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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. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Step 2 of Converting Improper Fractions to Mixed Numbers
Quantity
divisor
x-coordinate

2. A fraction with a numerator that is larger than or equal to its denominator.
Parts
greatest common factor (GCF)
improper fraction
Revenue ($) - Cost ($)

3. Two numbers are said to be equal (=) when they are at
Reducing: The Brute-Force Method
the same point on the number line
To add integers that have opposite signs:
Wage Rate ($ per hr) x Hrs worked

4. A quadrilateral with two pairs of congruent - parallel sides
Axiom III.
parallelogram
pyramid
Negative-value integers

5. 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):
exactly the same portion
mean
Known (Given) and Unknown (Sought)

6. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Axiom VIII.
straight angle
'six cubed'
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

7. A number that is a multiple of all denominators in a problem.
common denominator
circumference
cross product
Original + Change = New Change/Original = Percent Change

8. Is equal to the original value. a x 1 = 1
Wage Rate ($ per hr) x Hrs worked
Any value multiplied by one
denominator
Whole

9. Zero divided by any whole number (except 0)
A = (Base x Height) / 2 - A = (BH)/2
Is zero
sum
similar figures

10. A number with an exponent of 3 is often said to be
exponent
cubed
improper fraction
Unity - or a Unit

11. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
trapezoid
supplementary angles
integer or whole number
range

12. 1 to any power is equal to
quotient
The height of a triangle
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
1

13. What's the reciprocal of v6 - and why?
Percent Change
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
Even - Odd or Non-Int
Fractions allow you to plot values between whole numbers and integers.

14. A ratio that shows the cost per unit of measure
product
unit ratio
area
denominator

15. A parallelogram with four right angles
cubed
mixed number
rectangle
lowest terms

16. The result of dividing one number by another; the solution to a division problem
divisor
Number Systems
quotient
A minus sign ( - ) is used for two entirely different purposes:

17. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
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
they have the same absolute value
median
right triangle

18. An angle measuring more than zero degrees and less than 90 degrees
mixed number
Number
When the addends have opposite signs one is + and the other is -
acute angle

19. A collection of things taken as a Unity. A bushel of wheat is a whole.
dividing the numerator and denominator by the same number
Long Division
Whole
area

20. A number that tells how many times the base is multiplied by itself
Mathematics
To add integers that have the same sign (both positive or both negative):
exponent
Species

21. 1/2 - 1/3 - 2/3 - -5/8
quadrilateral
proper fractions
range
Odd

22. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Shift DP 2 places left
Odd
Unknown quantities
Some integer/Some Power of 10

23. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
similar figures
A minus sign ( - ) is used for two entirely different purposes:
diameter
putting that number over 1

24. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
hexagon
dividend
radius
when there are explicit or implicit equations in the problem:

25. A polygon with six sides.
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
combination of addition and subtraction
hexagon
The Decimal Numbering System

26. In a division problem - it's the number being divided
reciprocal
dividend
pentagon
How the Last Digit Shortcut works

27. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
reciprocal
Reducing fractions
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Power notation

28. The two kinds of parts
The height of a triangle
equal to 1 divided by that number with a positive exponent
Aliquot and Aliquant Parts
sum

29. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Positive-value integers
quotient
proportion
isosceles triangle

30. Unit Profit = ?
Sale Price - Unit Cost
x-coordinate
rhombus
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

31. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
octagon
Both

32. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Sum of Interior Angles of a Polygon: (n - 2) x 180
To square an equation to solve it
Known (Given) and Unknown (Sought)
Number Systems

33. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Even - Odd or Non-Int
Axiom VII.
greatest common factor (GCF)
Axiom II.

34. Rules that tell which steps to follow when solving an expression.
rectangle
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
ratio
order of operations

35. What are the 2 'percent change' equations?
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Original + Change = New Change/Original = Percent Change
quadrant
supplementary angles

36. Sale Price = ?
base
Unit Cost + Markup
integer or whole number
denominator

37. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
order of operations
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
x-axis

38. Whole is equal in Multitude to a Part of the other.
rectangle
Equal
Multitudes and Magnitudes
Change / Original Formula?

39. Species and Number may be
Homogenous or Heterogenous
integers
mixed number
polygon

40. What is the formula forCounting consecutive multiples?
Species
Axiom V.
pi
( (Last - First) / Increment ) + 1

41. Any value divided by one
To convert any fraction to higher terms
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
Is equal to the original value
y-coordinate

42. Lines in the same plane that do not intersect. The symbol //
To add integers that have the same sign both positive or both negative:
Change / Original Formula?
mixed fraction
parallel lines

43. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
exponent
Subtracting Signed Integers
Whole
To add integers that have opposite signs:

44. Every quantity is equal to itself.
Axiom II.
product
Odd
square unit

45. The two kinds of Magnitude are
Magnitude at Rest and Magnitude in Motion
equal to 1
denominator
Even - Odd or Non-Int

46. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
scalene triangle
perimeter
Step 1 of Converting Improper Fractions to Mixed Numbers
axiom

47. 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.
one is positive and the other is negative
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
right triangle
vertex (vertices - plural)

48. Change/Original = New
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Equality
hexagon
Percent Change

49. In a division problem - the number that an amount is divided by
divisor
How the Last Digit Shortcut works
Computation
2^3 = 8

50. What are the properties of the diagonals of a Rhombus?
least common multiple (LCM)
mean
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
area