Activity 1
3,5
What is the equation for Slope Intercept form of a function
y= mx +b
How many solutions dos the system of equations have
y=4x +2
y=3x +3
One
The limit of a function is 5(included) and the maximum is 12( not included). Write it in interval notation.
[5,12)
g(f(x)) can be rewritten as what
(g o f)(x)
In the equation 2|x-1|> or = 4 on a number line, would the dots be open or closed and would the lines come together or apart
Closed and apart
How do you find slope of a line
Change in x over change in y
How many solutions does the system of equations have
y= 5x -1
2y+4=10x
None
the range of an equation is (3, 9]. write the range in set notation
{y|y€ R, 3<y< or =9)
f(x)= 3x+ 2
g(f)= x2
If you plug in 3 to the first equation, what do you get out of the second
121
How do you graph the absolute value equation |x-2| >3 on a number line
<————-o. O——————->
Joe needs at least 250 headphones but only has $6. Will he be able to purchase enough that he needs
Yes
When you multiply a 2x2 matrix by it’s inverse you get
(1. 0)
(0. 1)
In the piecewise defined function what is the y value at 4 x
x-5 if x<8
2x+3 if x> or = 8
-1
Joe earns $8 an hour at his job
His friend Bo earns $10 an hour at the same job. How much is their employer spending to pay them for 3 hours of work
$54
Joe buys models for $5 dollars, makes them and sells them for $8 dollars and he has to buy supplies for $12. He is $60 dollars behind on rent this month. How many models does he need to sell to pay his rent.
24 models.
What are the constraints of the situation in the following word problem. Joe can have no less than 2 gummy vitamins per day and no more than 4 gummy vitamins per day or he will get sick. If he takes 4 gummy vitamins he can’t have anymore than 3 meals the next day.
2< or = x < or = 4
If x = 4 y must be < or = 3
Solve the system using elimination
2x-4y=8
x-3y=-1
(Show work for proof of no cheating).
(2, -1)
What would the new equation be if you transferred the equation f(x)= |x| up 2 and left 6
f(x)=|x+6| +2
f(x)=3x+2
d(f)=2x+5
Turn the system of equations into a composite function.
d(f(g))=6x+9
How do you place the equation |3x-10|-5>or= -1 on a number line
<—-1—*. 0 5 *—-6—->
Joe is going to a JoJo Siwa concert. A signed poster is $50, a cd costs $5 and a Signature bow is $10. His ticket costs $200. He has $400 before buying the ticket that he can spend. Write a linear inequality that represents the situations.
Double points bonus: If he Is for sure going to buy a poster and 8 bows. How many CDs can he buy
400> or = 50s + 5c +10b +200
7 CDs
Solve the system of equations using Substitution
x+y+z=6
2x+y+2z=14
3x+3y+z=8
(3,-2,5)
What would the new equation be if the equation below was vertically stretched by a factor of 5 and reflected over the y axis:
f(x)=|x|
f(x)= 5|-x|
Joe can beat 2 video games every hour. For every video game he beats he gets a 5% worse grade in all his classes. Write a composite function to show what percent is knocked off his grades in x hours. Then solve for what percent gets knocked off his grades after an 8 hour gaming marathon.
g(v(x))= 10x
80%