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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 whole number can be expressed in terms of the
product
the same point on the number line
acute angle
Same units

2. What are the 3 main formulaic properties of evenly-spaced sets?
When to use the Heavy Division Shortcut - and how to do it
unit ratio
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
diameter

3. In a division problem - the number that an amount is divided by
There are two parts in the procedure for subtracting signed integers:
divisor
equivalent
combination of addition and subtraction

4. A polygon with five sides
lowest terms
greatest common factor (GCF)
pentagon
'six cubed'

5. The process of breaking a number down into its factors is called
Unit Price x Qty. Sold
Step 2 of Converting Improper Fractions to Mixed Numbers
Step 2 of Converting mixed numbers to improper fractions
factoring

6. A triangle with one right angle
theorem
farther to the left on the number line
Composite number
right triangle

7. Change/Original = New
Percent Change
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
1
proportion

8. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
always clear the innermost groups first
Axiom VII.
proportion
mixed fractions

9. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Step 1 of Converting Improper Fractions to Mixed Numbers
like fractions
Shift DP 2 places left
octagon

10. A solid figure that has triangles for its sides and a polygon as its base
62.5%
mean
pyramid
prism

11. A quadrilateral with two pairs of congruent - parallel sides.
farther to the right on the number line.
x-coordinate
mixed number
parallelogram

12. Anything that may be increased or diminished
quotient
Negative-value integers
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.

13. Always perform combinations of multiplication and division before
combination of addition and subtraction
(Last - First + 1)
Terminating decimal
multiplier

14. 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.
unit ratio
Inserting a zero at the left end of a whole number
exponent
Axiom V.

15. A whole number that has only one set of factors - itself and 1.
prime number
product
quotient
x-axis

16. An eight-sided polygon
quadrant
common factor
octagon
prime factorization

17. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Even - Odd or Non-Int
Wage Rate ($ per hr) x Hrs worked
quotient
numerator

18. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
parallelogram
Step 2 of Converting Improper Fractions to Mixed Numbers
right triangle

19. 5/8 --> Decimal ?
square root
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Number Systems
0.625

20. Why are Even Exponents dangerous?
Odd
x-axis
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
supplementary angles

21. 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
Even
Negative-value integers
Percent Change
trapezoid

22. Two angles whose sum equals 90 degrees.
Converting mixed numbers to improper fractions.
complementary angles
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
referred to Unity in the same way

23. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
equilateral triangle
contains only a single number
Decimals/Percents
Odd or Non-Int

24. 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
farther to the left on the number line
Aliquant Part
mean

25. A self-evident statement - that is - one that does not need to be demonstrated.
numerator
axiom
complementary angles
Being divided by a power of 10

26. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
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
equilateral triangle
Unknown quantities

27. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
simplify
Even
Aliquant Part
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

28. Adding integers that have opposite signs means
one is positive and the other is negative
proportion
1
hexagon

29. The largest single factor for two or more numbers.
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
area
prime factorization
greatest common factor (GCF)

30. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
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.
Greater
Shift DP 2 places left
Evaluating Powers With Negative Exponents

31. Decreasing the Denominator of a fraction Increases/Decreases the value?
x/100
simplify
dividend
Increases the value.

32. Zero divided by any whole number (except 0)
To add integers that have opposite signs:
Is zero
Composite number
Decimals/Percents

33. In a group of values - the value that occurs most often
Axiom III.
Wage Rate ($ per hr) x Hrs worked
Known quantities
mode

34. A parallelogram with four right angles
Change / Original Formula?
multiplier
rectangle
Wage Rate ($ per hr) x Hrs worked

35. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
median
1 and itself
To add integers that have the same sign both positive or both negative:
Odd

36. What is the only Even prime number?
2
To add integers that have opposite signs:
When to use the Heavy Division Shortcut - and how to do it
mixed fractions

37. Indicates the number of times the base is to be multiplied
multiplicand
cubed
exponent
referred to Unity in the same way

38. Change / Original Formula
Change + - Original = New
Known quantities
simplify
the denominator of the original improper fraction

39. Is equal to the original value. a x 1 = 1
x-coordinate
mixed fraction
Any value multiplied by one
vertex (vertices - plural)

40. All the positive whole numbers
Odd
Step 2 of Converting Improper Fractions to Mixed Numbers
integer values
Terminating decimal

41. A mathematical sentence that uses an equal sign
equation
whether the addends have the same sign or opposite signs
ratio
To add integers that have opposite signs:

42. 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').
1 and itself
Whole Numbers
right angle
Change / Original Formula?

43. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
The sum of all the integers from 20 to 100 - inclusive
equivalent
common factor
right triangle

44. What is the formula forCounting consecutive integers?
mixed number
(Last - First + 1)
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 X.

45. 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
There are two parts in the procedure for subtracting signed integers:
mode
parallelogram
Whole Numbers

46. A number is increased by 25%... what must you reduce the new number by to get the old number again?
range
Percent Decrease Formula
improper fraction
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

47. Is the disagreement of things in Quantity.
one is positive and the other is negative
Inequality
radius
octagon

48. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
Reducing by the Largest Common Factor (LCF)
improper fraction
quotient
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

49. A sign of grouping can be omitted when it
contains only a single number
both integers are positive or both are negative
Axiom X.
Long Division

50. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
divisor
complementary angle
To square an equation to solve it
median