Section 1

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For any number x

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Cards (562)

Section 1

(50 cards)

For any number x

Front

Can be negative, zero, or positive

Back

Dividing by a number is the same as multiplying it by its

Front

Reciprocal

Back

Volume of a cube

Front

edge³

Back

The reciprocal of any non-zero #x is

Front

1/x

Back

∅ divided by 7

Front

Back

The sum of all angles around a point

Front

360°

Back

Probability of E not occurring:

Front

1 - P(E)

Back

Slope of any line that goes up from left to right

Front

Positive

Back

∅ Is neither

Front

Positive or Negative

Back

THE DENOMINATOR CAN NEVER

Front

BE ZERO! 1/∅=null

Back

If a lamp decreases to $80, from $100, what is the decrease in price?

Front

= (actual decrease/Original amount) x100% = 20/100x100% = 20%

Back

If E is certain

Front

P(E) = 1/1 = 1

Back

The Perimeter of a rectangle

Front

P=2(l+w)

Back

Slope

Front

y₂-y₁/x₂-x₁

Back

Area of a Parallelogram:

Front

A=(base)(height)

Back

The reciprocal of any non-zero number is

Front

1/x

Back

How do you solve proportions? a/b=c/d

Front

Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

Back

X is the opposite of

Front

-X

Back

Probability of Event all cases

Front

∅≤P(E)≤1

Back

(x-y)(x+y)

Front

x²-y²

Back

Volume of a rectangular solid

Front

(length)(width)(height)

Back

formula for distance problems

Front

distance=rate×time or d=rt

Back

Rate

Front

d/t (distance)/(time)

Back

Any Horizontal line slope

Front

zero

Back

7 divided by ∅

Front

Null

Back

If a lamp increases from $80 to $100, what is the percent increase?

Front

= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

Back

Slope of any line that goes down as you move from left to right is

Front

Negative

Back

If Event is impossible

Front

P(E) = ø

Back

Area of a circle

Front

(pi)r²

Back

An Angle that's 180°

Front

Straight Angle

Back

The Perimeter of a Square

Front

P=4s (s=side)

Back

Time

Front

(distance)/(rate) d/r

Back

The product of odd number of negative numbers

Front

Negative

Back

If a product of two numbers is ∅, one number must be

Front

Back

(x+y)²

Front

x²+2xy+y²

Back

Distance

Front

(rate)(time) d=rt

Back

Vertical lines

Front

Do not have slopes!

Back

The only number that is equal to its opposite

Front

∅ ∅=∅

Back

If a pair of parallel lines is cut by a transversal that's not perpendicular, the sum of any acute angle and any obtuse angle is

Front

180 Acute Angle an angle that is less than 90° Obtuse Angle:angle that is greater than 90° but less than 180°

Back

Circumference of a circle

Front

pi(diameter)

Back

Probability of an Event

Front

P(E) = number of favorable outcomes/total number of possible outcomes

Back

3 is the opposite of

Front

-3

Back

To decrease a number by x%

Front

multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

Back

Product of any number and ∅ is

Front

Back

If a>b then

Front

-a<-b

Back

To increase a number by x%

Front

multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

Back

Circumference of a circle

Front

2(pi)r

Back

(x-y)²

Front

x²-2xy+y²

Back

The percent decrease of a quantity

Front

= (actual decrease/Original amount) x 100%

Back

The product of any number x and its reciprocal

Front

1

Back

Section 2

(50 cards)

1ⁿ

Front

1

Back

∅ is

Front

Even

Back

30 60 90

Front

5, 12, 13

Back

-3³

Front

-27

Back

2 is the only

Front

Even prime number

Back

20<all primes<30

Front

23, 29

Back

(2²)³

Front

2⁶

Back

If a is positive, aⁿ is

Front

Positive

Back

1 is an

Front

ODD number

Back

∅ is a multiple of

Front

Every number

Back

2⁵/2³

Front

Back

1 is a divisor of

Front

every number

Back

∅²

Front

Back

One is (a prime or not?)

Front

NOT A PRIME

Back

30 60 90

Front

3x, 4x, 5x

Back

a(b-c)

Front

ab-ac

Back

Front

1

Back

Consecutive integers

Front

x, x+1, x+2

Back

2³×7³

Front

(2x7)³

Back

Positive integers that have exactly 2 positive divisors are

Front

Prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23)

Back

1 is the

Front

smallest positive integer

Back

A number is divisible by 6 if...

Front

its divisible by 2 and by 3.

Back

If a is negative and n is even then aⁿ is (positive or negative?)

Front

aⁿ is positive

Back

a/∅

Front

Null

Back

25^(1/2) or sqrt. 25 =

Front

5 OR -5

Back

∅ is a multiple of

Front

Two (∅×2=∅)

Back

30 60 90

Front

x, x(SR3), 2x

Back

Number of degrees in a triangle

Front

180

Back

30 60 90

Front

3, 4, 5

Back

∅ is

Front

A multiple of every integer

Back

∅ Is

Front

EVEN

Back

40 < all primes<50

Front

41, 43, 47

Back

-3²

Front

9

Back

50 < all primes< 60

Front

53, 59

Back

10<all primes<20

Front

11, 13, 17, 19

Back

a>b then a - b is positive or negative?

Front

a-b is positive

Back

a<b then a - b is positive or negative?

Front

a-b is negative

Back

If a<b, then

Front

a+c<b+c

Back

A number is divisible by 9 if...

