Transcript DAY 49 - 11.01.10 - Solving Inequalities

Inequalities (Day 49)
Bellringer (Day 49)
Number
Operations
Given the following number line, which letter would be the
27for
best approximation
?
Algebra
128, 64, 32, 16, _____, _____, ______, ______
Write the next four numbers in the pattern and
explain how you got them.
Geometry &
Measureme
nt
If two rectangles 27have the same area, must
they have the same perimeter? Prove it.
Data/Statisti
cs/
Probability
Find the median of this data set.
138, 115, 112, 124, 118, 120, 170, 130, 102, 146, 109
Potpourri
Tom Terrific has a garden in the shape of a rectangle.
He wanted to plant a tree in the exact center of the
(Daya49)
garden. WhatInequalities
would be
way that he could find the
center without using any measurement?
Bellringer (Day 48)
Number
A Operations
Algebra
B
Geometry &
C Measurement
D
Bill is three years less than twice Jose's age. If Jose
is k, what expression represents Bill's age in years?
How many grams are in 2 kilograms?
Data/Statistics/ John writes each letter in the word RHINOCEROS one time
Probability
on a separate card and puts the card in a bag. Then he
draws one card without looking. Find the probability of
drawing O? R or S?
Potpourri
E
Order the following integers from least to greatest.
5, -13, 78, 0, -34, -3, 14
Conrad’s Taxi Service chargers $1.50 for the first mile and
$.90 for each additional mile. How much money will Mr.
Kolp owe after traveling 11 miles?
Inequalities (Day 49)
Take a stand if . . .
you got tons of candy yesterday.
you know what six tenths times two is.
you would rather go to a hanted house or
work at a haunted house.
you know what four hundred times nine is.
your favorite football team won on Sunday.
you know what one and two-thirds is as an
improper fraction.
Inequalities (Day 49)
Inequality is a mathematical sentence formed by
placing an inequality symbol between two
expressions. (Like an equation, but with >,<)
Solution of an inequality is a set of numbers you
can substitute for a variable to make the
statement true
y>7
5 + g < 20
r < or = 0
y = All numbers
greater than 4
-5
-4
-3
-2
-1
0
1
2
t = all numbers
less than 15
3
4
5
6
7
8
9
10
r = all numbers
-2 or smaller
11 12 13 14 15 16 17 18 19
Inequalities (Day 49)
20
21
22
To solve an inequality…
treat it just like an equation and follow your
two rules:
- Get the variable alone
- Balance (do the same to both sides)
- NEW…When multiplying or dividing by
negative, reverse the inequality
Inequalities (Day 49)
-9 + r > 12
+9
+9
r > 21
-5
-4
-3
-2
-1
0
1
2
3
a - 18 < -5
+18 +18
a
< 13
4
5
6
7
8
9
10
11 12 13 14 15 16 17 18 19
Inequalities (Day 49)
20
21
22
4f </= 28
4
4
f </= 7
-5
-4
-3
-2
-1
0
-3x > -33
-3
-3
x > 11
x < 11
1
2
3
4
5
6
7
8
9
10
11 12 13 14 15 16 17 18 19
Inequalities (Day 49)
20
21
22
Inequalities (Day 49)