Transcript Warm – Up

Week 9/12 – 9/16
Monday – Pretest
Tuesday – Translate notes and practice
Wed- Translate classwork, remediation
Thurs – Distributive notes and practice
Friday – Quiz Translate and distributive
Homework Wk of 9/12 – 9/16
Homework Wk of 9/12 – 9/16
Copy or Print out. Show all work.
Fold paper in half, questions on left and answers on right.
Write a math expression for each sentence.
1. Bacteria culture, b, doubled
2. Triple John’s age y
3. A number, n, plus 4
4. Quantity, t, less 6
5. 18 divided by a number, x
6. n feet lower than 10
7. 3 more than p
8. The product of 4 and m
9. A number, y, decreased by 20
10. 5 times as much as x
Simplify using distributive property.
11. 6 (w + z)
12. A(8 + b)
13. 2(4 + 5)
14. 6 (x – 9)
15. y(6 – m)
Review
16. What are the 5 parts of a box and whisker plot.
Vocabulary – Define each word
17. Coordinate Graph
18.Coordinate Pair
19. Dependent Variable
20. Independent Variable
Wednesday
Warm – Up: Copy and answer.
1.What is the sum of 6 and 8?
2.What is the difference between 8 and 6?
3.What is the product of 8 and 6?
4.What is the quotient of 8 and 4?
Understanding Algebra Word
Problems
Words Indicating Addition
• And
• Increased
• More
• More than
• Plus
• Sum
• Total
Examples
• 6 and 8
• The original price of $15
increased by $5.
• 3 coins and 8 more
• Josh has 10 points. Will
has 5 more than Josh.
• 8 baseballs plus 4 baseballs
• The sum of 3 and 5
• The total of 10, 14, and 15
Understanding Algebra Word
Problems
Words Indicating Subtraction
• Decreased
• Difference
• Less
• Less than
• Left
• Lower than
• Minus
Examples
• $16 decreased by $5
• The difference between 18
and 6.
• 14 days less 5
• Jose completed 2 laps less
than Mike’s 9
• Ray sold 15 out of 35
tickets. How many did he
have left?
• This month’s rainfall is 2
inches lower than last
month’s rainfall of 8 inches.
• 15 minus 6
Understanding Algebra Word
Problems
Words Indicating Multiplication
•
•
•
•
•
•
Double
Half
Product
Times
Triple
Twice
Examples
• Her $1000 profit doubled in
a month.
• Half of the $600 collected
went to charity.
• The product of 4 and 8
• Li scored 3 times as many
points as ted who only
scored 4.
• The bacteria tripled its
original colony of 10,000 in
just one day.
• Ron has 6 CD’s. Tom has
twice as many.
Understanding Algebra Word
Problems
Words Indicating Division
• Divide into, by, or among
• quotient
Examples
• The group of 70 divided
into 10 teams
• The quotient of 30 and 6
Addition
increased by
more than
combined, together
total of
sum
added to
Subtraction
decreased by
minus, less
difference between/of
less than, fewer than
Multiplication
of
times, multiplied by
product of
increased/decreased by a
factor of (this type can
involve both addition or
subtraction and
multiplication!)
Division
per, a
out of
ratio of, quotient of
percent (divide by 100)
Equals
is, are, was, were, will be
gives, yields
sold for
Class work: Copy Question and Practice writing
parts of algebraic expressions from the following
word problems
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
3 less than x
y divided among 10
The sum of t and 5
n minus 14
5 times k
The total of z and 12
Double the number b
x increased by 1
The quotient t and 4
Half of a number y
Ticket out the door: (copy all)
Match the phrase with the correct algebraic
expression.
A.y – 2
B.2y
C.y + 2
D.y/2
E.2 - y
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
2 more than y
2 divided into y
2 less than y
Twice y
The quotient of y and 2
y increased by 2
2 less y
The product of 2 and y
y decreased by 2
y doubled
2 minus y
The total of 2 and y
Wednesday Warm-Up
1. Write 3 sentences to represent this math
expression: x + 5
2. Find the range of this set of data:
2, 4, 5, 2, 9
Translating Phrases into Math Expressions: Copy and Answer
•1. The sum of a number and ten.
