Test your basic knowledge |

CLEP General Mathematics: Arithmetic Basics

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. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
(Last - First + 1)
multiplicand
parallelogram
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?

2. Things are Equal in Magnitude when they are
Aliquot and Aliquant Parts
proportion
referred to the same Unit
Converting Improper Fractions to Mixed Numbers

3. Where do fractions occur on a number line?
Axiom VI.
Even
Fractions allow you to plot values between whole numbers and integers.
from left to right

4. Why are Even Exponents dangerous?
Reducing: The Brute-Force Method
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
trapezoid
Number

5. Profit = ?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
Revenue ($) - Cost ($)
vertex (vertices - plural)

6. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
To add integers that have the same sign both positive or both negative:
Revenue ($) - Cost ($)
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

7. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
The rule for adding negative integers is the same as the rule for adding positive integers:
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
numerator
parallelogram

8. All the positive whole numbers
integer values
equal to 1
complementary angles
y-axis

9. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign both positive or both negative:
pentagon
numerator
Species

10. Factors may be multiplied in any order.
denominator
Wage Rate ($ per hr) x Hrs worked
commutative law of multiplication
ratio

11. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
reflection
x-axis
Adding negative integers will always produce a negative sum
rectangle

12. The result of muliplying two or more numbers
product
When the addends have the same sign both + or both -
The sum of all the integers from 20 to 100 - inclusive
To add integers that have opposite signs:

13. The upper number in a fraction is the
numerator
A = (Diagonal1 x Diagonal2) / 2
There are two parts in the procedure for subtracting signed integers:
Axiom II.

14. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
circumference
dividing the numerator and denominator by the same number
Different Units
Decreases

15. In a division problem - the number that an amount is divided by
divisor
squared
ordered pair
One... the number 2

16. A quadrilateral with one pair of parallel sides
lowest terms
change the operation from subtraction to addition
trapezoid
quotient

17. The whole-number system uses only ten characters -0 through 9.
dividing the numerator and denominator by the same number
Non-Int
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
The Decimal Numbering System

18. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
One... the number 2
Is zero
factor
isosceles triangle

19. A number that is not a prime number is called a
lowest terms
scalene triangle
range
composite number

20. Any number with an exponent of 0
equal to 1
vertex (vertices - plural)
Aliquot Part
base

21. A number that when multiplied by itself results in the original number
y-coordinate
Being divided by a power of 10
Odd or Non-Int
square root

22. Species are distinguished into
fraction or broken number
putting that number over 1
quotient
Known (Given) and Unknown (Sought)

23. A number that is a multiple of all denominators in a problem.
common denominator
right triangle
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?
simplify

24. A parallelogram with all sides equal and congruent
quotient
proper fraction
To add integers that have the same sign (both positive or both negative):
rhombus

25. Species of Quantities are signified by
lowercase letters
exponent
similar figures
scale drawing

26. Species and Number may be
factor
probability
prism
Homogenous or Heterogenous

27. A ratio that shows the cost per unit of measure
equal to 1
the same point on the number line
unit ratio
pyramid

28. A number that is a factor of two or more numbers.
Unit Price x Qty. Sold
common factor
factor
equal to 1

29. What is the formula for: The Area of a Triangle ?
A = (Base x Height) / 2 - A = (BH)/2
least common multiple (LCM)
'six cubed'
Axiom X.

30. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Even or Non-Int
y-coordinate
range
Multitude

31. Rules that tell which steps to follow when solving an expression.
Every integer between 1 and X - inclusive - must be a factor of X
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
scalene triangle
order of operations

32. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
expression
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
absolute value
change the operation from subtraction to addition

33. The two kinds of Magnitude are
rectangle
Fractions allow you to plot values between whole numbers and integers.
Magnitude at Rest and Magnitude in Motion
Axiom VIII.

34. A number that tells how many times the base is multiplied by itself
A sum of 2 primes is Odd
exponent
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Even

35. What are the 3 main formulaic properties of evenly-spaced sets?
Line Segments
Terminating decimal
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
least common multiple (LCM)

36. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
Whole Numbers
Axiom II.
Being divided by a power of 10
median

37. Anything that may be increased or diminished
rectangle
lowercase letters
Quantity
Inserting a zero at the left end of a whole number

38. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
reflection
integer or whole number
Step 2 of Converting Improper Fractions to Mixed Numbers
Quantity

39. The ratio of a number to 100 (per one hundred). The symbol %
More
percent
proportion
To add integers that have opposite signs:

40. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Odd
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Arithmetic - Music - Geometry and Astronomy
vertex (vertices - plural)

41. Adding integers that have opposite signs means
unit ratio
prime number
acute angle
one is positive and the other is negative

42. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
perimeter
integers
roots of numbers
Decreases

43. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
divisor
Odd
x-coordinate
combination of addition and subtraction

44. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
The Decimal Numbering System
A sum of 2 primes is Odd
The sum of all the integers from 20 to 100 - inclusive
sum

45. In a group of values - the value that occurs most often
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
mode
Axiom VII.
Is zero

46. .625 --> Percent?
Odd
1 - (y/100)
62.5%
Sale Price - Unit Cost

47. Operations enclosed in a sign of grouping
0.625
When the addends have opposite signs one is + and the other is -
Always completed first
theorem

48. A fraction with all common factors (other than 1) factored out of the numerator and denominator
1 - (y/100)
To make sure to solve for Both cases.
lowest terms
When you are absolutely sure the variable or expression <> 0

49. Two angles whose sum equals 90 degrees
Even and Odd
complementary angle
Any value multiplied by one
equal to 1

50. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
greatest common factor (GCF)
Mathematics
x-coordinate
combination of addition and subtraction