Front

the sum of digits is divisible by 9.

Back

a(b+c)

Front

ab+ac

Back

2⁵+2³

Front

2⁸

Back

1/2 divided by 3/7 is the same as

Front

1/2 times 7/3

Back

bⁿ

Front

b∧b∧b (where b is used as a factor n times)

Back

What are the irrational numbers?

Front

All real numbers which can't be expressed as a ratio of two integers, positive and negative (pi, -sqrt3)

Back

A number is divisible by 4 is...

Front

its last two digits are divisible by 4.

Back

What are the real numbers?

Front

All the numbers on the number line (negative, rational, irrational, decimal, integer). All the numbers on the GRE are real. (-2, 1, .25, 1/2, pi)

Back

A number is divisible by 3 if ...

Front

the sum of its digits is divisible by 3.

Back

30< all primes<40

Front

31, 37

Back

What are the rational numbers?

Front

All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2, 1, .25, 1/2)

Back

What are the integers?

Front

All numbers multiples of 1.

Back

Section 3

(50 cards)

Factor a^2 + 2ab + b^2

Front

(a + b)^2

Back

a^2 - 2ab + b^2

Front

(a - b)^2

Back

5/8 in percent?

Front

62.5%

Back

What is the order of operations?

Front

PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

Back

What is an isoceles triangle?

Front

Two equal sides and two equal angles.

Back

5/6 in percent?

Front

83.333%

Back

a^2 - b^2 =

Front

(a - b)(a + b)

Back

Circumference of a circle?

Front

Diameter(Pi)

Back

Which quadrant is the lower left hand?

Front

III

Back

Define an "expression".

Front

An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy, 4ab, -5cd, x^2 + x - 1)

Back

(x^2)^4

Front

x^(2(4)) =x^8 = (x^4)^2

Back

Area of a triangle?

Front

(base*height) / 2

Back

Define a "monomial"

Front

An expression with just one term (-6x, 2a^2)

Back

If an inequality is multiplied or divided by a negative number....

Front

the direction of the inequality is reversed.

Back

The larger the absolute value of the slope...

Front

the steeper the slope.

Back

What are "supplementary angles?"

Front

Two angles whose sum is 180.

Back

What is the "domain" of a function?

Front

The set of input values for a function.

Back

0^0

Front

undefined

Back

1/8 in percent?

Front

12.5%

Back

Which quadrant is the upper left hand?

Front

II

Back

Can you simplify sqrt72?

Front

Yes, because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

Back

Solve the quadratic equation ax^2 + bx + c= 0

Front

x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

Back

How to find the circumference of a circle which circumscribes a square?

Front

Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

Back

When does a function automatically have a restricted domain (2)?

Front

When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

Back

10^6 has how many zeroes?

Front

6

Back

Define a "term",

Front

A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x, 4x^2 and 2a/c)

Back

Can you add sqrt 3 and sqrt 5?

Front

No, only like radicals can be added.

Back

What does scientific notation mean?

Front

Expressing a number as the product of a decimal between 1 and 10, and a power of 10.

Back

60 < all primes <70

Front

61, 67

Back

1/6 in percent?

Front

16.6666%

Back

a^2 - b^2

Front

(a - b)(a + b)

Back

What is the sum of the angles of a triangle?

Front

180 degrees

Back

(6sqrt3) x (2sqrt5) =

Front

(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

Back

7/8 in percent?

Front

87.5%

Back

70 < all primes< 80

Front

71, 73, 79

Back

To multiply a number by 10^x

Front

move the decimal point to the right x places

Back

What is the "range" of a function?

Front

The set of output values for a function.

Back

Can you subtract 3sqrt4 from sqrt4?

Front

Yes, like radicals can be added/subtracted.

Back

Which quandrant is the lower right hand?

Front

IV

Back

a^2 + 2ab + b^2

Front

(a + b)^2

Back

How to determine percent decrease?

Front

(amount of decrease/original price) x 100%

Back

x^6 / x^3

Front

x^(6-3) = x^3

Back

What is the slope of a horizontal line?

Front

0

Back

What is the "range" of a series of numbers?

Front

The greatest value minus the smallest.

Back

What is the slope of a vertical line?

Front

Undefined, because we can't divide by 0.

Back

(12sqrt15) / (2sqrt5) =

Front

(12/2) x (sqrt15 / sqrt5) = 6sqrt3

Back

3/8 in percent?

Front

37.5%

Back

a^0 =

Front

1

Back

x^4 + x^7 =

Front

x^(4+7) = x^11

Back

Which quadrant is the upper right hand?

Front

I

Back

Section 4

(50 cards)

What is the graph of f(x) shifted upward c units or spaces?

Front

f(x) + c

Back

True or false? 4.809 X 10^7 = .0004809 X 10^11

Front

True

Back

Evaluate (4^3)^2

Front

4096

Back

What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?

Front

A reflection about the origin.

Back

Write 10,843 X 10^7 in scientific notation

Front

1.0843 X 10^11

Back

Evaluate 3& 2/7 / 1/3

Front

9 & 6/7

Back

Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week, how many did each work?

Front

48

Back

What is an arc of a circle?

Front

An arc is a portion of a circumference of a circle.

Back

Formula for the area of a sector of a circle?

Front

Sector area = (n/360) X (pi)r^2

Back

Convert 0.7% to a fraction.

Front

7 / 1000

Back

T or F? Given d,e &f =/ 0, [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?

