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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 number being multiplied is called the
5/8
referred to the same Unit
squared
multiplicand

2. When are you allowed to divide by a variable - (or Any expression) ?
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
common factor
Unit Cost + Markup
When you are absolutely sure the variable or expression <> 0

3. Everything may be assumed as unity.
Axiom I.
congruent
Step 1 of Converting Improper Fractions to Mixed Numbers
ratio

4. What are the 3 main formulaic properties of evenly-spaced sets?
improper fraction
the denominator of the original improper fraction
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
Unknown quantities

5. Adding integers that have the same sign means
prime number
both integers are positive or both are negative
improper fractions
right triangle

6. Having the same size and shape
congruent
lowest terms
Whole
To add integers that have opposite signs:

7. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
similar figures
Proof
the denominator of the original improper fraction
pyramid

8. A Polygon is a closed shape formed by
'six cubed'
parallelogram
A sum of 2 primes is Odd
Line Segments

9. Includes an integer as well as a fractional part
Number Systems
quadrilateral
mixed number
mixed fractions

10. Change/Original = New
Percent Change
reduced fraction
Wage Rate ($ per hr) x Hrs worked
diameter

11. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
Axiom X.
There are two parts in the procedure for subtracting signed integers:
The concept of trading decimal places and how it works
A sum of 2 primes is Odd

12. 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
right triangle
inverse
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.
Axiom VI.

13. What is the formula forCounting consecutive multiples?
Long Division
product
Reducing: The Brute-Force Method
( (Last - First) / Increment ) + 1

14. The result of the division called the
Decreases
'five squared'
quotient
Axiom II.

15. An angle measuing more than 0 degrees and less than 90 degrees
rectangle
acute angle
composite number
dividend

16. Total Earnings ($) = ?
Equal
common denominator
Odd
Wage Rate ($ per hr) x Hrs worked

17. Surface space that is measured in square units.
area
change the operation from subtraction to addition
composite number
improper fractions

18. A combination of numbers and variables connected by one or more operations signs
expression
Sum of Interior Angles of a Polygon: (n - 2) x 180
trapezoid
similar figures

19. What are the 2 'percent change' equations?
farther to the left on the number line
Original + Change = New Change/Original = Percent Change
complementary angle
product

20. 5/8 --> Decimal ?
prime number
0.625
obtuse angle
A minus sign ( - ) is used for two entirely different purposes:

21. 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.
integers
prime number
Whole
composite number

22. The base of a triangle refers to?
Sale Price - Unit Cost
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
The bottom side of the triangle
When to use the Heavy Division Shortcut - and how to do it

23. What is the perimeter of a Polygon?
both integers are positive or both are negative
Aliquant Part
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

24. Any whole number can be expressed in terms of the
product
Even or Non-Int
quotient
x-axis

25. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
Axiom IX.
Revenue ($) - Cost ($)
Carry the 10's digit of the product to the top of the 10's column of factors.
the Complement of that part to the whole

26. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
mixed fractions
improper fractions
Aliquot and Aliquant Parts
Is zero

27. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
integer or whole number
A = (Diagonal1 x Diagonal2) / 2
Negative-value integers
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

28. Two numbers are said to be equal (=) when they are at
Axiom X.
Arithmetic - Music - Geometry and Astronomy
Reducing fractions
the same point on the number line

29. Is ZERO positive or negative - both - or none?
Wage Rate ($ per hr) x Hrs worked
Sale Price - Unit Cost
supplementary angles
Both

30. A number that when multiplied by itself results in the original number
( (Last - First) / Increment ) + 1
square root
perimeter
like fractions

31. The two kinds of Multitude
Absolute and Relative
The rule for adding negative integers is the same as the rule for adding positive integers:
prime number
1 and itself

32. Odd / Even = ? e.g. 9/6 = 1.5
Non-Int
inverse
rectangle
complementary angles

33. 1 to any power is equal to
scalene triangle
percent
Odd
1

34. 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.
Relative multitude
2 and/or 5 only
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 make sure to solve for Both cases.

35. The ratio of a number to 100 (per one hundred); the symbol %
2^3 = 8
Quantity
When to use the Heavy Division Shortcut - and how to do it
percent

36. Are those things collected in a whole.
Axiom VIII.
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Subtracting Signed Integers
Parts

37. The horizontal number line of a coordinate graph
acute angle
proper fractions
x-axis
To add integers that have opposite signs:

38. What are the only prime factors that a fraction resulting in a terminating decimals have?
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
2 and/or 5 only
Revenue ($) - Cost ($)
1

39. Any number with a negative exponent
Negative-value integers
Unknown quantities
exponent
equal to 1 divided by that number with a positive exponent

40. Change + - Original = New
order of operations
difference
proportion
Change / Original Formula?

41. Rules that tell which steps to follow when solving an expression
order of operations
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
Adding negative integers will always produce a negative sum
Reducing fractions

42. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
product
product
composite number
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

43. Method: convert Decimal to Percent?
Shift DP 2 places right
range
right triangle
integer values

44. Two angles whose sum equals 90 degrees.
probability
hexagon
squared
complementary angles

45. 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
range
Aliquot Part
pyramid

46. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Step 1 of Converting Improper Fractions to Mixed Numbers
product
To square an equation to solve it

47. A number with an exponent of 3 is often said to be
equivalent
cubed
To convert any fraction to higher terms
scale drawing

48. If 2 numbers are OPPOSITES of each other
they have the same absolute value
Odd
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
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

49. Basic Number Properties and elementary operations.
Number Systems
Any value multiplied by one
rate
divisor

50. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Step 2 of Converting Improper Fractions to Mixed Numbers
( (Last - First) / Increment ) + 1
Relative multitude
equivalent