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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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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. Two or more fractions that have the same denominator
like fractions
Mathematics
To square an equation to solve it
Decreases
2. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
congruent
polygon
Even and Odd
A minus sign ( - ) is used for two entirely different purposes:
3. The two kinds of Quantity are
divisor
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Multitudes and Magnitudes
1 - (y/100)
4. Unit Profit = ?
Sale Price - Unit Cost
lowest terms
probability
Odd
5. A number with an exponent of 2 is often said to be
rectangle
To make sure to solve for Both cases.
squared
simplify
6. Every lesser number is contained in a greater more than once.
Axiom VIII.
composite number
Even
Axiom VII.
7. Is Always perpendicular (at 90 deg. to) the base!
Unit Cost + Markup
range
The height of a triangle
Even
8. The vertical number line of a coordinate graph
Wage Rate ($ per hr) x Hrs worked
y-axis
acute angle
cross product
9. A polygon that has four sides
factoring
Step 2 of Converting mixed numbers to improper fractions
quadrilateral
2
10. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
octagon
To make sure to solve for Both cases.
x = (+-) a
polygon
11. The result of dividing one number by another; the solution to a division problem
reciprocal
quotient
simplify
mixed number
12. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
parallel lines
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Step 1 of Converting mixed numbers to improper fractions
Adding negative integers will always produce a negative sum
13. When the factors of a number are all prime numbers - the factors are said to be the
product
prime factors
Step 2 of Converting mixed numbers to improper fractions
Positive-value integers
14. A triangle with sides of different lengths and no two angles are the same.
product
exponent
The Ratio of Any two of the following: Original - Change and New
scalene triangle
15. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
mean
Inserting a zero at the right end of a whole number
improper fraction
2
16. All the positive whole numbers
the Complement of that part to the whole
quotient
The sum of all the integers from 20 to 100 - inclusive
integer values
17. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
perimeter
mixed fraction
When to use fractions
numerator
18. A triangle with two equal sides and two equal angles
isosceles triangle
fraction or broken number
rectangle
cross product
19. A value that combines a whole number and a fractional amount
percent
mixed number
prism
Wage Rate ($ per hr) x Hrs worked
20. The result of the multiplication is called the
prime number
product
ratio
complementary angles
21. A combination of numbers and variables connected by one or more operations signs
Even
factoring
contains only a single number
expression
22. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
The height of a triangle
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
Even
Step 1 of Converting Improper Fractions to Mixed Numbers
23. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
farther to the left on the number line
higher terms
referred to the same Unit
To square an equation to solve it
24. What are the 2 'percent change' equations?
Unknown quantities
The sum of all the integers from 20 to 100 - inclusive
Odd
Original + Change = New Change/Original = Percent Change
25. A comparison of the two values of two numbers
reciprocal
prism
ratio
Odd
26. The Sum of n consecutive integers is Not divisible by n if n is
Odd
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Even
circumference
27. 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
product
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
median
28. Even X Even = ? ... and is div. by ?
expression
quotient
Even div. by 4
cubed
29. The denominator of the fraction part of the mixed number is
Percent Decrease Formula
acute angle
the denominator of the original improper fraction
simplify
30. The two kinds of Magnitude are
One... the number 2
x-axis
product
Magnitude at Rest and Magnitude in Motion
31. A mathematical sentence that uses an equal sign
equation
area
multiplicand
Step 1 of Converting mixed numbers to improper fractions
32. A parallelogram with all sides equal and congruent
rhombus
quadrant
mode
the Complement of that part to the whole
33. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Odd
Whole Numbers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Even - Odd or Non-Int
34. 5/8 --> Decimal ?
always clear the innermost groups first
vertex (vertices - plural)
0.625
proper fractions
35. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
More
5/8
ratio
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
36. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
0
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
composite number
contains only a single number
37. The distance around a figure.
both integers are positive or both are negative
area
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
perimeter
38. The difference between the least and greatest values in a set of numbers
factors of the multiplication operation
dividend
Even div. by 4
range
39. Original x (1 - x/100) = New
Mathematics
improper fraction
Step 1 of Converting Improper Fractions to Mixed Numbers
Percent Decrease Formula
40. The number to be multiplied by is called the
mixed fraction
order of operations
multiplier
mean
41. 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.
parallel lines
Long Division
Sum of Interior Angles of a Polygon: (n - 2) x 180
unit ratio
42. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
When to use fractions
right triangle
Power notation
43. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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44. 3 ways to solve an absolute value inequality
dividing the numerator and denominator by the same number
Evaluating Powers With Negative Exponents
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
prime factors
45. The difference between the least and greatest values in a set of numbers.
quotient
range
Original + Change = New Change/Original = Percent Change
from left to right
46. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Even
To square an equation to solve it
Unit Price x Qty. Sold
Axiom VIII.
47. Anything that may be increased or diminished
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
pyramid
Quantity
polygon
48. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
ordered pair
cross product
To square an equation to solve it
combination of addition and subtraction
49. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
Odd
Negative-value integers
quotient
More
50. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
dividend
1 - (y/100)
The rule for adding negative integers is the same as the rule for adding positive integers:
Inserting a zero at the left end of a whole number
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