Front

True

Back

Reduce: 4.8 : 0.8 : 1.6

Front

6 : 1 : 2

Back

Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14

Front

2 & 3/7

Back

If the two sides of a triangle are unequal then the longer side.................

Front

lies opposite the greater angle

Back

What is the graph of f(x) shifted left c units or spaces?

Front

f(x + c)

Back

Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?

Front

9 : 25

Back

Formula for the area of a circle?

Front

A = pi(r^2)

Back

Formula to find a circle's circumference from its radius?

Front

C = 2(pi)r

Back

Which is greater? 64^5 or 16^8

Front

16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

Back

What number between 70 & 75, inclusive, has the greatest number of factors?

Front

72

Back

8.84 / 5.2

Front

1.7

Back

What is the graph of f(x) shifted downward c units or spaces?

Front

f(x) - c

Back

200 <_ x <_ 300. How many values of x are divisible by 5 & 8?

Front

3

Back

Formula to find a circle's circumference from its diameter?

Front

C = (pi)d

Back

What are congruent triangles?

Front

Triangles with same measure and same side lengths.

Back

If a=-1 and b=3, what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?

Front

20.5

Back

The perimeter of a square is 48 inches. The length of its diagonal is:

Front

12sqrt2

Back

Whats the difference between factors and multiples?

Front

Factors are few, multiples are many.

Back

What are complementary angles?

Front

Two angles whose sum is 90.

Back

What is the "solution" for a set of inequalities.

Front

The overlapping sections.

Back

Evaluate 4/11 + 11/12

Front

1 & 37/132

Back

What is a chord of a circle?

Front

A chord is a line segment joining two points on a circle.

Back

What is the "solution" for a system of linear equations?

Front

The point of intersection of the systems.

Back

What is the graph of f(x) shifted right c units or spaces?

Front

f(x-c)

Back

If Madagascar's exports totaled 1.3 billion in 2009, and 4% came from China, what was the value in millions of the country's exports to China?

Front

52

Back

Simplify 9^(1/2) X 4^3 X 2^(-6)?

Front

3

Back

Legs 6, 8. Hypotenuse?

Front

10

Back

Formula to calculate arc length?

Front

Arc length = (n/360) x pi(2r) where n is the number of degrees.

Back

What percent of 40 is 22?

Front

55%

Back

What is a major arc?

Front

The longest arc between points A and B on a circle's diameter.

Back

What is a minor arc?

Front

The shortest arc between points A and B on a circle's diameter.

Back

Legs 5, 12. Hypotenuse?

Front

13

Back

What is a central angle?

Front

A central angle is an angle formed by 2 radii.

Back

Pi is a ratio of what to what?

Front

Pi is the ratio of a circle's circumference to its diameter.

Back

Simplify 4sqrt21 X 5sqrt2 / 10sqrt7

Front

2sqrt6

Back

What is a tangent?

Front

A tangent is a line that only touches one point on the circumference of a circle.

Back

Hector invested $6000. Part was invested in account with 9% simple annual interest, and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments, how much did he invest in each account?

Front

$3,500 in the 9% and $2,500 in the 7%.

Back

Legs: 3, 4. Hypotenuse?

Front

5

Back

What are the smallest three prime numbers greater than 65?

Front

67, 71, 73

Back

5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same, what is the average of muffins per bakery sold among the remaining?

Front

500

Back

Section 5

(50 cards)

For what values should the domain be restricted for the function f(x) = sqrt(x + 8)

Front

-8

Back

i.e (5^7)/(5^3)= 5^4

Front

...

Back

When dividing exponential #s with the same base, you do this to the exponents...

Front

Subtract them.

Back

How to recognize a # as a multiple of 9

Front

The sum of the digits is a multiple of 9.

Back

Slope given 2 points

Front

m= (Y1-Y2)/(X1-X2)

Back

OR pi x D

Front

...

Back

Find distance when given time and rate

Front

d=rt so r= d/t and t=d/r

Back

Simplify the expression [(b^2 - c^2) / (b - c)]

Front

(b + c)

Back

What is the set of elements found in both A and B?

Front

The interesection of A and B.

Back

If 4500 is invested at a simple interest rate of 6%, what is the value of the investment after 10 months?

Front

4725

Back

i.e. (5^7) * (5^3) = 5^10

Front

...

Back

When multiplying exponential #s with the same base, you do this to the exponents...

Front

Add them.

Back

Area of a triangle

Front

A= (1/2) b*h

Back

factored binomial product of (x+y)²

Front

x²+2xy+y²

Back

(a^-1)/a^5

Front

1/a^6

Back

Perfect Squares 1-15

Front

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225

Back

For similar triangles, the ratio of their corresponding sides is 2:3. What is the ratio of their areas?

Front

4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

Back

What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2, 4, and 6?

Front

75:11

Back

If 10800 is invested at a simple interest rate of 4%, what is the value of the investment after 18 months?

Front

$11,448

Back

What are the roots of the quadrinomial x^2 + 2x + 1?

Front

The two xes after factoring.

Back

binomial product of (x+y)(x-y)

Front

x²-y²

Back

What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?

Front

cd

Back

If r, t, s & u are distinct, consecutive prime numbers, less than 31, which of the following could be an average of them (4, 4.25, 6, 9, 24, 22, 24)

Front

4.25, 6, 22

Back

What is the maximum value for the function g(x) = (-2x^2) -1?

