Systems of Inequalities

Arithmetic Sequences

Characteristics of Linear Functions

Function Notation

Slope Intercept

100

y > -2x - 3

y < 1/2x +2

(0,0) Any coordinate point in the overlapping shade region

100

Write the explicit rule for each arithmetic sequence:

10, 15, 20, 25, …

a_{n}=5n + 5

100

The x values are called this of a function.

Domain

100

If f(x) = 2x-3, what is f(-2)

-7

100

What is the y-intercept of x + 4y = 24

6

200

y < - x - 3

y ≤ x + 1

(-5, -5)

200

Find the nth term for each arithmetic sequence:

a_{1} = -5, d = 4, n = 9

a_{9} = 27

200

The y values are called this of a function.

Range

200

If f(x) = -7x + 1

What is f(-1)

8

200

What is the slope of y=2x-5?

2

300

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

300

Find the indicated term(s) in each arithmetic sequence:

a_{15} for -3, 3, 9, …

a_{15} = 81

300

What is the domain of all linear functions?

All real numbers

300

f(x)=2x+9

What is f(2)?

13

300

What is x + 4y = 24 in slope intercept form?

y = -1/4x + 6

400

. Is (5,9) a solution to 12y - 4x ≥ 24?

Yes

400

Find the 43rd term of -124, -122, -120, …

a_{43} = -40

400

A linear function results in a graph that slants upward from left to right. What type of slope does it have?

Positive slope

400

f(s)=8s+15

What is f(10)

95

400

What is the y-intercept of 7x - 2y = 14?

2

500

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

500

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.

a_{n}=78n + 680

500

The end behavior of a linear function with negative slope.. As x approaches positive infinity...

y approaches negative infinity

500

The function f(x)=8s+15 represents the cost of ordering shirts. What is the domain

All real numbers

500

What is the slope of 3x - y = 4?

3