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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. To indicate the subtraction operation - to indicate a negative integer value
Change / Original Formula?
whether the addends have the same sign or opposite signs
Axiom III.
A minus sign ( - ) is used for two entirely different purposes:

2. In a division problem - it's the number being divided
Number
dividend
equal to 1
simplify

3. 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?
vertex (vertices - plural)
change the operation from subtraction to addition
angle

4. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
The Ratio of Any two of the following: Original - Change and New
congruent
polygon
equal to itself.

5. The distance around a circle (the perimeter of a circle).
circumference
multiplicand
pyramid
Aliquot and Aliquant Parts

6. 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
referred to Unity in the same way
quotient
1 - (y/100)

7. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
parallelogram
Shift DP 2 places left
x/100
Even and Odd

8. The Sum of n consecutive integers is divisible by n if n is
2
Sale Price - Unit Cost
inverse
Odd

9. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Greater
inverse
Shift DP 2 places right
Even

10. The method for indicating the power of a number
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
factors of the multiplication operation
Power notation
Zero multiplied by any value

11. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
mode
median
scale drawing
octagon

12. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
cylinder
cross product
0.625
Odd or Non-Int

13. For there to be X unique factors of X - what must be true?
Even or Non-Int
Step 2 of Converting Improper Fractions to Mixed Numbers
Every integer between 1 and X - inclusive - must be a factor of X
Axiom III.

14. To make a fraction easier to work with by taking out common factors
Wage Rate ($ per hr) x Hrs worked
exponent
simplify
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?

15. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
right angle
they have the same absolute value
polygon
A sum of 2 primes is Odd

16. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Odd
equal to 1
A = (Diagonal1 x Diagonal2) / 2
area

17. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
radius
least common multiple (LCM)
The Decimal Numbering System
x-axis

18. What is the increment of a set of consecutive integers?
1
Percent Decrease Formula
Aliquant Part
Even div. by 4

19. 'y percent less than' = ?
Even - Odd or Non-Int
Negative-value integers
1 - (y/100)
To add integers that have the same sign both positive or both negative:

20. In a group of values - the value that occurs most often
mode
x-coordinate
y-coordinate
diameter

21. A polygon with six sides.
reduced fraction
Proof
cross product
hexagon

22. Taken together - the multiplicand and multiplier are known as
factors of the multiplication operation
percent
unit ratio
To make sure to solve for Both cases.

23. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
diameter
When the addends have the same sign both + or both -
Odd
factor

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
scalene triangle
mean
Even

25. The Only possible factors for a prime number are
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
2 and/or 5 only
1 and itself
reflection

26. 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
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.
Whole
A = (Diagonal1 x Diagonal2) / 2
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

27. The distance around a circle (the perimeter of a circle)
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
circumference
the denominator of the original improper fraction
higher terms

28. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
trapezoid
x-coordinate
complementary angles
Aliquot Part

29. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
When numbers do not divide evenly
common factor
Decimals/Percents
lowercase letters

30. Total Earnings ($) = ?
The Ratio of Any two of the following: Original - Change and New
Wage Rate ($ per hr) x Hrs worked
equilateral triangle
mixed number

31. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
numerator
Step 2 of Converting Improper Fractions to Mixed Numbers
divisor
Even

32. The vertical number line of a coordinate graph
Quantity is expressed
range
change the operation from subtraction to addition
y-axis

33. Things are Equal in Multitude when they are
Odd or Non-Int
acute angle
referred to Unity in the same way
one is positive and the other is negative

34. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
referred to the same Unit
unit ratio
prism
Inserting a zero at the left end of a whole number

35. What are the properties of the diagonals of a Rhombus?
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
factoring
polygon
0

36. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
unit ratio
they have the same absolute value
1
reciprocal

37. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
unit ratio
median
(Last - First + 1)

38. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
cubed
multiplicand
simplify
Odd

39. A sign of grouping can be omitted when it
Sale Price - Unit Cost
contains only a single number
Mathematics
common denominator

40. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
when there are explicit or implicit equations in the problem:
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
before solving
Whole Numbers

41. 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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42. No integer (except 1) that divides evenly into both the numerator and denominator.
dividing the numerator and denominator by the same number
hexagon
reduced fraction
Unit Price x Qty. Sold

43. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Odd
When the addends have opposite signs one is + and the other is -
Non-Int

44. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
median
mixed fractions
equal to 1

45. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
square unit
Magnitude
Whole Numbers
Even

46. Species are distinguished into
before solving
improper fractions
Odd
Known (Given) and Unknown (Sought)

47. The base of a triangle refers to?
(Last - First + 1)
The bottom side of the triangle
commutative law of multiplication
contains only a single number

48. In a group of values - the value that occurs most often.
expression
reflection
mode
Even - Odd or Non-Int

49. The result of the division called the
percent
simplify
Reducing by the Largest Common Factor (LCF)
quotient

50. 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.
Alternative to the algebraic manipulation method to solving a VIC
Different Units
Even - Odd or Non-Int
least common multiple (LCM)