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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. 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
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
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.
Some integer/Some Power of 10
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

2. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
( (Last - First) / Increment ) + 1
Being divided by a power of 10
Any value multiplied by one

3. The whole is more or greater than its part.
referred to Unity in the same way
Axiom IV.
One... the number 2
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.

4. Part of the population that is studied to find the characteristics of the whole population.
y-axis
Decreases
exponent
sample

5. The ratio of a number to 100 (per one hundred); the symbol %
the Complement of that part to the whole
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Reducing by the Largest Common Factor (LCF)
percent

6. A sign of grouping can be omitted when it
To square an equation to solve it
contains only a single number
supplementary angles
factor

7. The figure formed when two rays meet at a common endpoint called a vertex.
There are two parts in the procedure for subtracting signed integers:
polygon
angle
'five squared'

8. A number that when multiplied by itself results in the original number
Mathematics
square root
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Is equal to the original value

9. .625 --> Percent?
When the addends have the same sign both + or both -
proportion
62.5%
Homogenous or Heterogenous

10. The two kinds of Multitude
Subtracting Signed Integers
Absolute and Relative
change the operation from subtraction to addition
Increases the value.

11. 0.625 --> Fraction ?
To convert any fraction to higher terms
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
5/8
Positive-value integers

12. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
both integers are positive or both are negative
The bottom side of the triangle
Decreases
diameter

13. Everything may be assumed as unity.
Axiom I.
integer or whole number
Wage Rate ($ per hr) x Hrs worked
Odd

14. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
pyramid
mixed fractions
proportion
improper fraction

15. Includes an integer as well as a fractional part
Original x (1 - x/100) = New
Whole
mixed number
cross product

16. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
numerator
divisor
Reducing fractions
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.

17. The whole-number system uses only ten characters -0 through 9.
one is positive and the other is negative
The Decimal Numbering System
Computation
complementary angle

18. A polygon with six sides.
product
equation
always clear the innermost groups first
hexagon

19. No integer (except 1) that divides evenly into both the numerator and denominator.
reduced fraction
y-axis
product
square root

20. 1 to any power is equal to
1
the same point on the number line
vertex (vertices - plural)
1 - (y/100)

21. Is the agreement of things in Quanity.
supplementary angles
Equality
the same point on the number line
circumference

22. 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
Proof
The sum of all the integers from 20 to 100 - inclusive
UnitPrice ($/unit) x Qty.Purchas'd (units)
Even

23. A triangle with one right angle
Magnitude at Rest and Magnitude in Motion
Even
To add integers that have opposite signs:
right triangle

24. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
A = (Diagonal1 x Diagonal2) / 2
proper 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

25. Adding integers that have opposite signs means
Axiom III.
difference
one is positive and the other is negative
A = (D1 x D2) / 2

26. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
Wage Rate ($ per hr) x Hrs worked
median
A = (D1 x D2) / 2
simplify

27. Original x (1 - x/100) = New
The height of a triangle
prime factors
Percent Decrease Formula
UnitPrice ($/unit) x Qty.Purchas'd (units)

28. Where do fractions occur on a number line?
Carry the 10's digit of the product to the top of the 10's column of factors.
Magnitude at Rest and Magnitude in Motion
Fractions allow you to plot values between whole numbers and integers.
Mathematics

29. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
rectangle
Homogenous or Heterogenous
(Last - First + 1)

30. Even X Even = ? ... and is div. by ?
Always completed first
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
Even div. by 4

31. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?

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32. The number being multiplied is called the
1 - (y/100)
y-axis
The Decimal Numbering System
multiplicand

33. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
Absolute and Relative
Being divided by a power of 10
always clear the innermost groups first
absolute value

34. An angle measuing more than 0 degrees and less than 90 degrees
Is zero
Unit Cost + Markup
Always completed first
acute angle

35. A mathematical sentence that uses an equal sign
ratio
equation
equal to 1 divided by that number with a positive exponent
Power notation

36. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
whether the addends have the same sign or opposite signs
Sale Price - Unit Cost
x-axis

37. To indicate the addition operation- to indicate a positive integer value
one is positive and the other is negative
proper fraction
Magnitude at Rest and Magnitude in Motion
A plus sign (+) is used for two entirely different purposes:

38. The whole is equal to all of its parts taken together.
Wage Rate ($ per hr) x Hrs worked
improper fractions
right triangle
Axiom V.

39. Profit = ?
prime factorization
Revenue ($) - Cost ($)
Zero (0)
lowercase Variables

40. The result of the division called the
sample
mixed number
lowest terms
quotient

41. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
Original + Change = New Change/Original = Percent Change
prism
circumference
hexagon

42. 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
the denominator of the original improper fraction
Arithmetic - Music - Geometry and Astronomy
Converting Improper Fractions to Mixed Numbers
complementary angle

43. An angle measuring more than 90 degrees and less than 180 degrees
factor
A minus sign ( - ) is used for two entirely different purposes:
obtuse angle
The rule for adding negative integers is the same as the rule for adding positive integers:

44. The horizontal number line of a coordinate graph
Any value multiplied by one
pentagon
x-axis
The Ratio of Any two of the following: Original - Change and New

45. The result of dividing one number by another; the solution to a division problem
Axiom I.
prime number
quotient
Whole Numbers

46. Is Always perpendicular (at 90 deg. to) the base!
the same point on the number line
The height of a triangle
Axiom II.
Aliquant Part

47. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
equal to 1
the denominator of the original improper fraction
commutative law of multiplication

48. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
Aliquot and Aliquant Parts
quadrilateral
When the addends have opposite signs one is + and the other is -
roots of numbers

49. Percent Decrease Formula ?
Original x (1 - x/100) = New
percent
Homogenous or Heterogenous
Power notation

50. The two kinds of parts
Aliquot and Aliquant Parts
Reducing by the Largest Common Factor (LCF)
reduced fraction
To make sure to solve for Both cases.