Absolute Value
f(x)=|x|. What is the equation of function after a horizontal shift right 2 units and a vertical shift down 3 units?
g(x)=|x-2|-3
Write the following numbers in order from least to greatest:
3.587, pi, sqrt(8), 3.333333...
sqrt(8), pi, 3.333333..., 3.587
What is the slope of a horizontal line? What is the slope of a vertical line?
0, not defined
According to the graph, what is the solution to the system of equations?
(1,-3)
Using the graph, give one ordered pair that is a solution, and one ordered pair that is NOT a solution
solutions must be in the overlapping shaded region
Solve the equation 2|x-3|=10
x=8 or x=-2
Which of the following numbers are rational?
sqrt(36), 67.345555555555..., 4.5624762..., sqrt(48)
sqrt(36), 67.345555555555...
What is the equation of the line shown in the graph?
f(x)=-2x+6
The graph shown has a solution at (20,20). What does that solution mean in the context of the scenario?
after 20 minutes both companies are both making $20.
Graph the solutions to the inequality:
-4x-3>-2(3x-1)
x>5/2
DAILY DOUBLE - make your wager!
A lizard's body temperature should not be more than 15 degrees warmer or colder than 30 degrees Celsius. Write an absolute value inequality to represent this situation.
|x-15|<30
Define integer
A positive or negative number with no decimal point, and zero.
What is the range of the relationship? Is the relationship a function?
{(-2,3), (-1,4), (9,0), (-1,5), (0,9).
{3, 4, 0, 5, 9} not a function since -1 gets mapped to two y values.
Solve the system using elimination:
3x+6y=120
2x+5y=90
(20,10)
A store requires that Ayumi spends $4 or more if she wants to pay using a debit card. Donuts cost $.80 each, a bottle of OJ costs $1.20. If d represents the numbers of donuts Ayumi would need to buy to pay for 1 OJ and the donuts using a debit card, what is the inequality?
.8d+1.2>4
What is the equation of the absolute value graph shown?
2|x|+3
What is the most specific name for the number 3/4+sqrt(12)?
Irrational number
According to the graph, estimate sales if the temperature is 21 degrees.
About $490
Daily Double - make your wager!
Solve the system using substitution:
2x+5y=19
y=3x-3
(2,3)
Keith has $400 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets.
1.) Write an inequality that represents Keith's situation.
2.) How many weeks can Keith withdraw money from his account and still meet his goal?
1.) 500-25x>=200
2.) 12 weeks or less
Solve the inequality 2|2x-3|+3<25
-4<x<7
If x=3/4, which greater, pi*x or x^2?
pi*x
Describe the behavior of this graph for each part: increasing/decreasing/horizontal
increasing, decreasing, increasing
Solve the system by elimination or substitution:
12x+y=18
7x-8y=32
x=176/103, y=-258/103
Given the two inequalities, which region would be the overlapping shaded region? A, B, C, or D?
D