•2. Eighteen more than a number.
•3. Five less than a number.
•4. The product of a number and three.
•5. The difference of a number and seven.
•6. The difference of seven and a number.
•7. Two more than a number.
•8. Sixteen less than twice a number.
•9. Five times the sum of a number and four.
•10. Three times the difference of a number and one.
•11. The quotient of a number and six.
•12. Two-thirds of a number.
•13. Eight more than a twice a number.
•14. The difference of a number and eight, divided by ten.
•15. Three more than the sum of a number and four.
•16. Double the difference of a number and seven.
•17. Nine less than the product of a number and two.
•18. The quotient of two and three more than a number.
•19. The product of triple a number and five.
•20. Sixteen less than the sum of three and a number.
Translating Phrases into Math Expressions
•1. The sum of a number and ten. X + 10
•2. Eighteen more than a number. x + 18
•3. Five less than a number. X - 5
•4. The product of a number and three. 3x
•5. The difference of a number and seven. x - 7
•6. The difference of seven and a number. 7 - x
•7. Two more than a number. x + 2
•8. Sixteen less than twice a number. 2x - 16
•9. Five times the sum of a number and four. 5 (x+4)
•10. Three times the difference of a number and one. 3(x-1)
•11. The quotient of a number and six. X / 6
•12. Two-thirds of a number. 2/3 x
•13. Eight more than a twice a number. 2x + 8
•14. The difference of a number and eight, divided by ten. (x -8)/10
•15. Three more than the sum of a number and four. (x+4) + 3
•16. Double the difference of a number and seven. 2(x – 7)
•17. Nine less than the product of a number and two. 2x - 9
•18. The quotient of two and three more than a number. 2/(x +3)
•19. The product of triple a number and five. 3x (5)
•20. Sixteen less than the sum of three and a number. (3 +x) - 16
Thursday Warm-Up
Translate into a math phrase
1. The sum of triple a number and 5
2. A number divided by 6 is 5
Distributive Property examples
• http://teachers.henrico.k12.va.us/math/ms/c
20708/01NumberSense/15DistributiveProp.html
Friday Warm-Up
Write a math expression to match each statement.
1. The product of a number and 5 increased by 2
2. The quotient of 6 and a number
Simplify using the distributive property
3. 5( apples + 2 bananas)
4. 4(5 + a)
Quiz
Writing Equations
Copy the question on the left , answer on the right.
1. add 43 to a number n
16. sum of a number z and 34
2. a number x divided into 25
17. the product of 6 and a number j
3. 7 times a number e
18. 3 increased by a number p
4. take away a number c from 16 19. 33 increased by a number u
5. difference of a number q and 24 20. add 6 to a number k
6. product of a number r and 41 21. take away a number f from 20
7. 13 more than a number j
22. The quotient of a number j and 6
8. a number a less 49
23. sum of a number b and 35
9. a number v decreased by 28
24. a number x times 44
10. a number b multiplied by 46 25. a number w decreased by 12
11. 30 minus a number h
26. a number j minus 10
12. a number u divided by 36
27. 32 less a number t
13. quotient of 23 and a number e 28. 48 multiplied by a number q
14. 8 less than a number y
29. 4 divided by a number s
15. subtract a number m from 19 30. difference of a number c and 2
This week
Mon – Evaluate
Tues – Simplify
Wed – Review
Thurs – Solving one step
Fri - Quiz
HW this Wk 9/19 – 9/23
Homework Wk of 9/12 – 9/16
Copy or Print out. Show all work.
Questions on left. Answers on Right.
Evaluate each expression.
1. xy, for x = 3 and y = 5
2. 24 – p * 5, for p=4
3. 5a + b, for a = 6 and b = 3
4. 6x, for x = 3
5. 63 ÷ p, for p = 7
Simplify each expression.
