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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. A unit for measuring area
acute angle
Proof
square unit
lowest terms

2. If 2 numbers are OPPOSITES of each other
x-axis
'five squared'
they have the same absolute value
Being divided by a power of 10

3. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
probability
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
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?
Is equal to the original value

4. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
percent
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
fraction or broken number
Evaluating Powers With Negative Exponents

5. A polygon that has four sides
quadrilateral
right triangle
Fractions allow you to plot values between whole numbers and integers.
proper fraction

6. Has no sign value
squared
Fractions allow you to plot values between whole numbers and integers.
simplify
Zero (0)

7. A ratio that compares two different types of quantities
rate
Axiom VI.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
'five squared'

8. A triangle that has three equal sides and three equal angles
equilateral triangle
congruent
Axiom VII.
denominator

9. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
mean
multiplier
Unknown quantities

10. 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.
the Complement of that part to the whole
x = (+-) a
Equality
A plus sign (+) is used for two entirely different purposes:

11. What is the perimeter of a Polygon?
rectangle
quadrant
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
least common multiple (LCM)

12. In order to understand and use exponents that are fractions or decimals - you must first know about
inverse operations
equivalent
Quantity
roots of numbers

13. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
factoring
prime factors
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
improper fraction

14. Surface space that is measured in square units
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Even and Odd
Evaluating Powers With Negative Exponents
area

15. Rules that tell which steps to follow when solving an expression.
Axiom X.
Decimals/Percents
To make sure to solve for Both cases.
order of operations

16. The absolute value of the numerator is smaller than the absolute value of the denominator.
prism
Zero multiplied by any value
referred to Unity in the same way
proper fraction

17. 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.
parallelogram
acute angle
proportion
The concept of trading decimal places and how it works

18. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
Whole Numbers
complementary angle
probability
change the operation from subtraction to addition

19. A solid figure with two congruent and parallel circular bases
Computation
the same point on the number line
cylinder
reduced fraction

20. The two kinds of Quantity are
Multitudes and Magnitudes
one is positive and the other is negative
Sale Price - Unit Cost
Step 1 of Converting Improper Fractions to Mixed Numbers

21. The distance around a figure.
perimeter
A = (Base x Height) / 2 - A = (BH)/2
divisor
octagon

22. A value such as 5^2 can be called

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23. A self-evident statement - that is - one that does not need to be demonstrated.
axiom
improper fraction
factors of the multiplication operation
median

24. Why are Even Exponents dangerous?
common denominator
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
square root
Inserting a zero at the left end of a whole number

25. Includes an integer as well as a fractional part
mixed number
Unity - or a Unit
commutative law of multiplication
mixed fractions

26. Any number with an exponent of 1
simplify
circumference
equal to itself.
quotient

27. The difference between the least and greatest values in a set of numbers
right angle
range
farther to the right on the number line.
Axiom VII.

28. Lines in the same plane that do not intersect. The symbol //
area
parallel lines
angle
Even and Odd

29. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Decimals/Percents
Being divided by a power of 10
To find out - easily - if one fraction is bigger than another
octagon

30. 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
Unknown quantities
Converting Improper Fractions to Mixed Numbers
quotient
commutative law of multiplication

31. Is the opposite of raising fractions to higher terms.
Reducing fractions
exponent
62.5%
Fractions allow you to plot values between whole numbers and integers.

32. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
scalene triangle
x = (+-) a
multiplier
Aliquant Part

33. What are the 3 main formulaic properties of evenly-spaced sets?
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
Any value multiplied by one
exponent
The rule for adding negative integers is the same as the rule for adding positive integers:

34. The whole is equal to all of its parts taken together.
Fractions allow you to plot values between whole numbers and integers.
product
Axiom VII.
Axiom V.

35. In a division problem - it's the number being divided
62.5%
sum
exactly the same portion
dividend

36. When working with nested signs of grouping
higher terms
always clear the innermost groups first
one is positive and the other is negative
equal to 1 divided by that number with a positive exponent

37. An angle measuring more than zero degrees and less than 90 degrees
ratio
acute angle
Being divided by a power of 10
they have the same absolute value

38. An eight-sided polygon
exponent
Even
octagon
Odd

39. Unit Profit = ?
lowest terms
trapezoid
Sale Price - Unit Cost
0.625

40. 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.
vertex (vertices - plural)
Odd
obtuse angle
Even

41. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
mixed fractions
A minus sign ( - ) is used for two entirely different purposes:
the same point on the number line
referred to the same Unit

42. A number with an exponent of 2 is often said to be
obtuse angle
Change + - Original = New
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
squared

43. Things are Equal in Magnitude when they are
referred to the same Unit
quotient
polygon
Original x (1 - x/100) = New

44. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Number
Power notation
equilateral triangle
Axiom V.

45. 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.
How the Last Digit Shortcut works
when there are explicit or implicit equations in the problem:
Unit Price x Qty. Sold
Revenue ($) - Cost ($)

46. When are you allowed to divide by a variable - (or Any expression) ?
Odd
Even
When you are absolutely sure the variable or expression <> 0
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

47. An angle measuing more than 0 degrees and less than 90 degrees
acute angle
To add integers that have the same sign both positive or both negative:
(Last - First + 1)
simplify

48. A quadrilateral with one pair of parallel sides
trapezoid
proper fractions
order of operations
Odd

49. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
1
denominator
axiom
To make sure to solve for Both cases.

50. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Change + - Original = New
1
putting that number over 1