Transcript interval notation

“da, da, da, da, da, da, da….da, da, da,
da, DA, da, da, da, da, da….
• Get into your groups of 3
– Take your notebook
– Pencil
– Calculator
• Pick an animal that makes a recognizeable
sound
• Pick up whiteboard, marker, eraser (one per
group)
RULES
• Work the problems in your notebook!
• Everyone needs to work on the
problems, not just one SUPER
MATHLETE, and everyone else chills!
• Work the problem, hold it up and make
your “BUZZER.” If it’s right, you get
points, if it’s wrong someone else can
get the points!
• Winner picks the next category.
ALG 2 UNIT 1 REVIEW
Solving
Equations
Solving
Inequalities
Vocabulary
Variation
Functions
10
10
10
10
10
20
20
20
20
20
30
30
30
30
30
40
40
40
40
40
50
50
50
50
50
Solve the Equation below.
3(4 + 5x) = 15x - 4
Solve the equation below.
4
3  x  2
5
Solve the Equation below
10-15x = 55
Graph the equation below.
Then determine the slope
and the y-intercept.
y  4
Your car is broke down you need a tow
truck. You call a tow company and they
charge $50 initially to come pick up and
then $1.75 per mile. You only have $150
in your wallet and the car repair shop is
30 miles away. Write an equation and
solve.
Are you stranded or can you make
it to the car repair shop?
Solve the inequality and also
show the solution on a number
line. Then write your answer in
interval notation.
 15  5x  45
Solve the inequality below and
also show the solution on a
number line.
4x  1
 11
3
You budgeted $100 to improve your
swimming skills this summer.
It costs $50 to join the swim
association and $5 for each swim class.
Write and solve an inequality to find
the possible number of swim classes
you can take and stay within your
budget.
Solve the following inequality.
State the solution in builder
notation and on a number line.
–3(2 – 3x)  5(x – 2)
Write the solution set to the
following graph in interval notation
and inequality notation.
                   
Explain what a relation is
and give an example.
Tell whether
or not this
graph is a
function. Be
able to explain
how you know
and give a
counter
example.
y
x
Draw an example of a discrete
function and a continuous
function. Be able to explain the
difference between them both.
Explain the difference between
inequality notation and interval
notation in detail. Also give an
example of each.
Your explanation must include the
words brackets, parenthesis,
included, not included, open dot,
closed dot, infinity..
Draw two pictures of graphs
that have an infinite domain and
an infinite range. Be able to
explain what domain and range
are.
Draw an example of the
direct variation graph and
give the two formulas you
can use to solve a direct
variation problem.
Give a real life example of
something that has direct
variation and something
that has inverse variation.
Be able to explain WHY?
(think about the definitions
we discussed in class)
Find y when x = 1.5, if y
directly as x and y = -16
when x = 6
The amount of paint mixture
varies directly with its two component
parts.
If it takes 30 ounces of Part A
mixed with 45 ounces of Part B,
how much Part A will you need to mix
with 90 ounces of Part B?
The amount of Pressure varies
inversely with its Volume.
If a gas has a pressure of 25 psi
when its volume is 60 cubic inches,
find the pressure if the volume
changes to 95 cubic inches.
{( 9,1), (3,0), (3,3), (4,8)}
A) Describe the domain and
range of the relation.
B) State whether it is
discrete or continuous data.
C) Tell whether it is a
function or not and why?
Describe the domain and range of
the graph below in interval notation
AND inequality notation.
Joey was taking
his Algebra 2
test and wrote
that the domain
of this graph
was [-2,2].
Explain if Joey
is correct in his
thinking, why or
why not?
State the domain
and range of this
graph in interval
notation and
inequality
notation.
Also state
whether the
graph is a
function or not.
How do you
know?
State the domain
and range of this
graph in interval
notation and
inequality
notation.
Also state
whether the
graph is a
function or not.
How do you
know?