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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. 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
The Ratio of Any two of the following: Original - Change and New
Being divided by a power of 10
complementary angles
farther to the left on the number line
2. An equation stating that two ratios are equal
1
Unit Price x Qty. Sold
proportion
Inequality
3. Original x (1 - x/100) = New
Percent Decrease Formula
Reducing fractions
Inequality
equation
4. What is the perimeter of a Polygon?
absolute value
Odd or Non-Int
greatest common factor (GCF)
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
5. The result of the division called the
quotient
x-axis
Revenue ($) - Cost ($)
Axiom V.
6. Sale Price = ?
Known (Given) and Unknown (Sought)
Unit Cost + Markup
equal to itself.
mixed number
7. Every number is contained in itself once.
'five squared'
equation
Even div. by 4
Axiom VII.
8. Are those things collected in a whole.
The sum of all the integers from 20 to 100 - inclusive
equal to 1 divided by that number with a positive exponent
right triangle
Parts
9. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
scalene triangle
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Greater
Axiom X.
10. The base of a triangle refers to?
Step 2 of Converting Improper Fractions to Mixed Numbers
fraction or broken number
2 and/or 5 only
The bottom side of the triangle
11. The distance around a figure.
proportion
the Complement of that part to the whole
perimeter
Odd
12. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
product
the same point on the number line
numerator
absolute value
13. A mirror image of a figure shown over a line of reflection
commutative law of multiplication
reflection
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Unit Price x Qty. Sold
14. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
More
supplementary angles
Evaluating Powers With Negative Exponents
cross product
15. The vertical number line of a coordinate graph
numerator
( (Last - First) / Increment ) + 1
y-axis
axiom
16. A value such as 5^2 can be called
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17. 1 to any power is equal to
equilateral triangle
1
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
Mathematics
18. An equation stating that two ratios are equal
To add integers that have the same sign (both positive or both negative):
proportion
Even
denominator
19. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
absolute value
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
equal to 1
Aliquot Part
20. Things are Equal in Magnitude when they are
lowest terms
To add integers that have the same sign (both positive or both negative):
difference
referred to the same Unit
21. The vertical number line of a coordinate graph
y-axis
quotient
A = (D1 x D2) / 2
obtuse angle
22. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
parallel lines
improper fraction
To add integers that have opposite signs:
base
23. A quadrilateral with two pairs of congruent - parallel sides.
enclosing the numbers in a pair of vertical lines | |
equal to 1
parallelogram
62.5%
24. A parallelogram with four right angles
Relative multitude
rectangle
lowest terms
prime number
25. ' x percent' = ?
x/100
Multitude
equivalent
Step 2 of Converting mixed numbers to improper fractions
26. Any value divided by one
Decreases
Is equal to the original value
Aliquant Part
equivalent
27. 0.625 --> Fraction ?
2 and/or 5 only
product
5/8
(Last - First + 1)
28. The absolute value of numbers is indicated by
enclosing the numbers in a pair of vertical lines | |
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
complementary angle
sum
29. The difference between the least and greatest values in a set of numbers.
Known quantities
To add integers that have opposite signs:
range
sum
30. What is the formula forCounting consecutive integers?
Being divided by a power of 10
Original + Change = New Change/Original = Percent Change
median
(Last - First + 1)
31. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
Step 1 of Converting Improper Fractions to Mixed Numbers
equilateral triangle
A = (Diagonal1 x Diagonal2) / 2
x = (+-) a
32. A value that combines a whole number and a fractional amount
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
straight angle
simplify
mixed number
33. One number is said to be less than (<) another when it is
isosceles triangle
composite number
farther to the left on the number line
x-coordinate
34. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
Decimals/Percents
lowercase Variables
equal to 1
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
35. The Sum of n consecutive integers is divisible by n if n is
Always completed first
When the addends have the same sign both + or both -
Odd
To add integers that have the same sign (both positive or both negative):
36. One of the four regions formed by the intersection of the axes of a coordinate graph
Power notation
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
prism
quadrant
37. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
Adding negative integers will always produce a negative sum
Line Segments
1
When to use the Heavy Division Shortcut - and how to do it
38. The whole is more or greater than its part.
pentagon
x-axis
Axiom IV.
Inserting a zero at the left end of a whole number
39. A self-evident statement - that is - one that does not need to be demonstrated.
x-coordinate
common factor
axiom
referred to Unity in the same way
40. The Sum of n consecutive integers is Not divisible by n if n is
mean
How the Last Digit Shortcut works
unit ratio
Even
41. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Odd
Percent Decrease Formula
Known quantities
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
42. The numerator is smaller than the denominator
Aliquant Part
proper fraction
5/8
right triangle
43. A quadrilateral with two pairs of congruent - parallel sides
referred to the same Unit
order of operations
whether the addends have the same sign or opposite signs
parallelogram
44. The result of multiplying two or more numbers.
vertex (vertices - plural)
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
product
x-axis
45. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
More
Odd
congruent
The concept of trading decimal places and how it works
46. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Different Units
Alternative to the algebraic manipulation method to solving a VIC
0.625
47. Indicates the number to be multiplied
Percent Change
Odd or Non-Int
base
mixed number
48. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
Long Division
When the addends have the same sign both + or both -
right angle
Axiom VII.
49. When will a decimal Not terminate and why?
improper fraction
denominator
quadrilateral
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
50. What is the formula forCounting consecutive multiples?
The concept of trading decimal places and how it works
( (Last - First) / Increment ) + 1
Shift DP 2 places right
lowercase letters