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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

Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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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 – 9/16Copy or Print out. Show all work. - PowerPoint PPT Presentation

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Page 1: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Week 9/12 – 9/16

Monday – PretestTuesday – Translate notes and practiceWed- Translate classwork, remediationThurs – Distributive notes and practiceFriday – Quiz Translate and distributive

Page 2: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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, doubled2. Triple John’s age y3. A number, n, plus 44. Quantity, t, less 65. 18 divided by a number, x6. n feet lower than 107. 3 more than p8. The product of 4 and m9. A number, y, decreased by 2010. 5 times as much as xSimplify using distributive property.11. 6 (w + z)12. A(8 + b)13. 2(4 + 5)14. 6 (x – 9)15. y(6 – m)Review16. What are the 5 parts of a box and whisker plot. Vocabulary – Define each word17. Coordinate Graph18.Coordinate Pair19. Dependent Variable20. Independent Variable

Homework Wk of 9/12 – 9/16

Page 3: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice
Page 4: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

WednesdayWarm – 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?

Page 5: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Understanding Algebra Word Problems

Words Indicating Addition Examples• And • Increased • More • More than• Plus• Sum• Total

• 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

Page 6: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Understanding Algebra Word Problems

Words Indicating Subtraction Examples• Decreased• Difference• Less• Less than• Left• Lower than• Minus

• $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

Page 7: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Understanding Algebra Word Problems

Words Indicating Multiplication Examples• Double• Half• Product• Times• Triple• Twice

• 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.

Page 8: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Understanding Algebra Word Problems

Words Indicating Division Examples• Divide into, by, or among• quotient

• The group of 70 divided into 10 teams

• The quotient of 30 and 6

Page 9: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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

Page 10: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Class work: Copy Question and Practice writing parts of algebraic expressions from the following

word problems

1. 3 less than x2. y divided among 103. The sum of t and 54. n minus 145. 5 times k6. The total of z and 127. Double the number b8. x increased by 19. The quotient t and 410. Half of a number y

Page 11: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Ticket out the door: (copy all)Match the phrase with the correct algebraic

expression.

A.y – 2B.2yC.y + 2D.y/2E.2 - y

1. 2 more than y2. 2 divided into y3. 2 less than y4. Twice y5. The quotient of y and 26. y increased by 27. 2 less y8. The product of 2 and y9. y decreased by 210. y doubled11. 2 minus y12. The total of 2 and y

Page 12: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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

Wednesday Warm-Up

Page 13: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 14: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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

Page 15: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Translate into a math phrase

1.The sum of triple a number and 5

2.A number divided by 6 is 5

Thursday Warm-Up

Page 17: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice
Page 18: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Friday Warm-Up

Write a math expression to match each statement. 1. The product of a number and 5 increased by 22. The quotient of 6 and a number

Simplify using the distributive property3. 5( apples + 2 bananas)4. 4(5 + a)

Page 19: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Quiz

Page 20: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Writing EquationsCopy the question on the left , answer on the right.

1. add 43 to a number n2. a number x divided into 253. 7 times a number e4. take away a number c from 165. difference of a number q and 246. product of a number r and 417. 13 more than a number j8. a number a less 499. a number v decreased by 2810. a number b multiplied by 4611. 30 minus a number h12. a number u divided by 3613. quotient of 23 and a number e14. 8 less than a number y15. subtract a number m from 19

16. sum of a number z and 3417. the product of 6 and a number j18. 3 increased by a number p19. 33 increased by a number u20. add 6 to a number k21. take away a number f from 2022. The quotient of a number j and 623. sum of a number b and 3524. a number x times 4425. a number w decreased by 1226. a number j minus 1027. 32 less a number t28. 48 multiplied by a number q29. 4 divided by a number s30. difference of a number c and 2

Page 21: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

This weekMon – EvaluateTues – SimplifyWed – ReviewThurs – Solving one stepFri - Quiz

