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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. Percent Decrease Formula ?
polygon
Original x (1 - x/100) = New
Equality
A plus sign (+) is used for two entirely different purposes:

2. A fraction with all common factors (other than 1) factored out of the numerator and denominator
mixed fraction
supplementary angles
lowest 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

3. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
5/8
Axiom VI.
Decimals/Percents
To add integers that have opposite signs:

4. The number being divided is called the
dividend
improper fraction
obtuse angle
0

5. A polygon that has four sides
hexagon
acute angle
quadrilateral
composite number

6. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
median
Number
proper fraction
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?

7. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
congruent
simplify
Is zero
improper fraction

8. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?

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9. Even X Even = ? ... and is div. by ?
Even div. by 4
percent
diameter
pyramid

10. The number to be multiplied by is called the
multiplier
putting that number over 1
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.
mode

11. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Positive-value integers
equal to 1
When the addends have the same sign both + or both -
Axiom IX.

12. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
isosceles triangle
probability
ratio
referred to the same Unit

13. A comparison of the two values of two numbers
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
product
UnitPrice ($/unit) x Qty.Purchas'd (units)
ratio

14. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
0
Adding negative integers will always produce a negative sum
A = (Base x Height) / 2 - A = (BH)/2
prime number

15. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
axiom
Equality
Sum of Interior Angles of a Polygon: (n - 2) x 180
When the addends have the same sign both + or both -

16. 5/8 --> Decimal ?
hexagon
0.625
Terminating decimal
area

17. A parallelogram with four right angles
least common multiple (LCM)
Whole Numbers
rectangle
quotient

18. The sum of a group of numbers divided by the number of numbers. Also known as the average.
mean
proportion
Converting Improper Fractions to Mixed Numbers
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

19. Zero divided by any whole number (except 0)
Is zero
product
Any value multiplied by one
numerator

20. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Even
Reducing: The Brute-Force Method
reduced fraction
Reducing by the Largest Common Factor (LCF)

21. The amount that remains after one number has been subtracted from another
exponent
The Decimal Numbering System
difference
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

22. When the product in the 1's column is greater than 9

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23. Total Earnings ($) = ?
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
hexagon
rectangle
Wage Rate ($ per hr) x Hrs worked

24. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
Parts
divisor
How the Last Digit Shortcut works
cubed

25. 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.
diameter
quotient
like fractions
x-coordinate

26. Profit = ?
improper fraction
Revenue ($) - Cost ($)
percent
Different Units

27. An equation stating that two ratios are equal
proportion
A = (Diagonal1 x Diagonal2) / 2
integer or whole number
integers

28. Reducing fractions is
When to use the Heavy Division Shortcut - and how to do it
Equality
factoring
dividing the numerator and denominator by the same number

29. The difference between the least and greatest values in a set of numbers.
Axiom I.
range
Unknown quantities
lowercase letters

30. All the positive whole numbers
integer values
whether the addends have the same sign or opposite signs
multiplicand
Axiom II.

31. Two numbers listed in a specific order; it describes a point on the coordinate graph
x/100
ordered pair
Step 1 of Converting Improper Fractions to Mixed Numbers
Unit Price x Qty. Sold

32. Any whole number can be expressed in terms of the
x-coordinate
1
5/8
product

33. A self-evident statement - that is - one that does not need to be demonstrated.
Even
y-coordinate
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
axiom

34. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
A plus sign (+) is used for two entirely different purposes:
Axiom VII.
polygon
octagon

35. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
Mathematics
To square an equation to solve it
denominator
equivalent

36. Lines in the same plane that do not intersect. The symbol //
isosceles triangle
least common multiple (LCM)
Mathematics
parallel lines

37. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
When numbers do not divide evenly
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.
Reducing fractions
'six cubed'

38. Always try to Factor a quadratic equation
before solving
Parts
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
product

39. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
rhombus
1 and itself
roots of numbers
radius

40. By the last letters (u - x - y - etc.)
Known quantities
Arithmetic - Music - Geometry and Astronomy
change the operation from subtraction to addition
2

41. An equation stating that two ratios are equal
Known quantities
proportion
Different Units
improper fraction

42. What are the only prime factors that a fraction resulting in a terminating decimals have?
roots of numbers
2 and/or 5 only
'five squared'
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

43. One number is said to be greater than (>) another when it is
obtuse angle
Zero (0)
farther to the right on the number line.
Decimals/Percents

44. The horizontal number line of a coordinate graph
One... the number 2
x-axis
When the addends have the same sign both + or both -
Known quantities

45. A collection of things taken as a Unity. A bushel of wheat is a whole.
Whole
right triangle
referred to Unity in the same way
improper fraction

46. Change / Original Formula
The bottom side of the triangle
Change + - Original = New
pi
denominator

47. The distance around a circle (the perimeter of a circle)
2
circumference
probability
1 - (y/100)

48. A quadrilateral with two pairs of congruent - parallel sides.
mixed fraction
x-axis
parallelogram
1 - (y/100)

49. One of the four regions formed by the intersection of the axes of a coordinate graph
One... the number 2
quadrant
right triangle
5/8

50. Two angles whose sum equals 90 degrees
complementary angle
pentagon
Line Segments
One... the number 2