Equations
Solve
7-3x=25
-6
Solve:
20 < 5 - 3x
x < -5 or -5 > x
d(x) = 7x2 + 3
What is d(10)?
d(10) = 703
Find the slope for these points:
(3, -8), (9, 16)
m = 4
What is the difference between an expression and an equation?
An equation has an equals sign, an expression does not.
You have a bank balance of $40. Each week, you put 7 dollars in. How much money would you have after 8 weeks?
$96
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
Is this a function:
{(1,2), (3,7), (8,4), (1,6)}
No
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
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.
4(6-x)=x+4
x=4
Solve:
6x - 4 <= 1 - 2(x - 8)
x <= 21/4
or
x <= 5.25
For an (x,y) graph, which variable is my domain and which is my range?
Domain = x
Range = y
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
Write an equation for the following:
3 is half as much as x plus 4
3 = 1/2 (x + 4)
a=3, b=7, c=-1
Solve:
(c2-2a)/b
-5/7 or -0.71
-5 < 2x - 3 < 3
-1 < x < 3
y(x) = 10 - 5x
Find x when y(x) = 0
y(2) = 0
Order these slopes from STEEPEST to FLATTEST:
-2
1/2
0.7
-2
0.7
1/2
How many gifts are given in the 12 days of Christmas?
364 (78 on day 12)
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
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.
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
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
Your favorite thing to do at Christmas time.
This one kind of depends on you.