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Allie's Flashcardlet > math midterm 2015 > Flashcards

math midterm 2015 Flashcards

0
Q

1,2,3,4,…,infinity

A

Natural

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1
Q

Numbers are divided into eight categories. List them

A

Natural, whole, integer, rational, irrational, real, imaginary, and prime

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2
Q

Symbol for Natural numbers

A

N

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3
Q

0, 1, 2, 3,…, Infinity

A

Whole

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4
Q

What is the symbol for whole numbers

A

W

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5
Q

-infinity,….., -2, -1, 0, 1, 2,…..Positive infinity

A

Integer

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6
Q

What is the symbol for integer

A

Z

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7
Q

Fractions whose decimals either terminate or repeat

Ex) .25 or .7777777778

A

Rational

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8
Q

What is the symbol for a rational numbers

A

Q

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9
Q

Fractions is decimals do not repeat or terminate

A

Irrational

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10
Q

All numbers except imaginary numbers

A

Real numbers

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11
Q

Numbers containing an ℹ️

A

Imaginary

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12
Q

ℹ️equals the _________ and ℹ️squared equals ___

A

square root of negative one; -1

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13
Q

Number is divisible by one and itself

A

Prime numbers

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14
Q

In the product rule you blank like bases and blank exponents

A

Multiply; Add

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15
Q

In the quotient rule you blank like bases and blank exponents

A

Divide; Subtract

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16
Q

In what rule did you multiply the powers (exponents)

A

Power rule

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17
Q

When you have a negative exponent, what do you do to make it positive

A

Change floors

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18
Q

With a blank, the denominator goes to the hoopy-hoo and the numerator becomes the power

A

Rational exponents

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19
Q

With a zero exponent, anything raised to the zero power is

A

One

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20
Q

What is Valentine’s Day and St. Patrick’s Day

A

The square root of two equals 1.4

The square root of three equals 1.7

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21
Q

To add and subtract fractions what do you do

A

Find common denominator and add the numerator

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22
Q

To multiply fractions…

A

You multiply across the numerator and the denominator her and simplify your answer

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23
Q

How do you divide fractions

A

When dividing fractions don’t ask why flip the second and multiply

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24
Q

What is the acronym for changing improper fractions to mix numbers

A

MA! (multiply up to the left, add up to the right)

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25
Q

How do you change improper fractions to mixed numbers

A

Divide the numerator by the denominator, put the remainder over the denominator

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26
Q

What is the base form of scientific notation

A

a x 10^n

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27
Q

In scientific notation, “a” must be between……

A

One and nine

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28
Q

If the exponent is positive, move the decimal to…

A

The right

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29
Q

Is the exponent is negative, move the decimal to…

A

The left

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30
Q

Change scientific notation to a blank when you can

A

Decimal

31
Q

Logx y=b means

A

x^b=y

32
Q

Log32=5 means x^5=32 and solve

A

x^5=2^5

x=2

33
Q

If a variable is in the exponent, Find blank and set the blank equal

A

Like bases; exponents

34
Q

A line equals

A

180°

35
Q

All triangles are

A

180°

36
Q

Supplementary angles equal

A

180°

37
Q

Circles equal

A

360°

38
Q

A right angle equals

A

90°

39
Q

Complementary angles equal

A

90°

40
Q

To find the interior angle measure of a polygon use this formula

A

(n -2) x 180°

41
Q

The “n” in the interior angle measure of a polygon formula represents

A

The number of sides of a polygon

42
Q

P equals; A equals; C equals; r equals; d equals; h equals; L equals; w equals

A

P = perimeter; A = area; C = circumference; r = radius; d = diameter; h = height; L = length; w = width

43
Q

Which triangle has two equal sides and two equal angles

A

Isosceles triangles

44
Q

If two sides of an isosceles triangle are congruent, the two opposite blank are also congruent

A

Angles

45
Q

Which triangle has three equal sides

A

Equilateral

46
Q

In an equilateral triangle, all angles equal

A

60°

47
Q

Only use pythagorean theorem in _____ triangles to find the _________

A

Right; missing side length

48
Q

What is the Pythagorean theorem formula

A

a^2 + b^2 = c^2

49
Q

A and B represent blank and form blank

A

The legs of a triangle; right angle

50
Q

C represents blank which is the side opposite of the blank

A

Hypotenuse; right angle

51
Q

Three numbers his lengths can form a right angle

A

Pythagorean triples

52
Q

What are the three most common Pythagorean triples

A

3–4–5, 5–12–13, 7–24–25

53
Q

What are the two special right triangles

A

45 – 45 – 90, and 30 – 60 – 90

54
Q

In a 45-45-90 triangle the legs are blank in the hypotenuse is blank

A

S; S x square root of two

55
Q

In a 30-60-90 triangle, the short leg equals blank, the long leg equals blank, and the hypotenuse equals blank

A

S; S x square of three; 2S

56
Q

What is the standard form of linear equations

A

Ax + By = C

57
Q

How do you graph a linear equation

A

Find the intercepts

58
Q

How do you find the intercepts of linear equations

A

To solve for the X intercept, plug zero in for y.

To solve for the Y intercept, plug zero in for x.

59
Q

What is the most common form of linear equations

A

Slope intercept: y = mx + b

60
Q

How do you graph slope intercept

A

Plot the Y intercept and you slope to find the second point

61
Q

What does m represent in slope intercept

A

Slope

62
Q

What does B represent and slope intercept

A

Y intercept

63
Q

What is the formula for slope

A

M= y2 - y1 divided by x2 - x1

64
Q

What is the midpoint formula

A

(x2 + x1 / 2, y2 + y1 / 2)

65
Q

What is the distance formula

A

D = square root of (y2 - y1)^2 + (x2 - x1)^2

66
Q

What is the formula for a parabola

A

y = x^2

67
Q

What is the equation of a circle

A

(x - h)^2 + (y - k)^2 = r^2

68
Q

What do H and K represent in the formula of a circle

A

(H, K) = center of the circle

69
Q

What is the acronym for remembering trig functions

A

SOHCAHTOA

70
Q

Sin theta =

A

Opposite over hypotenuse

71
Q

Cos theta =

A

Adjacent over hypotenuse

72
Q

Tan theta =

A

Opposite over adjacent

73
Q

What are the Pythagorean identity equation

A

sin^2 theta + cos^2 theta = 1
tan^2 theta – sec^2 theta = 1
csc^2 theta – cot^2 theta = 1

74
Q

Which is better math or English

A

English

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