Front

-1

Back

5x^2 - 35x -55 = 0

Front

[(7+ sqrt93) /2], [(7 - sqrt93) / 2]

Back

P and r are factors of 100. What is greater, pr or 100?

Front

Indeterminable.

Back

x^2 = 9. What is the value of x?

Front

3, -3

Back

How to recognize a # as a multiple of 3

Front

The sum of the digits is a multiple of 3

Back

How many multiples does a given number have?

Front

Infinite.

Back

How to recognize a # as a multiple of 4

Front

The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4, so 144 must also be a multiple of 4.)

Back

6w^2 - w - 15 = 0

Front

-3/2 , 5/3

Back

Circumference of a Circle

Front

c=2 x pi x r

Back

How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]

Front

0

Back

(i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)

Front

...

Back

How to recognize a multiple of 6

Front

Sum of digits is a multiple of 3 and the last digit is even.

Back

Area of a circle

Front

A=pi*(r^2)

Back

Simplify the expression (p^2 - q^2)/ -5(q - p)

Front

(p + q)/5

Back

What transformation occurs if point C is reflected over the x-axis and then the y-axis?

Front

A reflection about the axis.

Back

Simplify (a^2 + b)^2 - (a^2 - b)^2

Front

4a^2(b)

Back

Is 0 even or odd?

Front

Even

Back

First 10 prime #s

Front

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Back

Area of a rectangle

Front

A = length x width

Back

The four angles around a point measure y, 2y, 35 and 55 respectively. What is the value of y?

Front

90

Back

Factor x^2 - xy + x.

Front

x(x - y + 1)

Back

What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?

Front

2

Back

What is the ratio of the sides of an isosceles right triangle?

Front

1:1:sqrt2

Back

Perimeter of a rectangle

Front

P= 2L + 2w

Back

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself

Front

...

Back

Volume of a rectangular box

Front

V=Lwh

Back

How to recognize if a # is a multiple of 12

Front

The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3, and 44 is a multiple of 4, so 144 is a multiple of 12.)

Back

Section 6

(50 cards)

In a rectangle, all angles are

Front

Right

Back

#2 What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?

Front

• The shortest side is opposite the smallest angle.

Back

#3 What is an important property of a 30-60-90 triangle?

Front

• The ratio of the length of the three sides is x:x√3:2x http://o.quizlet.com/LfZfJjj3Y2h-Z1nnE21GTQ.png

Back

#3 What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?

Front

• Sides with the same lengths are opposite angles with the same measure.

Back

Distance

Front

(rate)(time) d=rt

Back

If a pair of parallel lines is cut by a transversal that's not perpendicular, the sum of any acute angle and any obtuse angle is

Front

180

Back

(x+y)²

Front

x²+2xy+y²

Back

The sum of the measures of the n angles in a polygon with n sides

Front

(n-2) x 180 http://o.quizlet.com/ej9Ol2cXbA1a5bjESJ8-Zw.jpg

Back

The Perimeter of a rectangle

Front

P=2(l+w)

Back

Rate

Front

d/t (distance)/(time)

Back

The Perimeter of a Square

Front

P=4s (s=side)

Back

If y is directly proportional to x, what does it equal?

Front

y/x is a constant

Back

the slope of a line in y=mx+b

Front

m

Back

(x-y)²

Front

x²-2xy+y²

Back

The negative exponent x⁻ⁿ is equivalent to what?

Front

1/xⁿ

Back

How do you solve proportions?

Front

...

Back

#1 What are the important properties of a 45-45-90 triangle?

Front

• The triangle is a right triangle. http://o.quizlet.com/ZRUKVmbufm8JVNHyj6A33Q.png

Back

Obtuse Angle:angle that is greater than 90° but less than 180°

Front

...

Back

a/b=c/d

Front

...

Back

What is a percent?

Front

A percent is a fraction whose denominator is 100.

Back

In a Regular Polygon, the measure of each exterior angle

Front

360/n http://o.quizlet.com/ej9Ol2cXbA1a5bjESJ8-Zw.jpg

Back

The sum of all angles around a point

Front

360°

Back

#1 What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?

Front

• The longest side is opposite the largest (biggest) angle.

Back

formula for distance problems

Front

distance=rate×time or d=rt

Back

formula for the volume of a cube

Front

V=side³

Back

factored binomial product of (x-y)²

Front

x²-2xy+y²

Back

Acute Angle an angle that is less than 90°

Front

...

Back

Time

Front

(distance)/(rate) d/r

Back

In a Rectangle, each angles measures

Front

90°

Back

Area of a Parallelogram:

Front

A=(base)(height) http://o.quizlet.com/aCX960zpf1s9wKu8z.u0tw.jpg

Back

#3 What are the important properties of a 45-45-90 triangle?

Front

• The ratio of the lengths of the three sides is x:x:x√2. http://o.quizlet.com/ZRUKVmbufm8JVNHyj6A33Q.png

Back

binomial product of (x-y)²

Front

(x+y)(x-y)

Back

A quadrilateral where two diagonals bisect each other

Front

Parallelogram http://o.quizlet.com/aCX960zpf1s9wKu8z.u0tw.jpg

Back

the measure of a straight angle

Front

180°

Back

(x-y)(x+y)

Front

x²-y²

Back

i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

Front

...

Back

The sum of the angles in a quadrilateral is

Front

360° http://o.quizlet.com/PhRTJH.MtlGqIDeopsop4A.png

Back

(k is a constant)

Front

...

