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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. A value such as 5^2 can be called

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2. What are the properties of the diagonals of a Rhombus?
Unknown quantities
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Unit Cost + Markup

3. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
the same point on the number line
x = (+-) a
multiplicand
median

4. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Inequality
Wage Rate ($ per hr) x Hrs worked
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Always completed first

5. A known quantity we refer to as One.
product
Unity - or a Unit
when there are explicit or implicit equations in the problem:
integer or whole number

6. The result of dividing one number by another; the solution to a division problem
Inserting a zero at the right end of a whole number
hexagon
x-axis
quotient

7. 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
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Odd or Non-Int
How the Last Digit Shortcut works
prime number

8. Cross-multiply
area
UnitPrice ($/unit) x Qty.Purchas'd (units)
mixed number
To find out - easily - if one fraction is bigger than another

9. 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.
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?
before solving
rate
UnitPrice ($/unit) x Qty.Purchas'd (units)

10. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Absolute and Relative
diameter
Relative multitude
Different Units

11. Any number with an exponent of 0
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
equal to 1
To add integers that have opposite signs:
putting that number over 1

12. What are the rules for picking numbers in VICS?
they have the same absolute value
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
cubed
To square an equation to solve it

13. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
Revenue ($) - Cost ($)
dividend
'five squared'

14. A sign of grouping can be omitted when it
contains only a single number
polygon
y-axis
Is equal to the original value

15. Everything may be assumed as unity.
Axiom I.
radius
sum
The sum of all the integers from 20 to 100 - inclusive

16. The terms Species and Number
Unit Price x Qty. Sold
Quantity is expressed
Magnitude at Rest and Magnitude in Motion
Wage Rate ($ per hr) x Hrs worked

17. 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.
lowest terms
equal to itself.
composite number
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

18. A number with an exponent of 3 is often said to be
mixed number
ratio
cubed
Computation

19. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
( (Last - First) / Increment ) + 1
reduced fraction
Magnitude
Terminating decimal

20. What is the increment of a set of consecutive integers?
1
Unit Price x Qty. Sold
combination of addition and subtraction
lowercase Variables

21. Anything that may be increased or diminished
inverse
Equality
Quantity
hexagon

22. Having the same size and shape
prime number
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?
congruent
More

23. 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.
one is positive and the other is negative
pyramid
There are two parts in the procedure for subtracting signed integers:
Long Division

24. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
both integers are positive or both are negative
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?
To add integers that have opposite signs:
To make sure to solve for Both cases.

25. The two kinds of Quantity are
prime factors
range
Revenue ($) - Cost ($)
Multitudes and Magnitudes

26. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
Adding negative integers will always produce a negative sum
Unity - or a Unit
Species
divisor

27. The number to be multiplied by is called the
To add integers that have the same sign (both positive or both negative):
referred to the same Unit
multiplier
Axiom VI.

28. If 2 numbers are OPPOSITES of each other
they have the same absolute value
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
polygon
Sum of Interior Angles of a Polygon: (n - 2) x 180

29. Total Sales or Revenue = ?
area
proper fraction
Unit Price x Qty. Sold
A = (Base x Height) / 2 - A = (BH)/2

30. The exact procedure for adding signed integers depends upon
proper fraction
Reducing by the Largest Common Factor (LCF)
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
whether the addends have the same sign or opposite signs

31. When the factors of a number are all prime numbers - the factors are said to be the
proper fraction
Any value multiplied by one
prime factors
Composite number

32. The numerator is smaller than the denominator
1
Number Systems
proper fraction
Original x (1 - x/100) = New

33. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
quadrant
Non-Int
difference
Even

34. A polygon with six sides.
lowercase letters
hexagon
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
putting that number over 1

35. A quadrilateral with two pairs of congruent - parallel sides
Is zero
parallelogram
Proof
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

36. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
product
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
both integers are positive or both are negative

37. An equation stating that two ratios are equal
proportion
Increases the value.
pi
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

38. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
Reducing fractions
similar figures
Decreases
octagon

39. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
There are two parts in the procedure for subtracting signed integers:
To make sure to solve for Both cases.
When to use fractions
To add integers that have opposite signs:

40. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
improper fraction
equilateral triangle
complementary angles
mode

41. The vertical number line of a coordinate graph
Axiom VII.
y-axis
the Complement of that part to the whole
mode

42. 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
y-axis
hexagon
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

43. Multiply both the numerator and denominator by the same integer value.
circumference
To convert any fraction to higher terms
ratio
prime number

44. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Reducing: The Brute-Force Method
Converting Improper Fractions to Mixed Numbers
axiom
product

45. Species are distinguished into
referred to the same Unit
Known (Given) and Unknown (Sought)
x-coordinate
unit ratio

46. The lower number in a fraction is the
cross product
Revenue ($) - Cost ($)
Axiom VI.
denominator

47. Any value divided by one
More
'five squared'
Is equal to the original value
scalene triangle

48. The whole-number part of the mixed number is the whole-number part of the
quotient
radius
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
Multitudes and Magnitudes

49. Factors may be multiplied in any order.
Change + - Original = New
Odd
commutative law of multiplication
quadrilateral

50. What is the formula forCounting consecutive integers?
(Last - First + 1)
The rule for adding negative integers is the same as the rule for adding positive integers:
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)