Proportional Relationships
What is the form of a proportional relationship?
hint: include the variables k,x,and y
y=kx
The word percent can be broken down into its parts
per:
cent:
What do these mean?
per: for each
cent:100
What 3 types of numbers are included in the umbrella rational number?
integers
fractions
decimals (which end or have a repeating pattern)
What is the difference between expressions, equations and inequalities?
Expressions do not have an equals or inequality symbol. Equations have = and can be solved.
Inequalities have <,>, etc
What is 2/7 of 49
14
The k in a proportional relationship y=kx represents what?
The constant of proportionality
What is the percent change formula?
hint: amount of change and original amount are included in this formula
What is an irrational number?
A number which cannot be written as the ratio of two integers.
These numbers never end.
Solve for x
5x+3=18
x=3
P(heads, heads) on 2 flips of a coin
1/4
What is the unit rate (in mph) if Quenton runs 4.5 miles in half an hour?
9 miles per hour
A bike, which usually costs $65 goes on sale for 25% off. What is the bikes sale price?
$48.75
Pi is considered what type of number?
irrational
Solve for y:
-2y+1>7
y<-3
What is the difference between experimental and theoretical probability?
Experimental: based on actual trials
theoretical: based on number of possibilities
Taylor and Juan are training to run a race. Taylor runs 3 miles in 1/3 hour. Juan runs 5 miles in 3/4 hour. Who is faster?
Taylor.
To make a profit, a store marksup the products by 12%. If the store buys a product for $5, how much will they sell it for?
$5.60
When given a problem such as...
7+8x3-4/3
you must follow...
order of operations!
The only difference when solving inequalities happens when?
multiply or divide by a negative, flip sign
What is the area formula for a triangle?
a=1/2bh
A proportional relationship, when graphed, has 2 qualities. Name these 2 things.
1. Goes through the origin (0,0)
2. Forms a straight line.
If I want to find the total cost of an item including 6% tax in one step. What number would I multiply by?
1.06
Order of operations is....
PEMDAS
Simplify:
3x-4+2x+1
5x-3
What is the ratio which makes pi?
circumference/diameter of a circle