6. 2m – 1y + 3y + 2m
7. 6 + 4y – 2
8. 5t – t + 8k – 6k
9. 4ab +5 + 3ab + 20
10. 3w + 5f – f + 7
11. Use distributive to simplify 6( x + 4)
12. Write a math expression for the quotient of a number and 6 increased by 2
13. Review - Find the lower quartile of 6, 5, 2, 5, 7, 8, 9.
Define each vocabulary word.
14. Equation
15. Pattern
16. Relationship
17. Rule
18. Scale
19. Table
20. Variable
Simplify using distributive property
1. 6(a + 5b)
2. 6x(y – 3)
Write this math expression in 3 ways:
(9 ÷ x) – 4
Find the mean of 5, 6, 2
Steps to Evaluate Expressions
1. Replace each letter in the expression with the
assigned value.
2. Perform the operations in the expression
using the correct order of operations.
Example: 2x + 4 , when x = 3
Solve the following problems using the number given for
the variable. Work out each problem on the left and
answer column on the right.
x= 2
w = 1, y = 3, z = 5
1. 3x + 4 =
9. 5w – y =
2. (x + 8) ÷ 2
10. 3z + 5 ÷ w=
3. 5x + 4 =
11. 2y + 3 =
4. 6x ÷ 4
12. wyz + 2 =
5. 12 – 3x =
13. z – 2w =
6. 9 – x =
14. 25 – 2y =
7. x – 5
15. 7y – 3z =
8. 2x + 2
16. 4yw – x =
Evaluate each expression.
1. 18a – 9b, for a = 1 and b = 2
2. m + n ÷ 6, for m = 12 and n = 18
3. 3ab – c, for a = 4, b=2, and c = 5
SIMPLIFYING
ALGEBRAIC
EXPRESSIONS
Combining Like Terms
In algebraic expressions, like terms are terms that
contain the same variables,
such as 2n and 5n.
Variables are the letters that follow a coefficient, like
x or y or even m or b.
Think of it this way: 2n and 5n are like brother and
sister – they have the same last name, n.
Only the numerical coefficients are different.
Are these like terms?
5x and 5y
No, they are not, because they contain different
variables.
What about these?
5x and 6x?
Yes, because they contain the same variables.
Coefficients are the constants that come before a
variable.
In our example 2n and 5n, the coefficients are
2 and 5.
Now that you know what these things mean, let’s try
an example and combine like terms.
This expression has 2 terms. 2 and 5 are the
coefficients, and the n’s are the variables.
2n + 5n
means that you have 2 n’s and are adding
5 n’s to them.
So isn’t 2n + 5n the same as saying
nn + nnnnn?
It is! How many n’s do you have?
2n + 5n = 7n
Let’s do some more.
7p + 3p =
That means ppppppp + ppp
How many do you have all together?
You have 10 p’s, so
7p + 3p = 10p
You try some.
4x + 12x =
5b + 14b =
15c – 9c =
10f – 2f =
How did you do?
4x + 12x = 16x
5b + 14b = 19b
15c – 9c = 6c
10f – 2f = 8f
Getting it? Great!
Now, what if you were asked to simplify an
expression like this:
2a + 3a + 4a?
Everyone here has the same last names, so you
can just combine them.
aa + aaa + aaaa = aaaaaaaaa
So, 2a + 3a + 4a = 9a
You doing great, so let’s try some more.
How in the world would you simplify an
expression like this?
2a + 3a + 4d?
What’s up with that different last name?
It’s no big deal – watch. You can’t combine
terms with different last names, so this is
what you do.
2a + 3a +4d
just means you have 2 a’s plus 3a’s plus 4d’s.
aa + aaa + dddd
SO,
Combine like terms and you will get
5a + 4d.
That’s it!!!!! That’s how you simplify that!
This is fun. Let’s do some more.
3a + 4a + 5x =
5a + 2a + 7g =
6b + 2a + 2b =
10x + 3y + 4x =
How did you do? Did you remember to just
combine the like terms?
