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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 study of quantity
Mathematics
Quantity is expressed
obtuse angle
before solving

2. Includes an integer as well as a fractional part
order of operations
mixed fraction
The Ratio of Any two of the following: Original - Change and New
Arithmetic - Music - Geometry and Astronomy

3. A solid figure that has triangles for its sides and a polygon as its base
Is equal to the original value
Decimals/Percents
integer or whole number
pyramid

4. A value that combines a whole number and a fractional amount
base
mixed number
circumference
quotient

5. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
whether the addends have the same sign or opposite signs
( (Last - First) / Increment ) + 1
Odd or Non-Int
y-coordinate

6. 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
greatest common factor (GCF)
One... the number 2
There are two parts in the procedure for subtracting signed integers:
factors of the multiplication operation

7. A triangle that has three equal sides and three equal angles
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
reciprocal
equilateral triangle
Wage Rate ($ per hr) x Hrs worked

8. Change / Original Formula
hexagon
parallel lines
mixed fraction
Change + - Original = New

9. A polygon that has four sides
Fractions allow you to plot values between whole numbers and integers.
Step 1 of Converting Improper Fractions to Mixed Numbers
divisor
quadrilateral

10. What is the formula forCounting consecutive integers?
radius
Axiom VI.
improper fractions
(Last - First + 1)

11. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Axiom VI.
lowest terms
Terminating decimal
Odd

12. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
the Complement of that part to the whole
simplify
y-coordinate
ratio

13. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To make sure to solve for Both cases.
obtuse angle
Greater
To square an equation to solve it

14. A number is increased by 25%... what must you reduce the new number by to get the old number again?
rectangle
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
Any value multiplied by one
numerator

15. 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').
equation
Whole Numbers
percent
Step 2 of Converting Improper Fractions to Mixed Numbers

16. The vertical number line of a coordinate graph
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
y-axis
base
Computation

17. Always perform combinations of multiplication and division before
numerator
x = (+-) a
combination of addition and subtraction
supplementary angles

18. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
(Last - First + 1)
like fractions
prism
reduced fraction

19. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
0
Step 1 of Converting mixed numbers to improper fractions
Every integer between 1 and X - inclusive - must be a factor of X
both integers are positive or both are negative

20. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
Same units
Odd
More
integer or whole number

21. The lower number in a fraction is the
Positive-value integers
Axiom IX.
denominator
exactly the same portion

22. Expresses fractional parts that are greater than 1.
Step 2 of Converting Improper Fractions to Mixed Numbers
they have the same absolute value
mixed number
Change + - Original = New

23. A number with only two factors: the number itself and one.
When the addends have the same sign both + or both -
referred to Unity in the same way
prime number
Known (Given) and Unknown (Sought)

24. 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
denominator
Converting Improper Fractions to Mixed Numbers
common factor
Odd or Non-Int

25. The distance around a figure.
1 and itself
perimeter
factor
Even div. by 4

26. What is the formula for: The Area of a Triangle ?
theorem
fraction or broken number
A = (Base x Height) / 2 - A = (BH)/2
Converting mixed numbers to improper fractions.

27. Is the agreement of things in Quanity.
Equality
equal to 1
prime factorization
(Last - First + 1)

28. Reducing fractions is
equivalent
dividing the numerator and denominator by the same number
When you are absolutely sure the variable or expression <> 0
Even

29. A quadrilateral with two pairs of congruent - parallel sides
parallelogram
the same point on the number line
base
Both

30. Change/Original = New
whether the addends have the same sign or opposite signs
denominator
Percent Change
mixed number

31. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
mixed fractions
Composite number
prime factorization
when there are explicit or implicit equations in the problem:

32. Everything may be assumed as unity.
combination of addition and subtraction
acute angle
To add integers that have opposite signs:
Axiom I.

33. Is the disagreement of things in Quantity.
Quantity is expressed
Wage Rate ($ per hr) x Hrs worked
Known (Given) and Unknown (Sought)
Inequality

34. A statement that needs to be demonstrated and is called in Latin demonstrandum.
theorem
absolute value
before solving
perimeter

35. The number to be multiplied by is called the
5/8
enclosing the numbers in a pair of vertical lines | |
The height of a triangle
multiplier

36. Odd +/- ____ = Odd
Sale Price - Unit Cost
diameter
Always completed first
Even

37. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
rate
x-coordinate
Mathematics
Different Units

38. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
Same units
To add integers that have opposite signs:
Converting mixed numbers to improper fractions.
Mathematics

39. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
octagon
Sale Price - Unit Cost
absolute value
lowest terms

40. The sum of a group of numbers divided by the number of numbers; also known as the average
mean
prime factors
Being divided by a power of 10
theorem

41. Adding integers that have the same sign means
mixed fraction
Inequality
Same units
both integers are positive or both are negative

42. The number doing the dividing is called the
quotient
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.
divisor
dividend

43. A number that when multiplied by itself results in the original number
square root
Long Division
Both
trapezoid

44. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
x-axis
unit ratio
perimeter
improper fraction

45. Total Earnings ($) = ?
Even and Odd
divisor
right angle
Wage Rate ($ per hr) x Hrs worked

46. A number with an exponent of 2 is often said to be
Non-Int
contains only a single number
squared
Composite number

47. A polygon that has four sides.
'six cubed'
quadrilateral
Alternative to the algebraic manipulation method to solving a VIC
x-axis

48. Rules that tell which steps to follow when solving an expression
( (Last - First) / Increment ) + 1
quotient
difference
order of operations

49. The numerator is greater than - or equal to - the denominator
improper fraction
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.
factor
x-axis

50. Basic Number Properties and elementary operations.
equal to itself.
y-axis
Number Systems
A minus sign ( - ) is used for two entirely different purposes: