Math

Question 1

Integers

Answer 1

positive, negative, and zero whole numbers

Question 2

integer zero even or odd

Answer 2

neither or even

Question 3

even+even=

Answer 3

even

Question 4

odd+odd=

Answer 4

even

Question 5

odd+even=

Answer 5

odd

Question 6

evenXeven=

Answer 6

even

Question 7

oddXodd=

Answer 7

odd

Question 8

oddXeven=

Answer 8

even

Question 9

to find the least positive integer divisible by a number

Answer 9

1. eliminate smaller numbers (if one of the numbers is 4, eliminate 2)
2. multiply them all together and check to see if thats the lowest possible

Question 10

when you divide any positive integer by three

Answer 10

the remainder must be less than or equal to 2

Question 11

prime number

Answer 11

number whose only factors are 1 and itself

Question 12

union of sets

Answer 12

all the numbers from both in one, duplicates not repeated

Question 13

intersection of sets

Answer 13

one the numbers that are repeated in both sets

Question 14

combinations problems (how many combinations of this are possible)

Answer 14

multiply the number of choices from each section together

Question 15

permutations and combinations

Answer 15

combinations that are limited after every round. ex. theres a four letter password but no letter can be used more than once. so do 26x25x24x23. order doesn’t matter.

there are 12 students in a class, 2 will be chosen, how many different pairs? 12X11 then divide by 2 since they can be chosen 2 different ways

Question 16

difference of two squares a^2-b^2

Answer 16

(a+b)(a-b)

Question 17

when an exponent is raised to a second exponent like (n^3)^6

Answer 17

multiply them

Question 18

working with “unsolvable” equations

Answer 18

if an equation is unsolvable, factor it and plug in the value given

Question 19

inversely proportional word problem

Answer 19

a=k/b, plug in numbers you know to find k, plug in the rest to find your answer

Question 20

a car traveling at an average rate of blank can make the trip in blank, how much longer would it be going at this rate

Answer 20

use distance formula

Question 21

complementary angles

Answer 21

two angles whose measures have a sum of 90degrees

Question 22

30 60 90 triangles legs

Answer 22

short leg=x
long leg=xroot3
hypotenuse=2x

Question 23

45 45 90 triangle legs

Answer 23

equal legs=x

hypotenuse= xroot2

Question 24

3-4-5 triangles

Answer 24

• the sides have a ration of 3:4:5
• short leg=3x
• other leg=4x
• hypotenuse=5x
• so if x=2 then the leg lengths are 6, 8, and 10

Question 25

congruent triangles

Answer 25

same size and shape

Question 26

similar triangles

Answer 26

same angles, different size but ratio of sides are the same

Question 27

two triangles are similar if

Answer 27

- two pairs of corresponding angles each have the same measure - one pair of corresponding angles has the same measure, and the pairs of corresponding sides that form those angles have lengths that are in the same ratio

Question 28

the sum of any two sides of a triangle

Answer 28

is greater than the length of the third side

Question 29

parallelogram

Answer 29

- slanted rectangle | - equal opposite angles

Question 30

rectangles

Answer 30

type of parallelogram

Question 31

squares

Answer 31

type of rectangle

Question 32

square sliced in half

Answer 32

two 45-45-90 triangles

Question 33

area of a triangle

Answer 33

(1/2) bh

Question 34

area of a parallelogram

Answer 34

length times height

Question 35

regular polygon

Answer 35

a polygon whose sides all have the same length and whose angles all have the same measure

Question 36

angles in a polygon

Answer 36

180(n-2)

Question 37

arc

Answer 37

- piece of circle with rounded edge (like pie piece) - number of degrees in the arc equals the number of degrees in the angle formed by the two radii at the center of the circle called the central angle - aka curved angle in degrees equals the degree

Question 38

tangent

Answer 38

line that touches circumference at one point, straight

Question 39

circumference equation

Answer 39

2pir or pid

Question 40

area of a circle

Answer 40

pir^2

Question 41

volume of a prism

Answer 41

height times area of its base

Question 42

volume of a right circular cylinder

Answer 42

V=pir^2h

Question 43

distance formula

Answer 43

``` d= square root (X2-X1)^2+(Y2-Y1)^2 distance= rate x time ```

Question 44

Point of symmetry

Answer 44

- point of rotation | - doest change the point or the shape

Question 45

weighted average

Answer 45

the average of two or more groups that do not all have the same number of members. (#x members)+(#x members) over the total number of people ex. 15 members had an average score of 500, the remaining 10 had an average of 550. (500X15)+(550X10) over 25= 520

Question 46

average of algebraic expressions

Answer 46

average/arithmetic mean of 3x+1 and x-3 is just (3x+1)+(x-3) over 2

Question 47

using averages to find missing numbers

Answer 47

- sum of a list of values over number of values on the list=average - average X number of values = sum of values - once you ring the sum of the second set of values, subtract it from the sum of the first

Question 48

independent probability

Answer 48

the outcome of either event has no effect on the other. multiply the probably of each event together to get total probability