3a + 4a + 5x = 7a + 5x
5a + 2a + 7g = 7a + 7g
6b + 2a + 2b = 8b + 2a
10x + 3y + 4x = 14x + 3y
If you got them all, you’re sharp! Did you
notice we mixed up the numbers? It
doesn’t matter in what order they appear –
just put the same last name together!
If you are having trouble with this, we’re going
to take a moment to get you on track.
If a’s are apples and p’s are peaches, and we
tell you Jane brought in 3 apples, Mike
brought in 3 peaches and Susan brought in 3
apples, what would you have?
You’d have 3a + 3p + 3a, right?
If you combine your like terms, you would have
3 apples plus 3 peaches plus 3 apples.
3a + 3p + 3a
which would equal
aaa + ppp + aaa
SO,
aaa + ppp + aaa = 6a + 3p
Isn’t that easy? Better than writing all those
a’s and p’s!
Okay, you combining like terms masters,
let’s really rock. Try these. They are longer
and more involved, but you can do them.
Just put the same last names together, but
don’t try to combine different last names..
3v + 6p + 4p + 2v
4b + 7b + 9r + 2b + 2r
12c – 4c + 3d + 4d
3v + 6p + 4p + 2v = 5v + 8p
4b + 7b + 9r + 2b + 2r = 13b + 11r
12c – 4c + 3d + 4d = 8c + 7d
That last one was a little tricky, wasn’t it?
Just remember that the sign ( + or - ) right in
front of a number belongs to that number.
We want to show you something else.
What if we gave you this expression?
12c – 4c + 3d + 4d – 3d – 2c
Wow. We can do this. Let’s start with the c’s.
12c – 4c – 2c leaves you with 6c.
Now deal with the d’s.
3d + 4d – 3d leaves you with 4d. It’s not a
negative 4, it’s positive, so it’s +4d.
The solution is 6c + 4d. Remember that the
sign in front of a number belongs to that
number.
We want to show you one more.
What do you make of this?
5w + w = ?
That w all by itself is the same as 1w. We
just don’t write the one, because in the
mathematical world, it is understood that it
is just one. Don’t make the mistake of
forgetting to include all the terms. If you
need to write the 1 in front of a variable to
help you remember, go ahead. It’s okay
with us.
So 5w + w is the same as 5w + 1w
which equals 6w.
COPY ALL
Copy, work out and Answer
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
2k + 10k
3m + 9m – 6m
2a + 3b + 4
5mj – 4mj + 6mj
12x + 9a + 5 – 3x
7t + k + 3t + 9k
5ab + 7t – ab + 6t
7y + 9h + 2 – 6h – y
10q + 3q + 5z +8z – 9
25r + 67j +6 +10r
Challenge problems
1.) 3 + 3(x+ 2)
2.) 1 − 5n − 7n
3.) 38 +7(7n+ 4)
4.) 4x + 5(3x+ 3)
5.) 5 +2(8x+ 4)

Simplify each expression.

1.) 1 + 8x +5x

2.) 7 + 6x+ 9x+ 9

3.) 3 + 8 x+ 2

4.) 5 + 8n+ 4n

5.) 9 + 3x+ 1 +2x
Group assignment
1. You will be assigned a group.
2. You will be given a sheet of chart paper.
3. In the center of your group will be a set of
numbered problems.
4. You will be given 10 minutes to work out each of
the problems neatly in your section of the chart paper.
5. No talking is allowed. Any groups caught talking or
sharing answers will loose points
6. Once you are finished working out all of the
questions in your section, wait for further directions.
#1 The difference between a number tripled and six.
#2 Evaluate 2xyz – 3abc – 4dog, if a = 2, b=3, c= 1,
d=2, o=4, g=1,x=5, y= 6, z=2
#3. Simplify 2m + 3t – t + 7m - 8
#4. What is the interquartile range of 6, 2, 3, 4, 5, 7
#5. If Tim has the following grades 50, 90, 78 so far.
If he needs to have an 70 average. What is the
lowest grade he can get for his final grade?
1.
2.
3.
What is the lower extreme and upper extreme
of 2, 5, 6, 1, 3, 8?