Page 22: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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 = 52.24 – p * 5, for p=43.5a + b, for a = 6 and b = 34.6x, for x = 35.63 ÷ p, for p = 7Simplify each expression.6.2m – 1y + 3y + 2m7.6 + 4y – 28.5t – t + 8k – 6k9.4ab +5 + 3ab + 2010.3w + 5f – f + 711.Use distributive to simplify 6( x + 4)12.Write a math expression for the quotient of a number and 6 increased by 213.Review - Find the lower quartile of 6, 5, 2, 5, 7, 8, 9.Define each vocabulary word.14. Equation15. Pattern16. Relationship17. Rule 18. Scale19. Table20. Variable

HW this Wk 9/19 – 9/23

Page 23: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Simplify using distributive property1.6(a + 5b)2.6x(y – 3)

Write this math expression in 3 ways:(9 ÷ x) – 4

Find the mean of 5, 6, 2

Page 24: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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

Page 25: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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 =2. (x + 8) ÷ 2 3. 5x + 4 =4. 6x ÷ 45. 12 – 3x =6. 9 – x =7. x – 5 8. 2x + 2

9. 5w – y =10.3z + 5 ÷ w=11.2y + 3 =12.wyz + 2 =13.z – 2w =14.25 – 2y =15.7y – 3z =16.4yw – x =

Page 26: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Evaluate each expression.1.18a – 9b, for a = 1 and b = 22.m + n ÷ 6, for m = 12 and n = 183.3ab – c, for a = 4, b=2, and c = 5

Page 27: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

SIMPLIFYINGALGEBRAIC

EXPRESSIONS

Combining Like Terms

Page 28: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 29: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 30: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 31: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

This expression has 2 terms. 2 and 5 are the coefficients, and the n’s are the variables.

2n + 5nmeans 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

Page 32: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Let’s do some more.

7p + 3p =

That means ppppppp + ppp

How many do you have all together?

You have 10 p’s, so7p + 3p = 10p

Page 33: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

You try some.

4x + 12x =

5b + 14b =

15c – 9c =

10f – 2f =

Page 34: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

How did you do?

4x + 12x = 16x

5b + 14b = 19b

15c – 9c = 6c

10f – 2f = 8f

Getting it? Great!

Page 35: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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

Page 36: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 37: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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!

Page 38: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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?

Page 39: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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!

Page 40: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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?

Page 41: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

If you combine your like terms, you would have

3 apples plus 3 peaches plus 3 apples.

3a + 3p + 3awhich would equalaaa + ppp + aaa

SO,aaa + ppp + aaa = 6a + 3p

Isn’t that easy? Better than writing all those a’s and p’s!

Page 42: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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

Page 43: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 44: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 45: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 46: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

COPY ALL

Page 47: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

1. 2k + 10k 2. 3m + 9m – 6m3. 2a + 3b + 44. 5mj – 4mj + 6mj 5. 12x + 9a + 5 – 3x 6. 7t + k + 3t + 9k7. 5ab + 7t – ab + 6t8. 7y + 9h + 2 – 6h – y9. 10q + 3q + 5z +8z – 910. 25r + 67j +6 +10r

1.) 3 + 3(x+ 2)

2.) 1 − 5n − 7n

3.) 38 +7(7n+ 4)

4.) 4x + 5(3x+ 3)

5.) 5 +2(8x+ 4)

Challenge problems

Copy, work out and Answer

Page 48: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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

Page 49: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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 points6. Once you are finished working out all of the questions in your section, wait for further directions.

Page 50: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

#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?

Page 51: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

1. What is the lower extreme and upper extreme of 2, 5, 6, 1, 3, 8?

2. Use distributive to simplify: 2(a + 7) +10 + 3a

3. 10 + what = 25

Page 52: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Example: 2 + m = 10-2 -2

m = 8

What’s the

operation?

What number is

being operated

on?

Page 53: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Solving Single Step Equations – Fold paper in three columns.Copy the question and show work, box in your answer.