Back

#2 What is an important property of a 30-60-90 triangle?

Front

• The hypotenuse is twice the length of the shorter leg. http://o.quizlet.com/LfZfJjj3Y2h-Z1nnE21GTQ.png

Back

In any polygon, all external angles equal up to

Front

360° http://o.quizlet.com/ej9Ol2cXbA1a5bjESJ8-Zw.jpg

Back

The consecutive angles in a parallelogram equal

Front

180° http://o.quizlet.com/aCX960zpf1s9wKu8z.u0tw.jpg

Back

binomial product of (x+y)²

Front

(x+y)(x+y)

Back

Pythagorean theorem

Front

a²+b²=c²

Back

An Angle that's 180°

Front

Straight Angle

Back

If a is inversely porportional to b, what does it equal?

Front

ab=k

Back

formula for volume of a rectangular solid

Front

V=l×w×h

Back

#2 What are the important properties of a 45-45-90 triangle?

Front

• The triangle is isosceles (AC=BC). http://o.quizlet.com/ZRUKVmbufm8JVNHyj6A33Q.png

Back

#1 What is an important property of a 30-60-90 triangle?

Front

• The triangle is a right triangle. http://o.quizlet.com/LfZfJjj3Y2h-Z1nnE21GTQ.png

Back

formula for area of a triangle

Front

A=½bh

Back

a/b=c/d

Front

Cross multiplication

Back

Section 7

(50 cards)

∅ is a multiple of

Front

Two (∅×2=∅)

Back

If E is certain

Front

P(E) = 1/1 = 1

Back

4/6=10/15

Front

...

Back

X is the opposite of

Front

-X

Back

Product of any number and ∅ is

Front

Back

The only number that is equal to its opposite

Front

∅ ∅=∅

Back

Slope of any line that goes up from left to right

Front

Positive

Back

If a product of two numbers is ∅, one number must be

Front

Back

The product of odd number of negative numbers

Front

Negative

Back

= (actual increase/original amount) x 100%

Front

...

Back

One is (a prime or not?)

Front

NOT A PRIME

Back

If a lamp decreases to $80, from $100, what is the decrease in price?

Front

= (actual decrease/Original amount) x100%

Back

4(15)=6(10) 60=60

Front

...

Back

Dividing by a number is the same as multiplying it by its

Front

Reciprocal

Back

Probability of E not occurring:

Front

1 - P(E)

Back

Circumference of a circle

Front

pi(diameter)

Back

= 20/100x100% = 20%

Front

...

Back

Slope

Front

y₂-y₁/x₂-x₁

Back

If Event is impossible

Front

P(E) = ø

Back

Probability of an Event

Front

P(E) = number of favorable outcomes/total number of possible outcomes

Back

2 is the only

Front

Even prime number

Back

∅ Is neither

Front

Positive or Negative

Back

∅ is a multiple of

Front

Every number

Back

∅ divided by 7

Front

Back

3 is the opposite of

Front

-3

Back

The reciprocal of any non-zero #x is

Front

1/x

Back

The percent decrease of a quantity

Front

= (actual decrease/Original amount) x 100%

Back

If a>b then

Front

-a<-b

Back

i.e. 100 x (1-50%)=100x.5=50

Front

...

Back

For any number x

Front

Can be negative, zero, or positive

Back

If a lamp increases from $80 to $100, what is the percent increase?

Front

= 25%.

Back

Vertical lines

Front

Do not have slopes!

Back

To decrease a number by x%

Front

multiply by 1-x%

Back

Circumference of a circle

Front

2(pi)r

Back

The reciprocal of any non-zero number is

Front

1/x

Back

Volume of a cube

Front

edge³

Back

The product of any number x and its reciprocal

Front

1

Back

THE DENOMINATOR CAN NEVER

Front

BE ZERO! 1/∅=null

Back

7 divided by ∅

Front

Null

Back

i.e. 100 x (1+50%)=100x1.5=150

Front

...

Back

Probability of Event all cases

Front

∅≤P(E)≤1

Back

Consecutive integers

Front

x, x+1, x+2

Back

Any Horizontal line slope

Front

zero

Back

Slope of any line that goes down as you move from left to right is

Front

Negative

Back

= 20/80 x 100% = 1/4 x 100% = 25%

Front

...

Back

∅ Is

Front

EVEN

Back

To increase a number by x%

Front

multiply by 1+x%

Back

Area of a circle

Front

(pi)r²

Back

Positive integers that have exactly 2 positive divisors are

Front

Prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23)

Back

Volume of a rectangular solid

Front

(length)(width)(height)

Back

Section 8

(50 cards)

7/8 in percent?

Front

87.5%

Back

Front

1

Back

3/8 in percent?

Front

37.5%

Back

50 < all primes< 60

Front

53, 59

Back

A number is divisible by 4 is...

Front

its last two digits are divisible by 4.

Back

1/2 divided by 3/7 is the same as

Front

1/2 times 7/3

Back

A number is divisible by 3 if ...

Front

the sum of its digits is divisible by 3.

Back

25^(1/2) or sqrt. 25 =

Front

5 OR -5

Back

a(b-c)

Front

ab-ac

Back

What are the real numbers?