Use distributive to simplify: 2(a + 7) +10 + 3a
10 + what = 25
Step 1. Identify the operation? (+, -, *, ÷)
Step 2. What number is being operated on?
Step 3. Separate your problem into 2 sides.
Step 4. Do the opposite operation on both
sides of your problem.
What
Example:
What’s
the
operation?
2 + m = 10
-2
-2
m=8
number is
being
operated
on?
Solving Single Step Equations – Fold paper in three columns.
Copy the question and show work, box in your answer.
1.) 52 = 4 + q
11.) v - 15 = 46
2.) 5b = 35
12.) 101 = 12 + u
3.) p + 20 = 105
13.) 14 m = 112
4.) 18g = 90
14.) m - 14 = 13
5.) 24 = 3 + k
15.) q + 16 = 114
6.) 21 = w + 8
16.) 110 = 65 + t
7.) 27 = 9 j
17.) 3d = 9
8.) 81 = n + 24
18.) 62 = 67 - j
9.) 14 = 2a
19.) a - 33 = 25
10.) r - 35 = 35
20.) 33 = p - 16
Translate into a math equation and then solve
for the missing number.
1.
A number increased by six is twenty-one.
2. The quotient of a number and five is six.
Solve the problems below.
Place the problem on the left and The question #
and answer on the right. Show all work.
1. 6d = 66
2. 15 + x = 24
3. t – 16 = 28
4. 3h = 45
5. 8t = 96
6. y – 21 = 29
7. w / 9 = 3
8. m/ 6 = 9
9. f + 16 = 31
10. x – 37 = 46
Mon – solve two step equations
Tues – continue
Wed – review
Thurs – translate and solve
Fri - quiz
HW this Wk 9/26 – 9/30
Homework Wk of 9/12 – 9/16
Copy or Print out. Show work.
Solve each equation.
1. 25 +2y = 55
2. x/2 = 18
3. 2 + 2x = 8
4. 25x = 50
5.
8. x/4 = 12
½y=6
6. 2x + 5 = 25
7. 9p = 48
Write the equation and solve.
9. If a number is increased by 3.64, the result is 18.9. What is the number?
10. A number is decreased by 372.6 gives the result 412.2. What is the number?
Monday
• Warm – Up (copy questions and answer)
Translate and solve:
1. The product of six and a number is forty-eight
2. The sum of a number and sixteen is forty.
Solving Multi- Step Equations
Copy the question and do work on the left , answer on the right.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
4x – 17 = 31
(k ÷ 3) + 3 = 8
9n + 18 = 81
14 = 5k – 31
(v ÷ 8) - 9 = 0
3p + 5 = 14
(m ÷ 7) - 3 = 0
8 + (x ÷ 2) = 58
15 = 2m + 3
7 = 3 + (h ÷ 6)
11.
12.
13.
14.
15.
5 = (y ÷ 3) – 9
(t ÷ 9) – 7 = 1
(x ÷ 2) – 5 = 1
10w – 6 = 24
7 = 6r - 17
Tuesday
• Warm-Up
• Copy Example Below
A Number T multiplied by 3 then decreased by 9 is 93.
3T – 9 = 93
(equation)
+ 9 +9
3T
= 102
÷3
÷3
T
= 34
(answer)
• Practice: Translate and solve.
• The product of a number m and 6 increased by 5 is 35.
1.Copy the problem
3. Work it out
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
2.Write an equation
4. solve.
The sum of 43 and a number n is 100.
a number x divided into 25 is 5.
7 times a number e, then increased by 4 is 60.
The difference of a number c and 16 is 64.
The product of a number q and 24 decreased by 5 is 43.
product of a number r and 41 increased by 6 is 129.
13 more than twice a number j is 37.
a number a less 49 is 64.
a number v multiplied by 5 then decreased by 28 is 58.
a number b multiplied by 46 minus 6 is 270.
30 minus a number h is 27.
a number u divided by 5 increased by 36 is 41.
quotient of 27 and a number e decreased by 3 is 0.