1.)   52   =   4  +  q

2.)  5b   =   35

3.)   p  +  20   = 105

4.)   18g   =   90

5.)   24   =   3  +  k

6.)   21   =   w + 8

7.)  27 = 9 j

8.)   81   =   n + 24

9.)   14   =   2a

10.)   r  - 35   =   35

11.)   v - 15   =   46

12.)   101   =   12 + u

13.)   14 m = 112

14.)   m - 14   =   13

15.)   q  +  16   =   114

16.)   110   =   65  +  t

17.)   3d   =   9

18.)   62   =   67  -  j

19.)   a  -  33   =   25

20.)   33   =   p - 16

Page 54: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 55: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Solve the problems below.Place the problem on the left and The question #

and answer on the right. Show all work.

1. 6d = 662. 15 + x = 243. t – 16 = 284. 3h = 455. 8t = 966. y – 21 = 297. w / 9 = 38. m/ 6 = 99. f + 16 = 3110. x – 37 = 46

Page 56: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Mon – solve two step equationsTues – continueWed – reviewThurs – translate and solveFri - quiz

Page 57: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

HW this Wk 9/26 – 9/30Homework 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

5.½ y = 6 6. 2x + 5 = 25 7. 9p = 48 8. x/4 = 12

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?

Page 58: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Monday • Warm – Up (copy questions and answer)Translate and solve: 1. The product of six and a number is forty-eight2. The sum of a number and sixteen is forty.

Page 59: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice
Page 60: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

1. 4x – 17 = 31

2. (k ÷ 3) + 3 = 8

3. 9n + 18 = 81

4. 14 = 5k – 31

5. (v ÷ 8) - 9 = 0

6. 3p + 5 = 14

7. (m ÷ 7) - 3 = 0

8. 8 + (x ÷ 2) = 58

9. 15 = 2m + 3

10. 7 = 3 + (h ÷ 6)

Solving Multi- Step EquationsCopy the question and do work on the left , answer on the right.

11. 5 = (y ÷ 3) – 912. (t ÷ 9) – 7 = 113. (x ÷ 2) – 5 = 114. 10w – 6 = 2415. 7 = 6r - 17

Page 61: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 62: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

1.Copy the problem 2.Write an equation3. Work it out 4. solve.

1. The sum of 43 and a number n is 100.2. a number x divided into 25 is 5.3. 7 times a number e, then increased by 4 is 60.4. The difference of a number c and 16 is 64.5. The product of a number q and 24 decreased by 5 is 43.6. product of a number r and 41 increased by 6 is 129.7. 13 more than twice a number j is 37.8. a number a less 49 is 64.9. a number v multiplied by 5 then decreased by 28 is 58.10. a number b multiplied by 46 minus 6 is 270.11. 30 minus a number h is 27.12. a number u divided by 5 increased by 36 is 41.13. quotient of 27 and a number e decreased by 3 is 0.14. 8 less a number y increased by 29.5 is 3315. add a number m from 19.25 and the total is 26. 39

Page 63: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

WednesdayReview Translations, Simplify, Evaluate, Distributive, Solve one and two step equations

Page 64: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice
Page 65: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Use the following algebraic expression to answer the questions below.

7ab – 2c + 8 – 9ab + 10c1. What are the Constants? Like

terms? Coefficients? Variables?2. What is the simplified answer?

3. How can you simplify -2a + 3(a – 5) + 4

Page 66: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Thursday• Unit 2a Test

• Begin Elmo Graph after test

Page 67: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Friday

• Warm –Up: Solve the equation.1. 2x - 8= 16

• Complete Elmo graph

Page 68: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Week of 10/3 thru 10/4

Mon- 1.1Tues -1.2Wed- 1.3Thurs – 1.4Friday- complete inv. 1.1 – 4 short quiz

Page 69: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Homework for Week of 10/3 through 10/7Copy or print chart and questions. Choose appropriate scale for graph. Label and title your graph.

Page 70: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 71: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Copy this in your notes:Problem 1.1 Interpreting Tables

Class Jumping Jack ExperimentJumper: ____________________

Time(seconds) 0 10 20 30 40 50 60 70 80 90 100 110 120

Total # of Jumping Jacks

Rate per second

Page 72: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Tuesday Warm-Up : 2.6 + 31 – 14.4 – 3 +0.25

Notes on Lesson 1.2Making GraphsA 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 variableDependent variable – goes on the y-axis, depends on the other variable

y-axisJumping Jacks

Time (sec.) x-axis

Page 73: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

ASK: Does JJ depend on time? OR Does time depend on JJ?

