Linear Functions
What is slope-intercept form?
y=mx+b
How do you know what point is the solution to a system of equations.
An equation is shown.
f(x)=5x
find f(8)
390,625
y=2(x-7)2+4
What is the vertex?
(7,4)
What are the 3 types of functions we have looked at this year?
Linear, quadratic, exponential
An equation is given.
5y-2x=5
Create an ordered pair that represents one point on the graph of the equation.
Any point that is on the line
The equations of two functions are given.
f(x)=3x+4
g(x)=7x-2
What value of x makes the equation f(x)=g(x) true?
(1.5, 8.5)
The number of bacteria on a microscope slide triples every hour. There are initially 4 bacteria present.
Create an equations to model the growth after x hours.
y=4x3x
How many solutions does the following equation have?
0=x2-2x+7
None
The first four terms of an arithmetic sequence are given.
15, 18, 21, 24, …
What is the 51st term?
165
Draw a graph that is linear and has a negative slope.
Check their answers
A system of equations is given.
y=4x+11
y=1/4x-1/4
What is the solution of the system?
(-3,-1)
The population of a species is decreasing by 1/5 every year. The population this year was 250,000. What will the population be in 5 years?
80
What is the maximum value of the function
y = -2x2 -4x +10
(-1,12)
What two numbers have a sum of 173 and a difference of 21?
97 and 76
To start her collection of comic books, Joylin’s uncle gives Joylin a box of comic books and several monthly subscriptions to comic books. The number of comic books in her collection, y, after x months is modeled by the equation shown.
y=40+6x
What does the number 40 represent in the equation?
The number of comic books in the box she received
A total of 330 children and adults attended a school play. There were 21 times as many children in attendance as there were adults.
The situation is modeled by the given system of equations, where a represents the number of adults and c represents the number of children.
c=21a
a+c=330
How many children attended the play?
315
A bank account increases at a percentage of 2% each year. If the account currently has $75,000 how much will it have after 7 years?
$86,151.43
A system of equations is given
y=x2-6x-15
y= -4x +9
What is one solution to the system of equations?
(-4,25) or (6,-15)
The first four terms of an arithmetic sequence are given.
9, 13.5, 20.25, 30.375, …
What is the 11th term of the sequence?
518.99
Madison bought b pounds of bananas and p pounds of pears and spent a total of $10.38. The price of bananas is $0.60 per pound. The price of pears is $1.74 per pound.
Create an equation that models the total amount of money that Madison spends on fruit.
10.38=0.60b+1.74p
A system of equations is given.
y+2=3(x-1)
y= -2x+10
What is the solution to the system?
(3,4)
A car was bought for $45,000 Each year the value of the car decreases at a rate of 2.5% What is the value of the car after 3 years?
$41,708.67
The path a rocket launcher takes is modeled by the equation. y=-16x2+79x+5
How long will it take the rocket to hit the ground?
5
What is the solution to the system of equations.
y=3x-4
y=x2-2
(1,-1)