8 less a number y increased by 29.5 is 33
add a number m from 19.25 and the total is 26. 39
Wednesday
Review Translations, Simplify, Evaluate,
Distributive, Solve one and two step equations
Use the following algebraic expression
to answer the questions below.
7ab – 2c + 8 – 9ab + 10c
1. What are the Constants? Like terms?
Coefficients? Variables?
2. What is the simplified answer?
3. How can you simplify -2a + 3(a – 5)
+4
Thursday
• Unit 2a Test
• Begin Elmo Graph after test
Friday
• Warm –Up: Solve the equation.
1. 2x - 8= 16
• Complete Elmo graph
Week of 10/3 thru 10/4
Mon- 1.1
Tues -1.2
Wed- 1.3
Thurs – 1.4
Friday- complete inv. 1.1 – 4 short quiz
Homework for Week of 10/3 through 10/7
Copy or print chart and questions. Choose appropriate scale for graph. Label and title
your graph.
Monday
• Warm-Up: Place on Warm–Up Sheet
1. 2 + 6.9 + 31 + 4.88 = ?
Next, Copy these notes in your notebook.
Variable A quantity that can change.
Coordinate Graph A graphical representation of pairs of related
numerical values.
Independent Variable Its value determines the value of the other
variable. The value can stand ALONE and it goes on the x-axis. (ex.
Time)
Dependent Variable Its value depends upon or is determined by the
other variable and it goes on the y-axis. (ex. Cost)
Coordinate Pair An order pair of numbers. (x,y). (0, 10)
Scale A way to label the axes on a coordinate graph.
Copy this in your notes:
Problem 1.1 Interpreting Tables
Class Jumping Jack Experiment
Jumper: ____________________
Time(seconds)
Total # of
Jumping Jacks
Rate per second
0
10
20
30
40
50
60
70
80
90
100 110 120
Tuesday Warm-Up : 2.6 + 31 – 14.4 – 3 +0.25
Notes on Lesson 1.2
Making Graphs
A coordinate graph is a way to show the relationship
between two variables (the independent and dependent
variables).
Steps to Make a Graph:
•Select two variables.
i.e. Time and Jumping Jacks
•Select an axis to represent each variable.
Independent variable – goes on the x-axis, stands on its own,
doesn’t depend on the other variable
Dependent variable – goes on the y-axis, depends on the
other variable
y-axis
Jumping
Jacks
Time (sec.)
x-axis
y-axis
Jumping
Jacks
ASK: Does JJ depend on time? OR
Does time depend on JJ?
(no one is jumping – is time waiting?)
Time (sec.)
•
•
x-axis
Select a scale for each axis.
This needs to be done for each axis.
By 1’s, by 2’s, by 5’s…
Plot the data points using coordinate pairs.
Make a point where the x and y numbers intersect.
A GREAT graph includes:
Title _______vs.________
Axis Labels (units)
Proper consistent scaling
Accurate plotting
Independent and dependent variables on the correct axes
Pencil
Warm-up – Wednesday ( Put on Warm-up sheet)
• Order the numbers from least to greatest.
1. 1.75, 0.25, 0.5, 1.5, 2.0, 0.75, 1.25, 1.00
Problem 1.3 Day 1:
Atlantic City to Lewes
Time (hr)
Distance
(mi)
0
0
0.5
8
1.0
15
1.5
19
2.0
25
2.5
27
3.0
34
3.5
40
4.0
40
4.5
40
5.0
45
•Make a coordinate graph of the
time and distance data given in the
table (on grid paper).
•Answer questions B through D.
Problem 1.3 Day 1:
Atlantic City to Lewes
Atlantic City To Cape May
Time (hr)
Distance
(mi)
0
0
0.5
8
1.0
15
1.5
19
2.0
25
2.5
27
3.0
34
3.5
40
4.0
40
4.5
40
5.0
45
D
i
s
t
a
n
c
e
Time
Warm-up – Thursday
Find the mean of 3.6, 4.2, 2.8
Lesson 1.4 Reading Data from graphs
• Table for Problem 1.4 B.
