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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. Any value divided by one
lowercase letters
Is equal to the original value
axiom
whether the addends have the same sign or opposite signs

2. A value that combines a whole number and a fractional amount
Change + - Original = New
To add integers that have the same sign both positive or both negative:
mixed number
scalene triangle

3. 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?
axiom
Positive-value integers
Known (Given) and Unknown (Sought)

4. The base of a triangle refers to?
Terminating decimal
The bottom side of the triangle
right triangle
inverse

5. For there to be X unique factors of X - what must be true?
0
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
angle
Every integer between 1 and X - inclusive - must be a factor of X

6. Every quantity is equal to itself.
composite number
theorem
unit ratio
Axiom II.

7. Original x (1 - x/100) = New
Reducing: The Brute-Force Method
polygon
Percent Decrease Formula
The height of a triangle

8. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

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9. In a group of values - the value that occurs most often
one is positive and the other is negative
right angle
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
mode

10. The method for indicating the power of a number
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
Power notation
2
Even

11. A mathematical sentence that uses an equal sign
complementary angles
Magnitude
Inserting a zero at the right end of a whole number
equation

12. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Odd
integer or whole number
Aliquant Part
quadrilateral

13. A known quantity we refer to as One.
ratio
expression
parallel lines
Unity - or a Unit

14. 3/2 - 8/3 - -16/5 - 7/7
theorem
improper fractions
The sum of all the integers from 20 to 100 - inclusive
Whole Numbers

15. A whole number that has only one set of factors - itself and 1.
prime number
polygon
Homogenous or Heterogenous
mixed number

16. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Decimals/Percents
Original x (1 - x/100) = New
right triangle
polygon

17. An angle measuring more than 90 degrees and less than 180 degrees
obtuse angle
reciprocal
Parts
unit ratio

18. Adding integers that have opposite signs means
one is positive and the other is negative
parallelogram
improper fractions
divisor

19. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
polygon
62.5%
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
Step 1 of Converting Improper Fractions to Mixed Numbers

20. A number that is not a prime number is called a
square root
Inserting a zero at the right end of a whole number
composite number
A sum of 2 primes is Odd

21. In order to understand and use exponents that are fractions or decimals - you must first know about
Odd
roots of numbers
mixed fractions
inverse

22. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
More
(Last - First + 1)
Carry the 10's digit of the product to the top of the 10's column of factors.

23. TotalCost($) = ?

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24. The horizontal number line of a coordinate graph
diameter
range
Mathematics
x-axis

25. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
both integers are positive or both are negative
ratio
Odd
Reducing: The Brute-Force Method

26. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Is zero
reciprocal
Number
Number Systems

27. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
x = (+-) a
Unit Cost + Markup
complementary angle
Odd

28. A number with an exponent of 2 is often said to be
proportion
squared
Wage Rate ($ per hr) x Hrs worked
The rule for adding negative integers is the same as the rule for adding positive integers:

29. A collection of things taken as a Unity. A bushel of wheat is a whole.
Whole
equation
0.625
Absolute and Relative

30. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
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
quotient
Decreases

31. 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?
Zero (0)
Line Segments
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.
5/8

32. Change / Original Formula
squared
Change + - Original = New
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
quadrant

33. A solid figure with two congruent and parallel circular bases
cylinder
equal to 1 divided by that number with a positive exponent
Any value multiplied by one
dividing the numerator and denominator by the same number

34. A polygon that has four sides
The Ratio of Any two of the following: Original - Change and New
quadrilateral
One... the number 2
difference

35. 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
Inserting a zero at the right end of a whole number
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.
The bottom side of the triangle
To convert any fraction to higher terms

36. By the last letters (u - x - y - etc.)
To add integers that have opposite signs:
Known quantities
acute angle
When to use fractions

37. The whole-number system uses only ten characters -0 through 9.
equation
A = (D1 x D2) / 2
Reducing fractions
The Decimal Numbering System

38. The difference between the least and greatest values in a set of numbers.
improper fraction
equilateral triangle
range
unit ratio

39. The ratio of a number to 100 (per one hundred). The symbol %
Converting mixed numbers to improper fractions.
supplementary angles
ratio
percent

40. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
When you are absolutely sure the variable or expression <> 0
integer or whole number
Number
Reducing: The Brute-Force Method

41. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
rhombus
Odd or Non-Int
right angle
To add integers that have opposite signs:

42. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Non-Int
equivalent
higher terms
The rule for adding negative integers is the same as the rule for adding positive integers:

43. Is the disagreement of things in Quantity.
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.
Inequality
ordered pair
5/8

44. The figure formed when two rays meet at a common endpoint called a vertex.
angle
Always completed first
probability
y-axis

45. The number being divided is called the
vertex (vertices - plural)
Revenue ($) - Cost ($)
dividend
square root

46. Adding integers that have the same sign means
Even or Non-Int
prime number
Unit Price x Qty. Sold
both integers are positive or both are negative

47. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
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
To square an equation to solve it
equal to 1 divided by that number with a positive exponent

48. Basic Number Properties and elementary operations.
Number Systems
scale drawing
Negative-value integers
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

49. 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
dividend
multiplicand
lowercase letters
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

50. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
5/8
prime factorization
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Zero (0)