Front

All the numbers on the number line (negative, rational, irrational, decimal, integer). All the numbers on the GRE are real. (-2, 1, .25, 1/2, pi)

Back

1ⁿ

Front

1

Back

20<all primes<30

Front

23, 29

Back

30< all primes<40

Front

31, 37

Back

-3³

Front

-27

Back

2⁵+2³

Front

2⁸

Back

If a is positive, aⁿ is

Front

Positive

Back

a<b then a - b is positive or negative?

Front

a-b is negative

Back

30 60 90

Front

3x, 4x, 5x

Back

70 < all primes< 80

Front

71, 73, 79

Back

Number of degrees in a triangle

Front

180

Back

2³×7³

Front

(2x7)³

Back

∅ is

Front

Even

Back

What are the irrational numbers?

Front

All real numbers which can't be expressed as a ratio of two integers, positive and negative (pi, -sqrt3)

Back

30 60 90

Front

x, x(SR3), 2x

Back

a>b then a - b is positive or negative?

Front

a-b is positive

Back

If a is negative and n is even then aⁿ is (positive or negative?)

Front

aⁿ is positive

Back

1/8 in percent?

Front

12.5%

Back

1/6 in percent?

Front

16.6666%

Back

a/∅

Front

Null

Back

1 is a divisor of

Front

every number

Back

40 < all primes<50

Front

41, 43, 47

Back

1 is the

Front

smallest positive integer

Back

A number is divisible by 9 if...

Front

the sum of digits is divisible by 9.

Back

If a<b, then

Front

a+c<b+c

Back

30 60 90

Front

5, 12, 13

Back

30 60 90

Front

3, 4, 5

Back

What are the rational numbers?

Front

All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2, 1, .25, 1/2)

Back

A number is divisible by 6 if...

Front

its divisible by 2 and by 3.

Back

-3²

Front

9

Back

∅ is

Front

A multiple of every integer

Back

What are the integers?

Front

All numbers multiples of 1.

Back

2⁵/2³

Front

Back

(2²)³

Front

2⁶

Back

a(b+c)

Front

ab+ac

Back

10<all primes<20

Front

11, 13, 17, 19

Back

bⁿ

Front

b∧b∧b (where b is used as a factor n times)

Back

∅²

Front

Back

60 < all primes <70

Front

61, 67

Back

1 is an

Front

ODD number

Back

5/8 in percent?

Front

62.5%

Back

Section 9

(50 cards)

How to find the circumference of a circle which circumscribes a square?

Front

Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

Back

Area of a triangle?

Front

(base*height) / 2

Back

What is an isoceles triangle?

Front

Two equal sides and two equal angles.

Back

What is the "range" of a function?

Front

The set of output values for a function.

Back

Can you simplify sqrt72?

Front

Yes, because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

Back

(x^2)^4

Front

x^(2(4)) =x^8 = (x^4)^2

Back

What is the slope of a vertical line?

Front

Undefined, because we can't divide by 0.

Back

Pi is a ratio of what to what?

Front

Pi is the ratio of a circle's circumference to its diameter.

Back

What are "supplementary angles?"

Front

Two angles whose sum is 180.

Back

a^2 + 2ab + b^2

Front

(a + b)^2

Back

Define a "monomial"

Front

An expression with just one term (-6x, 2a^2)

Back

(6sqrt3) x (2sqrt5) =

Front

(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

Back

Can you add sqrt 3 and sqrt 5?

Front

No, only like radicals can be added.

Back

Circumference of a circle?

Front

Diameter(Pi)

Back

Can you subtract 3sqrt4 from sqrt4?

Front

Yes, like radicals can be added/subtracted.

Back

What is a chord of a circle?

Front

A chord is a line segment joining two points on a circle.

Back

What is the slope of a horizontal line?

Front

0

Back

What is a central angle?

Front

A central angle is an angle formed by 2 radii.

Back

How to determine percent decrease?

Front

(amount of decrease/original price) x 100%

Back

10^6 has how many zeroes?

Front

6

Back

Define an "expression".

Front

An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy, 4ab, -5cd, x^2 + x - 1)

Back

What is the sum of the angles of a triangle?

Front

180 degrees

Back

5/6 in percent?

Front

83.333%

Back

What is a major arc?

Front

The longest arc between points A and B on a circle's diameter.

Back

When does a function automatically have a restricted domain (2)?

Front

When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

Back

Define a "term",

Front

A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x, 4x^2 and 2a/c)

Back

a^0 =

Front

1

Back

What is an arc of a circle?

Front

An arc is a portion of a circumference of a circle.

Back

a^2 - b^2

Front

(a - b)(a + b)

Back

What is a tangent?

Front

A tangent is a line that only touches one point on the circumference of a circle.

Back

a^2 - 2ab + b^2

Front

(a - b)^2

Back

If an inequality is multiplied or divided by a negative number....

Front

the direction of the inequality is reversed.

Back

Formula to find a circle's circumference from its diameter?

Front

C = (pi)d

Back

What is the "domain" of a function?

Front

The set of input values for a function.

Back

The larger the absolute value of the slope...

Front

the steeper the slope.

Back

Formula to find a circle's circumference from its radius?

Front

C = 2(pi)r

Back

0^0

Front

undefined

Back

x^6 / x^3

Front

x^(6-3) = x^3

Back

If the two sides of a triangle are unequal then the longer side.................

Front

lies opposite the greater angle

Back

What is a minor arc?

Front

The shortest arc between points A and B on a circle's diameter.

Back

What is the "range" of a series of numbers?

Front

The greatest value minus the smallest.

