Linear Functions
Draw an example of a linear function on a graph.
*See student work*
Name the mathematical word that best describes this: I am always me and nothing different!
Examples: 1, 2/3, pi, 129
constant term
Without using any paper (just your brains!)
What is 1/3rd of 1/8?
Explain your answer.
1/24
If I have 1/8 of a pie as a slice, and I break one slice into thirds, then the WHOLE pie now has 24 slices. So 1/3 of 1/8 is 1/24.
It costs $10 to buy a movie pass for the year, plus $2 per movie you go to see at the theater.
How much would it cost you in one year if you went to 3 movies?
$16
2(3)+10
What is the '2' called?
3x2
The exponent
Without using paper (just your brains!)
What is 7% of 50?
Explain your answer.
3.5
(7% of 50 is 50% of 7 [which is 3.5])
C = 500 - 7n
Identify the independent variable and the dependent variable.
Independent - number of people who attend the picnic
Dependent - the cost of the picnic
What is the 'x' called?
3x2
The base
OR the unknown variable
Without using ANY paper (just your brains!) answer the following question:
Which two numbers are CLOSEST to each other?
(1/4) , (1/2) , (2/3)
Explain why you know you are right.
(1/2) and (2/3) are closest to each other.
Convert to decimals:
1/4=.25
1/2=.5
2/3=.66666
What is the formula for a linear equation?
y=mx+b
What is the '3' called?
3x2
The coefficient
WITHOUT using any paper (just your brain!), what is 18 x 5?
Amongst your group, explain at least 2 ways to solve this problem in your head.
18x5=90
18x10 = 180, 180/2=90
10x5=50 + 8x5=40 [50+40] = 90
9x5=45 45x2 = 90
How do you find the slope of a linear equation? (Give the formula!)
(1) rise/run
(2) change in y/change in x
(3) y2-y1 / x2-x1
Name the following three types of equations/functions:
y=3x+10
y=4x2+6x+2
y=3(10)x
1.) Linear
2.) Quadratic (would also accept Parabola)
3.) Exponential
WITHOUT using any paper (just your brain!), which number is GREATER?
(12/17) or (5/8)?
Explain how you know you are correct.
12/17 is greater