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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. The number being divided is called the
dividend
Known (Given) and Unknown (Sought)
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?
Relative multitude
2. The ratio of a number to 100 (per one hundred). The symbol %
greatest common factor (GCF)
percent
Relative multitude
Fractions allow you to plot values between whole numbers and integers.
3. Whole is equal in Multitude to a Part of the other.
Equal
composite number
scalene triangle
Axiom II.
4. A fraction with all common factors (other than 1) factored out of the numerator and denominator
prime factorization
multiplicand
prime number
lowest terms
5. A mirror image of a figure shown over a line of reflection
reciprocal
1 - (y/100)
product
reflection
6. Two angles whose sum equals 90 degrees
complementary angle
Non-Int
Step 1 of Converting Improper Fractions to Mixed Numbers
quotient
7. The distance around a circle (the perimeter of a circle)
circumference
prism
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?
inverse
8. Cross-multiply
To find out - easily - if one fraction is bigger than another
A minus sign ( - ) is used for two entirely different purposes:
Non-Int
exponent
9. Any number with a negative exponent
right angle
equal to 1 divided by that number with a positive exponent
Revenue ($) - Cost ($)
y-axis
10. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
To make sure to solve for Both cases.
Converting mixed numbers to improper fractions.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
y-coordinate
11. The difference between the least and greatest values in a set of numbers
angle
dividing the numerator and denominator by the same number
reflection
range
12. The horizontal number line of a coordinate graph
quotient
x-axis
polygon
How the Last Digit Shortcut works
13. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
pi
denominator
To square an equation to solve it
Same units
14. What are the only prime factors that a fraction resulting in a terminating decimals have?
product
2 and/or 5 only
mode
octagon
15. If 2 numbers are OPPOSITES of each other
they have the same absolute value
axiom
Species
quotient
16. When will a decimal Not terminate and why?
roots of numbers
y-axis
Negative-value integers
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
17. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
vertex (vertices - plural)
When the addends have opposite signs one is + and the other is -
Axiom II.
Zero multiplied by any value
18. 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
Magnitude at Rest and Magnitude in Motion
polygon
supplementary angles
Being divided by a power of 10
19. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
2
Change / Original Formula?
prism
composite number
20. The largest integer that can be divided evenly into both the numerator and denominator.
Percent Change
Revenue ($) - Cost ($)
y-axis
Reducing by the Largest Common Factor (LCF)
21. A value that combines a whole number and a fractional amount
mixed number
Composite number
proper fraction
polygon
22. The numerator is greater than - or equal to - the denominator
median
improper fraction
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
factors of the multiplication operation
23. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
1
exactly the same portion
Zero multiplied by any value
Even
24. Indicates the number to be multiplied
mode
base
pi
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
25. The distance around a figure
roots of numbers
perimeter
vertex (vertices - plural)
before solving
26. A number with only two factors: the number itself and one.
Inserting a zero at the right end of a whole number
prime number
they have the same absolute value
62.5%
27. Profit = ?
exactly the same portion
equation
Revenue ($) - Cost ($)
( (Last - First) / Increment ) + 1
28. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
octagon
Multitude
Converting Improper Fractions to Mixed Numbers
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
29. A whole number can be expressed as an improper fraction by
putting that number over 1
denominator
Alternative to the algebraic manipulation method to solving a VIC
The sum of all the integers from 20 to 100 - inclusive
30. A line segment that passes through the center of a circle and has its endpoints on the circle
Axiom VIII.
diameter
Wage Rate ($ per hr) x Hrs worked
Inequality
31. Always try to Factor a quadratic equation
There are two parts in the procedure for subtracting signed integers:
octagon
before solving
integer or whole number
32. Factors may be multiplied in any order.
greatest common factor (GCF)
Even
commutative law of multiplication
Reducing fractions
33. The number being multiplied is called the
multiplicand
obtuse angle
Zero multiplied by any value
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
34. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
The concept of trading decimal places and how it works
Unit Cost + Markup
parallelogram
percent
35. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
A minus sign ( - ) is used for two entirely different purposes:
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.
Decimals/Percents
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
36. Reversed position or direction
inverse
rhombus
absolute value
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
37. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
The Ratio of Any two of the following: Original - Change and New
y-axis
the Complement of that part to the whole
proper fractions
38. A polygon that has four sides
When to use the Heavy Division Shortcut - and how to do it
prime number
quadrilateral
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
39. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
Inserting a zero at the left end of a whole number
Equal
Step 1 of Converting mixed numbers to improper fractions
40. Any number with an exponent of 0
cylinder
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
equal to 1
whether the addends have the same sign or opposite signs
41. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
To make sure to solve for Both cases.
unit ratio
Whole Numbers
42. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
quotient
Zero multiplied by any value
supplementary angles
More
43. The smallest multiple that two or more numbers have in common
ratio
least common multiple (LCM)
Subtracting Signed Integers
Shift DP 2 places right
44. A polygon that has four sides.
quadrilateral
Carry the 10's digit of the product to the top of the 10's column of factors.
Terminating decimal
Known quantities
45. What is the perimeter of a Polygon?
rectangle
Homogenous or Heterogenous
Evaluating Powers With Negative Exponents
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
46. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
common denominator
supplementary angles
difference
Inserting a zero at the right end of a whole number
47. A number that is a factor of two or more numbers.
mixed number
mixed number
To square an equation to solve it
common factor
48. Total Sales or Revenue = ?
Arithmetic - Music - Geometry and Astronomy
roots of numbers
quadrilateral
Unit Price x Qty. Sold
49. All whole numbers (both positive and negative) and zero.
Axiom VII.
unit ratio
integers
simplify
50. Every number is contained in itself once.
Axiom VII.
cubed
change the operation from subtraction to addition
Non-Int