Time (hr)
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
6
6.5
7
7.5
Distance(mi)
0
7
13
22
22
30
22
31
36
48
48
56
63
72
74
81
• After we have finished Lesson 1.4 work on
problem # 24
Problem 1.5Copy the table and then graph.
Answer the questions in Problem 1.5
Actual Time
8:3
0
9
9:3 10
0
Time (hr)
0
.5
1
1.5 2
2.5 3
3.5 4
4.5 5
5.5 6
6.5 7
7.5
Distance(mi)
0
3
5
8
25
40
40
54
57
80
10: 11
30
18
11: 12
30
33
12: 1
30
40
1:3 2
0
47
2:3 3
0
54
3:3 4
0
60
Warm-up- Friday
The equation c = 0.75t represents the total cost of tickets
for carnival games. Which table best represents this
equation? A.
Tickets
1
2
3
4
Cost
B.
C.
D.
$0.75
$1.50
$2.25
$3.00
Tickets
1
2
3
4
Cost
$0.75
$1.75
$2.75
$3.75
Tickets
1
2
3
4
Cost
$1.00
$2.00
$3.00
$4.00
Tickets
1
2
3
4
Cost
$0.75
$0.76
$0.78
$0.79
Wk of 10/10 thru 10/14
•
•
•
•
•
Mon- no school
Tues – 2.1
Wed- 2.2
Thurs – 2.3
Fri- review
Monday
Warm-Up (Show all work):
8.654(9.2)=
Begin Reading Investigation 2.1
Lesson 2.1
•Make a table for Adrian’s data just like the table for Rocky’s
Rocky’s
Adrian’s
5
10
15
20
25
30
35
40
45
50
$400
$535
$655
$770
$875
$975
$1070
$1140
$1180
$1200
5
10
15
20
25
30
35
40
45
50
150
300
450
600
750
900
1050
1200
1350
1500
A. Rocky’s or Adrians? Why?
B. Skip
Lesson 2.1
* Make a table for Adrian’s data just like the table for Rocky’s
A. Rocky’s or Adrians? Why?
B. skip
C. How much would it cost for 32 bikes?
Rocky’s –
Adrians –
D. What Patterns Do you see?
Rocky’s AdriansE. How can I calculate how much any number of bikes would
cost at each store?
Rocky’s –
Adrians –
Pg 35 #1 and pg 41 #12
Tuesday Warm-Up
26.4 x (2.9 + 6.31)
Write in your agenda on the specific date
Nov. 3rd – Notebook check
Nov. 5th – Math Grade Sheets
Nov. 8th – make up work due
Nov. 12th – Vocabulary Unit 5 due
Nov. 15 -19 Benchmarks (all classes)
*Keep agenda open to be signed.*
Begin reading Investigation 2.2
Lesson 2.2
a. What are the 2 variables?
Which variable goes on the
x-axis? Choose a scale.
Which variable goes on the
y-axis? Choose a scale.
p. 36 #3 and pg. 39 # 7
Prices Customers would pay
Lesson 2.2
a. What are the 2 variables?
Which variable goes on the x-axis? Choose a scale.
Which variable goes on the y-axis? Choose a scale.
b. Graph the table. Include titles and labels.
c. What price do you think the operators should charge?
d. 1.The number of customers _________as the price increases.
2. How is this seen in the table?
How is this seen in the graph?
3. How many customers do you think would pay $425?
Explain.
Wednesday Warm-Up
62.54 ÷ 1.5
Begin reading Investigation 2.3
Work on Problem 2.3
Copy statements A – G and
the 6 graphs on page 34.
Match the statements to the correct graph.
When done do p.36 #3 and pg. 39 # 7
Write answers in notes, graphs on graph paper.
Choose which story goes with each picture and write the story under
its graph. Give the graph a title and label the x-axis with the
independent variable and the y-axis with the dependent variable. #1 is
done below.
Taking a Bath
Water
level
C. The water level changes over time when someone
fills a tub, takes a bath, and empties the tub.
