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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 amount that remains after one number has been subtracted from another
cylinder
Odd
cross product
difference

2. 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
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
multiplier
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.
difference

3. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
1 - (y/100)
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
prism
When numbers do not divide evenly

4. The horizontal number line of a coordinate graph
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
x-axis
enclosing the numbers in a pair of vertical lines | |
congruent

5. 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
Decreases
scalene triangle
Magnitude at Rest and Magnitude in Motion

6. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
theorem
Even
To add integers that have the same sign both positive or both negative:
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

7. Quantities which are both equal to one and the same third are equal to one another.
2
Axiom III.
A sum of 2 primes is Odd
radius

8. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 2 of Converting mixed numbers to improper fractions
To find out - easily - if one fraction is bigger than another
referred to Unity in the same way
enclosing the numbers in a pair of vertical lines | |

9. Profit = ?
Equal
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?
mixed number
Revenue ($) - Cost ($)

10. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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11. An angle that measures 90 degrees
lowest terms
improper fractions
Wage Rate ($ per hr) x Hrs worked
right angle

12. The action of the mind whereby a quantity is measured by Unity or a Unit.
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
Sale Price - Unit Cost
1
Computation

13. 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.
equivalent
theorem
Long Division
Unknown quantities

14. Always try to Factor a quadratic equation
Composite number
Even
combination of addition and subtraction
before solving

15. What is the formula forCounting consecutive integers?
(Last - First + 1)
Change + - Original = New
proportion
Even

16. The vertical number line of a coordinate graph
lowest terms
Subtracting Signed Integers
y-axis
Negative-value integers

17. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Even and Odd
inverse operations
2 and/or 5 only

18. An equation stating that two ratios are equal
Being divided by a power of 10
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
proportion
prism

19. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
Reducing fractions
Greater
lowercase Variables
Even - Odd or Non-Int

20. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
multiplicand
To add integers that have the same sign (both positive or both negative):
equal to 1 divided by that number with a positive exponent
simplify

21. Having the same value
Even
Wage Rate ($ per hr) x Hrs worked
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.
equivalent

22. An angle measuing more than 0 degrees and less than 90 degrees
acute angle
'five squared'
62.5%
mixed fractions

23. Species and Number may be
Equality
quotient
Is zero
Homogenous or Heterogenous

24. The result of the division called the
Number Systems
equilateral triangle
quotient
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

25. TotalCost($) = ?

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26. Is ZERO positive or negative - both - or none?
integers
Both
'six cubed'
Negative-value integers

27. Is the agreement of things in Quanity.
Mathematics
Equality
Reducing: The Brute-Force Method
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.

28. The vertical number line of a coordinate graph
y-axis
Odd
Any value multiplied by one
radius

29. Indicates the number to be multiplied
Sale Price - Unit Cost
base
Homogenous or Heterogenous
Odd or Non-Int

30. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Multitude
Original + Change = New Change/Original = Percent Change
median
squared

31. The result of dividing one number by another; the solution to a division problem
quotient
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
straight angle
from left to right

32. The base of a triangle refers to?
percent
the Complement of that part to the whole
The bottom side of the triangle
parallelogram

33. Change/Original = New
Percent Change
Number
Unknown quantities
Even

34. Profit = ?
Revenue ($) - Cost ($)
lowercase Variables
Composite number
multiplicand

35. A ratio that shows the cost per unit of measure
2 and/or 5 only
Zero multiplied by any value
When you are absolutely sure the variable or expression <> 0
unit ratio

36. What are the 3 main formulaic properties of evenly-spaced sets?
Even - Odd or Non-Int
diameter
1
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

37. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
prism
numerator
Proof
Equality

38. The whole-number part of the mixed number is the whole-number part of the
sum
referred to the same Unit
Step 1 of Converting Improper Fractions to Mixed Numbers
quotient

39. Two angles whose sum equals 90 degrees.
rectangle
straight angle
complementary angles
inverse

40. The process of breaking a number down into its factors is called
Multitude
The Ratio of Any two of the following: Original - Change and New
percent
factoring

41. What is the perimeter of a Polygon?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
numerator
simplify
Being divided by a power of 10

42. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
range
area
To square an equation to solve it
quadrilateral

43. In order to understand and use exponents that are fractions or decimals - you must first know about
prime factors
lowercase letters
roots of numbers
proper fraction

44. The number to be multiplied by is called the
When you are absolutely sure the variable or expression <> 0
multiplier
Even div. by 4
Known quantities

45. Species are distinguished into
Known (Given) and Unknown (Sought)
Long Division
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
whether the addends have the same sign or opposite signs

46. The Sum of n consecutive integers is divisible by n if n is
Unit Cost + Markup
commutative law of multiplication
Evaluating Powers With Negative Exponents
Odd

47. 3 ways to solve an absolute value inequality
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
pentagon
Axiom VII.
simplify

48. A line segment that passes through the center of a circle and has its endpoints on the circle
least common multiple (LCM)
diameter
Is zero
area

49. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed intege
octagon
the Complement of that part to the whole
2^3 = 8
There are two parts in the procedure for subtracting signed integers:

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.
Axiom I.
proper fraction
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.
x-coordinate