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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 ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
base
axiom
always clear the innermost groups first

2. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
polygon
cross product
simplify
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

3. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Sum of Interior Angles of a Polygon: (n - 2) x 180
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Unit Price x Qty. Sold
Number Systems

4. 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.
Negative-value integers
product
vertex (vertices - plural)
simplify

5. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
pentagon
higher terms
The bottom side of the triangle
Odd

6. Adding integers that have the same sign means
mixed number
cross product
hexagon
both integers are positive or both are negative

7. The method for indicating the power of a number
Power notation
perimeter
Some integer/Some Power of 10
Parts

8. A number is increased by 25%... what must you reduce the new number by to get the old number again?
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
divisor
prism
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

9. A quadrilateral with two pairs of congruent - parallel sides.
parallelogram
one is positive and the other is negative
Equality
expression

10. A quadrilateral with two pairs of congruent - parallel sides
lowest terms
Axiom I.
Non-Int
parallelogram

11. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
radius
To make sure to solve for Both cases.
Step 2 of Converting Improper Fractions to Mixed Numbers
farther to the left on the number line

12. A polygon with six sides.
Magnitude
unit ratio
hexagon
reflection

13. Having the same value
prime factorization
equivalent
improper fraction
equilateral triangle

14. Odd / Even = ? e.g. 9/6 = 1.5
Inequality
Non-Int
Line Segments
The Decimal Numbering System

15. The figure formed when two rays meet at a common endpoint called a vertex.
circumference
expression
Converting mixed numbers to improper fractions.
angle

16. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
sum
absolute value
circumference
reflection

17. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
referred to Unity in the same way
Multitude
rate

18. The whole is equal to all of its parts taken together.
rectangle
Axiom IV.
Axiom V.
vertex (vertices - plural)

19. Odd x ? = Even
unit ratio
The rule for adding negative integers is the same as the rule for adding positive integers:
Inserting a zero at the right end of a whole number
Even

20. 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?
'six cubed'
quotient
Different Units

21. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Inserting a zero at the left end of a whole number
Change + - Original = New
Negative-value integers
Sale Price - Unit Cost

22. The result of multiplying two or more numbers.
product
When to use the Heavy Division Shortcut - and how to do it
mean
Odd

23. In a division problem - the number that an amount is divided by
Unity - or a Unit
divisor
One... the number 2
putting that number over 1

24. One of those primes must be the number __ ?
Adding negative integers will always produce a negative sum
A sum of 2 primes is Odd
before solving
multiplier

25. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Converting Improper Fractions to Mixed Numbers
cylinder
composite number
order of operations

26. The whole-number part of the mixed number is the whole-number part of the
Odd
quotient
( (Last - First) / Increment ) + 1
Fractions allow you to plot values between whole numbers and integers.

27. What is the formula forCounting consecutive multiples?
1 - (y/100)
( (Last - First) / Increment ) + 1
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
improper fraction

28. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
Inserting a zero at the right end of a whole number
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
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
parallelogram

29. An evenly-spaced set is fully-defined if what is known...?
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
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Whole Numbers
Unit Cost + Markup

30. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
dividing the numerator and denominator by the same number
circumference
Fractions allow you to plot values between whole numbers and integers.
To add integers that have opposite signs:

31. Are those things collected in a whole.
mixed fractions
Axiom IX.
Parts
improper fraction

32. An angle measuring more than zero degrees and less than 90 degrees
acute angle
To convert any fraction to higher terms
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Number Systems

33. An eight-sided polygon
absolute value
y-axis
Absolute and Relative
octagon

34. Two angles whose sum is 180 degrees
farther to the right on the number line.
rectangle
Aliquot and Aliquant Parts
supplementary angles

35. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
radius
referred to the same Unit
lowest terms
lowest terms

36. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
Odd
When the addends have the same sign both + or both -
Composite number
area

37. A number that is a factor of two or more numbers.
Both
common factor
Non-Int
they have the same absolute value

38. By the last letters (u - x - y - etc.)
octagon
Known quantities
Odd
Non-Int

39. Total Sales or Revenue = ?
Unit Price x Qty. Sold
scalene triangle
octagon
median

40. A known quantity we refer to as One.
Unity - or a Unit
x-axis
Reducing: The Brute-Force Method
Original + Change = New Change/Original = Percent Change

41. A triangle with one right angle
cross product
Odd
right triangle
Aliquot Part

42. The total of two or more numbers being added
exponent
congruent
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.
sum

43. Sale Price = ?
Magnitude at Rest and Magnitude in Motion
x/100
Unit Cost + Markup
enclosing the numbers in a pair of vertical lines | |

44. 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.
equivalent
from left to right
the Complement of that part to the whole
Even

45. The smallest multiple that two or more numbers have in common
Magnitude
Reducing by the Largest Common Factor (LCF)
least common multiple (LCM)
Is zero

46. Total Earnings ($) = ?
Fractions allow you to plot values between whole numbers and integers.
divisor
Wage Rate ($ per hr) x Hrs worked
Multitude

47. The lower number in a fraction is the
To add integers that have the same sign both positive or both negative:
denominator
square root
Even

48. Can have many different combinations of factors
Composite number
Odd or Non-Int
rate
prime number

49. Surface space that is measured in square units
Mathematics
area
multiplier
When to use fractions

50. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
composite number
median
The height of a triangle
Is equal to the original value