Equations

Inequalities

Functions

Rate of Change

Random!!

100

Solve

7-3x=25

-6

100

Solve:

20 < 5 - 3x

x < -5

or

-5 > x

100

d(x) = 7x^{2} + 3

What is d(10)?

d(10) = 703

100

Find the slope for these points:

(3, -8) (9, 16)

m = 4

100

What is the difference between an expression and an equation?

An equation has an equals sign, an expression does not.

200

You have a bank balance of $40. Each week, you put 7 dollars in. How much money would you have after 8 weeks?

$96

200

The wait time at a restaurant is between 25 and 40 minutes. Write this as a compound inequality.

25 < x < 40

or

40 > x > 25

200

Is this a function:

{(1,2), (3,7), (8,4), (1,6)}

No

200

Find the average rate of change for this table and explain what it means:

time temperature

3:00 26

7:00 39

average rate of change = 3.25/1

For every hour, the temperature increases by 3.25

200

What did this student do wrong?

3x - 4 + 2x = 2

__-3x __ __ -3x__

- 4 - x = 2

__+ 4__ __ + 4__

- x = 6

x = -6

They subtracted 3x instead of adding! When we are combining on one side of an equals sign we don't do the opposite operation.

300

4(6-x)=x+4

x=4

300

Solve:

6x - 4 <= 1 - 2(x - 8)

x <= 21/4

or

x <= 5.25

300

For an (x,y) graph, which variable is my domain and which is my range?

Domain = x

Range = y

300

You go to a carnival which has a $15 admission fee. At the end of the carnival you have spent $33 and have been on 12 rides. What is the unit rate (include units)?

(HINT: How many rides have you been on when you enter?)

Unit Rate = $1.50/1 ride

300

Write an equation for the following:

3 is half as much as x plus 4

3 = 1/2 (x + 4)

400

a=3, b=7, c=-1

Solve:

c^{2}-2a

------

b

-5/7

or

-0.71

400

-5 < 2x - 3 < 3

-1 < x < 3

400

y(x) = 10 - 5x

Find x when y(x) = 0

y(-2) = 0

400

Order these slopes from STEEPEST to FLATTEST:

-2

1/2

0.7

-2

0.7

1/2

400

Name a Jane Austin novel!

(There's a lot)

500

I want to grow a pumpkin big enough to be Cinderella's carriage. Through my calculations I have decided that a pumpkin weighing 1200 pounds will be large enough. If the pumpkin I'm growing is currently 800 pounds, and it grows an additional 20 pounds per month, how long until I can finally become a Disney Princess?

20 weeks

500

Catering for a party has a set up cost of $100. Each person who eats costs an extra $25. If my budget for the event is $440, what is the maximum number of people I can invite?

(write an inequality and solve)

100 + 25x <= 440

I can invite 13 people.

500

I'm driving to Six Flags and fill up my tank before I leave. It holds 14 gallons and I use 3 gallons every hour I drive. Write a function that shows how much gas I have left once I get to Six Flags.

f(h) = 14 - 3h

500

Every table at a wedding fits 8 people, which means for every 1 table, the amount of people increases by 8. What would be my unit rate?

Unit Rate = 8/1

500

Guess Ms. O's favorite color :)

Pink!