Time
Thursday Warm-Up
19.5 ÷ 2.1
By the end of class today, You should have the following
completed:
1. Lesson 2.1
2. Lesson 2.2 (Graph on Graph paper)
3. Lesson 2.3
4. Pg. 36 #3 Answers in Notes(Graph on Graph paper)
5. Pg. 39 # 7 Answers in Notes(Graph on Graph paper)
6. Pg. 46 #22 Answers in Notes(Graph on Graph paper)
7. Pg. 39 #8 copy statements draw graph answer
8. Pg. 40 #10 copy statements draw graph answer
Page 37 #4
a. As the price per shirt increases, the expected number of shirt
sales _________.
b. Copy and Complete the table.
Price per shirt
$5
$10
$15
$20
$25
Number of Shirt Sales
50
40
30
20
10
Value of Shirt sales
$250
$400
c. As the price per shirt increases, the expected value of shirt sales
_____________.
d. Graphs
e. How are the answers to parts a and c shown in the graphs?
p. 38 # 6
What are the 2 variables?
a. East Coast Trucks - $4.25 per mile =
0
25
50
75
100
125
150
175
200
225
250
275
300
b. Philadelphia Truck Rental - $40 per day + $2.00 per mile =
0
25
50
75
100
125
150
175
200
225
250
275
c. Graph both tables on the same graph. Use a different color for
each.
d. Which company has the best deal?
300
TGIF - Thank Goodness It’s Friday!!!!!!!!!!
Warm-Up
2.1 + 6.98 – ( 2 x 2.2)
Monday Nov. 1st
• Warm-Up p. 42 # 13, 14 (Copy and Answer)
• We will be going over work from last week
Beginning on pg. 36 #3, 7, 8, 10
#3
A graph
B
C
#7
A graph
B
C
1.)
2.)
3.)
4.)
5.)
6.)
7.)
8.)
−n−5(−6 − 7n)
7(5n− 1) − 2n
−7(8x− 3) +x
−(4 + 6x) − 3
5(−8n+ 5) − 4n
3 −6(1 +n)
7(8x+ 7) + 3x
7 −8(−2 − 5x)
http://math.about.com/od/algebraworksheets/ss/Al
gebra-_3.htm
Use the following algebraic expression to
answer the questions below.
-2m + 3p – 8m + 7p – 4
1. What are the constants?
2. Like terms?
3. Coefficients?
4. Variables?
5. What is the simplified answer?
100
Using four sevens (7) and a one (1)
create the number 100. Except the five
numerals you can use the usual
mathematical operations (+, -, x, :),
root and brackets ().
Solution
Equation
Change the following equality 101 102 = 1 by moving just one digit to
make it true.
Solution
Monday
• Warm-Up : Find the solution for
7x + y when x = 3 and y = 5
• Homework: Worksheet (write in your agenda)
Homework Worksheet
Homework Worksheet
1. 2 (x + 5)
2. 3( apples + bananas)
3. (5 – x) 2
4. (m – t) 4
5. V
6. 7
7. M
8. 4
9. 6
10. 8
11. The quotient of a number and six.
12. Two-thirds of a number.
13. Eight more than a twice a number.
14. The difference of a number and eight, divided by
ten.
15. Three more than the sum of a number and four.
16. Double the difference of a number and seven.
17. Nine less than the product of a number and two.
18. The quotient of two and three more than a
number.
19. The product of triple a number and five.
20. Sixteen less than the sum of three and a number.
1. 2 (x + 5)
2. 3( apples + bananas)
3. (5 – x) 2
4. (m – t) 4
5. V
6. 7
7. M
8. 4
9. 6
10. 8
11. The quotient of a number and six.
12. Two-thirds of a number.
13. Eight more than a twice a number.
14. The difference of a number and eight, divided by
ten.
15. Three more than the sum of a number and four.
16. Double the difference of a number and seven.
17. Nine less than the product of a number and two.
18. The quotient of two and three more than a
number.
19. The product of triple a number and five.
20. Sixteen less than the sum of three and a number.