even
base
16. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Decimals/Percents
supplementary angles
Wage Rate ($ per hr) x Hrs worked
Whole
17. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
scale drawing
Alternative to the algebraic manipulation method to solving a VIC
Zero multiplied by any value
To square an equation to solve it
18. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
reduced fraction
2 and/or 5 only
Greater
To add integers that have the same sign (both positive or both negative):
19. Change + - Original = New
Change / Original Formula?
There are two parts in the procedure for subtracting signed integers:
Converting Improper Fractions to Mixed Numbers
polygon
20. A value that combines a whole number and a fractional amount
mixed number
from left to right
higher terms
mixed fraction
21. The result of the division called the
product
squared
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
quotient
22. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?
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23. Two numbers are said to be equal (=) when they are at
the same point on the number line
numerator
To find out - easily - if one fraction is bigger than another
percent
24. What is the only Even prime number?
Absolute and Relative
fraction or broken number
Change + - Original = New
2
25. What's the reciprocal of v6 - and why?
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
Is zero
always clear the innermost groups first
reciprocal
26. Things are Equal in Multitude when they are
Percent Change
prism
referred to Unity in the same way
dividing the numerator and denominator by the same number
27. The ratio of integers that results in a terminating decimal
quadrilateral
Some integer/Some Power of 10
unit ratio
quadrant
28. Having the same size and shape
congruent
Decreases
To add integers that have the same sign both positive or both negative:
equation
29. Any number with a negative exponent
equal to 1 divided by that number with a positive exponent
circumference
Any value multiplied by one
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
30. The result of the multiplication is called the
Every integer between 1 and X - inclusive - must be a factor of X
'six cubed'
diameter
product
31. A mathematical sentence that uses an equal sign
before solving
Original x (1 - x/100) = New
reciprocal
equation
32. A triangle with sides of different lengths and no two angles are the same
Unity - or a Unit
Even
scalene triangle
Composite number
33. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Even
pi
product
rectangle
34. The distance around a circle (the perimeter of a circle)
sum
1
median
circumference
35. The formula for the Area of a Rhombus is?
( (Last - First) / Increment ) + 1
A = (Diagonal1 x Diagonal2) / 2
like fractions
Shift DP 2 places right
36. A whole number that has only one set of factors - itself and 1.
prime number
Wage Rate ($ per hr) x Hrs worked
Equality
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
37. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
prism
When the addends have opposite signs one is + and the other is -
reflection
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
38. In a group of values - the value that occurs most often.
equivalent
Percent Decrease Formula
diameter
mode
39. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
Even - Odd or Non-Int
quotient
Arithmetic - Music - Geometry and Astronomy
Same units
40. What is the formula forCounting consecutive integers?
Even
Number
(Last - First + 1)
commutative law of multiplication
41. The largest integer that can be divided evenly into both the numerator and denominator.
Species
Reducing by the Largest Common Factor (LCF)
exactly the same portion
polygon
42. A ratio that shows the cost per unit of measure
probability
Relative multitude
right triangle
unit ratio
43. Is the agreement of things in Quanity.
scale drawing
Odd
right angle
Equality
44. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
1
exactly the same portion
circumference
Even - Odd or Non-Int
45. A polygon with six sides.
1 - (y/100)
Number
ratio
hexagon
46. Two angles whose sum is 180 degrees
order of operations
Axiom IV.
Axiom VII.
supplementary angles
47. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Arithmetic - Music - Geometry and Astronomy
right angle
x-coordinate
they have the same absolute value
48. Includes an integer as well as a fractional part
mode
mixed number
vertex (vertices - plural)
factoring
49. In a division problem - the number that an amount is divided by
Inserting a zero at the right end of a whole number
divisor
Even
x/100
50. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Being divided by a power of 10
circumference
How the Last Digit Shortcut works
Number Systems