Flashcards in math midterm 2015 Deck (75):

0

## Numbers are divided into eight categories. List them

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

1

## 1,2,3,4,...,infinity

### Natural

2

## Symbol for Natural numbers

### N

3

## 0, 1, 2, 3,…, Infinity

### Whole

4

## What is the symbol for whole numbers

### W

5

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

### Integer

6

## What is the symbol for integer

### Z

7

##
Fractions whose decimals either terminate or repeat

Ex) .25 or .7777777778

### Rational

8

## What is the symbol for a rational numbers

### Q

9

## Fractions is decimals do not repeat or terminate

### Irrational

10

## All numbers except imaginary numbers

### Real numbers

11

## Numbers containing an ℹ️

### Imaginary

12

## ℹ️equals the _________ and ℹ️squared equals ___

### square root of negative one; -1

13

## Number is divisible by one and itself

### Prime numbers

14

## In the product rule you blank like bases and blank exponents

### Multiply; Add

15

## In the quotient rule you blank like bases and blank exponents

### Divide; Subtract

16

## In what rule did you multiply the powers (exponents)

### Power rule

17

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

### Change floors

18

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

### Rational exponents

19

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

### One

20

## What is Valentine's Day and St. Patrick's Day

###
The square root of two equals 1.4

The square root of three equals 1.7

21

## To add and subtract fractions what do you do

### Find common denominator and add the numerator

22

## To multiply fractions…

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

23

## How do you divide fractions

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

24

## What is the acronym for changing improper fractions to mix numbers

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

25

## How do you change improper fractions to mixed numbers

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

26

## What is the base form of scientific notation

### a x 10^n

27

## In scientific notation, "a" must be between……

### One and nine

28

## If the exponent is positive, move the decimal to…

### The right

29

## Is the exponent is negative, move the decimal to…

### The left

30

## Change scientific notation to a blank when you can

### Decimal

31

## Logx y=b means

### x^b=y

32

## Log32=5 means x^5=32 and solve

###
x^5=2^5

x=2

33

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

### Like bases; exponents

34

## A line equals

### 180°

35

## All triangles are

### 180°

36

## Supplementary angles equal

### 180°

37

## Circles equal

### 360°

38

## A right angle equals

### 90°

39

## Complementary angles equal

### 90°

40

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

### (n -2) x 180°

41

## The "n" in the interior angle measure of a polygon formula represents

### The number of sides of a polygon

42

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

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

43

## Which triangle has two equal sides and two equal angles

### Isosceles triangles

44

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

### Angles

45

## Which triangle has three equal sides

### Equilateral

46

## In an equilateral triangle, all angles equal

### 60°

47

## Only use pythagorean theorem in _____ triangles to find the _________

### Right; missing side length

48

## What is the Pythagorean theorem formula

### a^2 + b^2 = c^2

49

## A and B represent blank and form blank

### The legs of a triangle; right angle

50

## C represents blank which is the side opposite of the blank

### Hypotenuse; right angle

51

## Three numbers his lengths can form a right angle

### Pythagorean triples

52

## What are the three most common Pythagorean triples

### 3–4–5, 5–12–13, 7–24–25

53

## What are the two special right triangles

### 45 – 45 – 90, and 30 – 60 – 90

54

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

### S; S x square root of two

55

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

### S; S x square of three; 2S

56

## What is the standard form of linear equations

### Ax + By = C

57

## How do you graph a linear equation

### Find the intercepts

58

## How do you find the intercepts of linear equations

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

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

59

## What is the most common form of linear equations

### Slope intercept: y = mx + b

60

## How do you graph slope intercept

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

61

## What does m represent in slope intercept

### Slope

62

## What does B represent and slope intercept

### Y intercept

63

## What is the formula for slope

### M= y2 - y1 divided by x2 - x1

64

## What is the midpoint formula

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

65

## What is the distance formula

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

66

## What is the formula for a parabola

### y = x^2

67

## What is the equation of a circle

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

68

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

### (H, K) = center of the circle

69

## What is the acronym for remembering trig functions

### SOHCAHTOA

70

## Sin theta =

### Opposite over hypotenuse

71

## Cos theta =

### Adjacent over hypotenuse

72

## Tan theta =

### Opposite over adjacent

73

## What are the Pythagorean identity equation

###
sin^2 theta + cos^2 theta = 1

tan^2 theta – sec^2 theta = 1

csc^2 theta – cot^2 theta = 1

74