Systems of Inequalities
y > -2x - 3
y < 1/2x +2
(0,0) Any coordinate point in the overlapping shade region
Write the explicit rule for each arithmetic sequence:
10, 15, 20, 25, …
an=5n + 5
The x values are called this of a function.
Domain
If f(x) = 2x-3, what is f(-2)
-7
What is the y-intercept of x + 4y = 24
6
y < - x - 3
y ≤ x + 1
(-5, -5)
Find the nth term for each arithmetic sequence:
a1 = -5, d = 4, n = 9
a9 = 27
The y values are called this of a function.
Range
If f(x) = -7x + 1
What is f(-1)
8
What is the slope of y=2x-5?
2
Marco needs to purchase new sports equipment, and he would like to purchase new basketballs and new soccer balls. He has $450 in his equipment budget and he would like to buy at least 15 balls. Soccer balls (x) are $15 each and basketballs (y)are $30 each.
Write an inequality that shows he can’t spend more than $450.
15x + 30y ≤ 450
Find the indicated term(s) in each arithmetic sequence:
a15 for -3, 3, 9, …
a15 = 81
What is the domain of all linear functions?
All real numbers
f(x)=2x+9
What is f(2)?
13
What is x + 4y = 24 in slope intercept form?
y = -1/4x + 6
. Is (5,9) a solution to 12y - 4x ≥ 24?
Yes
Find the 43rd term of -124, -122, -120, …
a43 = -40
A linear function results in a graph that slants upward from left to right. What type of slope does it have?
Positive slope
f(s)=8s+15
What is f(10)
95
What is the y-intercept of 7x - 2y = 14?
2
Zion is buying decorations for Homecoming. Balloons cost $7 a pack and streamers are $12 a pack. If the decorating budget has $250, write an inequality for the cost of balloon and streamers that they can buy
7b + 12s ≤ 250
Write the formula for the sequence that represents the following scenarios:
After making his first deposit, Paul has $758 in his checking account. The next month, the balance is $836. The balance after the third month is $914.
an=78n + 680
The end behavior of a linear function with negative slope.. As x approaches positive infinity...
y approaches negative infinity
The function f(x)=8s+15 represents the cost of ordering shirts. What is the domain
All real numbers
What is the slope of 3x - y = 4?
3