Back

Formula to calculate arc length?

Front

Arc length = (n/360) x pi(2r) where n is the number of degrees.

Back

Factor a^2 + 2ab + b^2

Front

(a + b)^2

Back

(12sqrt15) / (2sqrt5) =

Front

(12/2) x (sqrt15 / sqrt5) = 6sqrt3

Back

To multiply a number by 10^x

Front

move the decimal point to the right x places

Back

What is the order of operations?

Front

PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

Back

x^4 + x^7 =

Front

x^(4+7) = x^11

Back

What does scientific notation mean?

Front

Expressing a number as the product of a decimal between 1 and 10, and a power of 10.

Back

a^2 - b^2 =

Front

(a - b)(a + b)

Back

Solve the quadratic equation ax^2 + bx + c= 0

Front

x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

Back

Section 10

(50 cards)

64^5 = (4^3)^5 = 4^15

Front

...

Back

Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14

Front

2 & 3/7

Back

Legs 6, 8. Hypotenuse?

Front

10

Back

Formula for the area of a sector of a circle?

Front

Sector area = (n/360) X (pi)r^2

Back

Evaluate 3& 2/7 / 1/3

Front

9 & 6/7

Back

Legs: 3, 4. Hypotenuse?

Front

5

Back

Is 0 even or odd?

Front

Even

Back

How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]

Front

0

Back

True or false? 4.809 X 10^7 = .0004809 X 10^11

Front

True

Back

What is the graph of f(x) shifted upward c units or spaces?

Front

f(x) + c

Back

Hector invested $6000. Part was invested in account with 9% simple annual interest, and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments, how much did he invest in each account?

Front

$3,500 in the 9% and $2,500 in the 7%.

Back

Convert 0.7% to a fraction.

Front

7 / 1000

Back

What are the roots of the quadrinomial x^2 + 2x + 1?

Front

The two xes after factoring.

Back

What is the graph of f(x) shifted downward c units or spaces?

Front

f(x) - c

Back

T or F? Given d,e &f =/ 0, [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?

Front

True

Back

Simplify (a^2 + b)^2 - (a^2 - b)^2

Front

4a^2(b)

Back

Evaluate 4/11 + 11/12

Front

1 & 37/132

Back

5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same, what is the average of muffins per bakery sold among the remaining?

Front

500

Back

What is the "solution" for a system of linear equations?

Front

The point of intersection of the systems.

Back

Legs 5, 12. Hypotenuse?

Front

13

Back

Formula for the area of a circle?

Front

A = pi(r^2)

Back

16^8=(4^2)^8 = 4^16

Front

...

Back

What is the "solution" for a set of inequalities.

Front

The overlapping sections.

Back

What is the graph of f(x) shifted left c units or spaces?

Front

f(x + c)

Back

What percent of 40 is 22?

Front

55%

Back

Whats the difference between factors and multiples?

Front

Factors are few, multiples are many.

Back

The perimeter of a square is 48 inches. The length of its diagonal is:

Front

12sqrt2

Back

What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?

Front

A reflection about the origin.

Back

8.84 / 5.2

Front

1.7

Back

If r, t, s & u are distinct, consecutive prime numbers, less than 31, which of the following could be an average of them (4, 4.25, 6, 9, 24, 22, 24)

Front

4.25, 6, 22

Back

What number between 70 & 75, inclusive, has the greatest number of factors?

Front

72

Back

If a=-1 and b=3, what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?

Front

20.5

Back

P and r are factors of 100. What is greater, pr or 100?

Front

Indeterminable.

Back

Factor x^2 - xy + x.

Front

x(x - y + 1)

Back

Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?

Front

9 : 25

Back

Evaluate (4^3)^2

Front

4096

Back

How many multiples does a given number have?

Front

Infinite.

Back

Write 10,843 X 10^7 in scientific notation

Front

1.0843 X 10^11

Back

200 <_ x <_ 300. How many values of x are divisible by 5 & 8?

Front

3

Back

Simplify 4sqrt21 X 5sqrt2 / 10sqrt7

Front

2sqrt6

Back

Simplify 9^(1/2) X 4^3 X 2^(-6)?

Front

3

Back

What are the smallest three prime numbers greater than 65?

Front

67, 71, 73

Back

Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week, how many did each work?

Front

48

Back

What are complementary angles?

Front

Two angles whose sum is 90.

Back

If Madagascar's exports totaled 1.3 billion in 2009, and 4% came from China, what was the value in millions of the country's exports to China?

Front

52

Back

Simplify the expression [(b^2 - c^2) / (b - c)]

Front

(b + c)

Back

Reduce: 4.8 : 0.8 : 1.6

Front

6 : 1 : 2

Back

What is the graph of f(x) shifted right c units or spaces?

Front

f(x-c)

Back

What are congruent triangles?

Front

Triangles with same measure and same side lengths.

Back

Which is greater? 64^5 or 16^8

Front

16^8

Back

Section 11

(50 cards)

Describe the relationship between the graphs of x^2 and (1/2)x^2

Front

The second graph is less steep.

Back

A cylinder has a surface area of 22pi. If the cylinder has a height of 10, what is the radius?

Front

1

Back

If 4500 is invested at a simple interest rate of 6%, what is the value of the investment after 10 months?

Front

4725

Back

What is a subset?

Front

a grouping of the members within a set based on a shared characteristic.

Back

What is the third quartile of the following data set: 44, 58, 63, 63, 68, 70, 82

Front

70

Back

What is the empty set?

Front

A set with no members, denoted by a circle with a diagonal through it.

Back

What is the name for a grouping of the members within a set based on a shared characteristic?

Front

A subset.

Back

The four angles around a point measure y, 2y, 35 and 55 respectively. What is the value of y?

Front

90

Back

What is the side length of an equilateral triangle with altitude 6?

Front

4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...

Back

What is the area of a regular hexagon with side 6?

Front

54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

Back

If you have a set of n objects, but you only want to order k of them, what formula do you use to determine the number of permutations?

Front

n! / (n-k)!

Back

What is an exterior angle?

Front

An angle which is supplementary to an interior angle.

Back

What is the maximum value for the function g(x) = (-2x^2) -1?

Front

-1

Back

6w^2 - w - 15 = 0

Front

-3/2 , 5/3

Back

5x^2 - 35x -55 = 0

Front

[(7+ sqrt93) /2], [(7 - sqrt93) / 2]

Back

What is a set with no members called?

Front

the empty set, denoted by a circle with a diagonal through it.

Back

What is the measure of an exterior angle of a regular pentagon?

Front

72

Back

From a box of 12 candles, you are to remove 5. How many different sets of 5 candles could you remove?

Front

12! / 5!7! = 792

Back

1:1:sqrt2 is the ratio of the sides of what kind of triangle?

Front

An isosceles right triangle.

Back

Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?

Front

y = 2x^2 - 3

Back

If the 80th percentile of the measurements is 72degrees, about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth

Front

18

Back

For what values should the domain be restricted for the function f(x) = sqrt(x + 8)

Front

-8

Back

What is the name of set with a number of elements which cannot be counted?

Front

An infinite set.

Back

What is the set of elements which can be found in either A or B?

Front

The union of A and B.

Back

What is the "union" of A and B?

Front

The set of elements which can be found in either A or B.

Back

In similar hexagons, the ratio of the areas is 16:25. What is the ratio of their corresponding sides?

Front

4:5

Back

For similar triangles, the ratio of their corresponding sides is 2:3. What is the ratio of their areas?

Front

4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

Back

What is a finite set?

Front

A set with a number of elements which can be counted.

Back

What is the ratio of the sides of a 30-60-90 triangle?

Front

1:sqrt3:2

Back

Suppose you have a set of n objects, and you want to select k of them, but the order doesn't matter. What formula do you use to determine the number of combinations of n objects taken k at a time?

Front

n! / (k!)(n-k)!

Back

What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?

Front

cd

Back

Simplify the expression (p^2 - q^2)/ -5(q - p)

Front

(p + q)/5

Back

What is the intersection of A and B?

Front

The set of elements found in both A and B.

Back

What is the ratio of the sides of an isosceles right triangle?

Front

1:1:sqrt2

Back

Describe the relationship between 3x^2 and 3(x - 1)^2

Front

The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

Back

What transformation occurs if point C is reflected over the x-axis and then the y-axis?

Front

A reflection about the axis.

Back

(a^-1)/a^5

Front

1/a^6

Back

The ratio of the areas of two similar polygons is ...

Front

... the square of the ratios of the corresponding sides.

Back

The objects in a set are called two names:

Front

members or elements

Back

What is the set of elements found in both A and B?

Front

The interesection of A and B.

Back

What are the members or elements of a set?

Front

The objects within a set.

Back

How many 3-digit positive integers are even and do not contain the digit 4?

Front

288 (8 9 4)

Back

If 10800 is invested at a simple interest rate of 4%, what is the value of the investment after 18 months?

Front

$11,448

Back

What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?

Front

2

Back

Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?

Front

y = (x + 5)/2

Back

In a triangle where the two legs are 4 and 3, what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?

Front

2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6

Back

1:sqrt3:2 is the ratio of the sides of what kind of triangle?

Front

A 30-60-90 triangle.

Back

A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?

Front

13pi / 2

Back

x^2 = 9. What is the value of x?

Front

3, -3

Back

How many sides does a hexagon have?

Front

6

Back

Section 12

(12 cards)

Which is greater? 200x^295 or 10x^294?

Front

Relationship cannot be determined (what if x is negative?)

Back

A company places a 6-symbol code on each product. The code consists of the letter T, followed by 3 numerical digits, and then 2 consonants (Y is a conson). How many codes are possible?

Front

441000 = 1 10 10 10 21 * 21

Back

Find the surface area of a cylinder with radius 3 and height 12.

Front

90pi

Back

What is the surface area of a cylinder with radius 5 and height 8?

Front

130pi

Back

Which is greater? 27^(-4) or 9^(-8)

Front

27^(-4)

Back

There are 10 finalists for the school spelling bee. A first, second, and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?

Front

10! / (10-3)! = 720

Back

A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12, 18, and 30. What is the weight of the second brick?

Front

2.592 kg

Back

If 8 schools are in a conference, how many games are played if each team plays each other exactly once?

Front

28. n = 8, k = 2. n! / k!(n-k)!

Back

What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2, 4, and 6?

Front

75:11

Back

There are 10 finalists for the school spelling bee. A first, second, and third place trophy will be awarded. How many different people can get the three prizes?

Front

10! / 3!(10-3)! = 120

Back

Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?

Front

2^9 / 2 = 256

Back

A cylinder has surface area 22pi. If the cylinder has a height of 10, what is its radius?

Front

1

Back