(no one is jumping – is time waiting?)

•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 plottingIndependent and dependent variables on the correct axes

Pencil

y-axisJumping Jacks

Time (sec.) x-axis

Page 74: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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

Page 75: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 76: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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

Atlantic City To Cape May

Time

Distance

Page 77: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Warm-up – Thursday

Find the mean of 3.6, 4.2, 2.8

Page 78: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Lesson 1.4 Reading Data from graphs

• Table for Problem 1.4 B.

• After we have finished Lesson 1.4 work on problem # 24

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

Page 79: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Problem 1.5- Copy the table and then graph.

Answer the questions in Problem 1.5

Actual Time 8:30

9 9:30

10 10:30

11 11:30

12 12:30

1 1:30

2 2:30

3 3:30

4

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 18 25 33 40 40 40 47 54 54 57 60 80

Page 80: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Warm-up- Friday

The equation c = 0.75t represents the total cost of tickets for carnival games. Which table best represents this equation? Tickets 1 2 3 4

Cost $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

A.

B.

C.

D.

Page 81: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Wk of 10/10 thru 10/14

• Mon- no school• Tues – 2.1• Wed- 2.2• Thurs – 2.3• Fri- review

Page 82: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Monday

Warm-Up (Show all work): 8.654(9.2)=

Begin Reading Investigation 2.1

Page 83: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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

Rocky’s 5 10 15 20 25 30 35 40 45 50

$400 $535 $655 $770 $875 $975 $1070 $1140 $1180 $1200

Adrian’s 5 10 15 20 25 30 35 40 45 50

150 300 450 600 750 900 1050 1200 1350 1500

Page 84: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Lesson 2.1 * Make a table for Adrian’s data just like the table for Rocky’sA.Rocky’s or Adrians? Why?B.skipC.How much would it cost for 32 bikes?

Rocky’s –Adrians –

D. What Patterns Do you see?Rocky’s - Adrians-

E. 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

Page 85: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Tuesday Warm-Up26.4 x (2.9 + 6.31)

Write in your agenda on the specific dateNov. 3rd – Notebook check

Nov. 5th – Math Grade SheetsNov. 8th – make up work due

Nov. 12th – Vocabulary Unit 5 dueNov. 15 -19 Benchmarks (all classes)*Keep agenda open to be signed.*

Begin reading Investigation 2.2

Page 86: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Prices Customers would pay

p. 36 #3 and pg. 39 # 7

Lesson 2.2a. 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.

Page 87: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

Page 88: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Wednesday Warm-Up62.54 ÷ 1.5

Begin reading Investigation 2.3Work 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 # 7Write answers in notes, graphs on graph paper.

Page 89: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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.

C. The water level changes over time when someone fills a tub, takes a bath, and empties the tub.

Taking a Bath

Time

Waterlevel

Page 90: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Thursday Warm-Up19.5 ÷ 2.1

By the end of class today, You should have the following completed:1.Lesson 2.12.Lesson 2.2 (Graph on Graph paper)3.Lesson 2.34.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 answer8. Pg. 40 #10 copy statements draw graph answer

Page 91: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Page 37 #4

a.As the price per shirt increases, the expected number of shirt sales _________.b.Copy and Complete the table.

c.As the price per shirt increases, the expected value of shirt sales _____________.d.Graphse.How are the answers to parts a and c shown in the graphs?

Price per shirt $5 $10 $15 $20 $25

Number of Shirt Sales 50 40 30 20 10

Value of Shirt sales $250 $400

Page 92: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

p. 38 # 6

What are the 2 variables?

a.East Coast Trucks - $4.25 per mile =

b. Philadelphia Truck Rental - $40 per day + $2.00 per mile =

c. Graph both tables on the same graph. Use a different color for each.

d. Which company has the best deal?

0 25 50 75 100 125 150 175 200 225 250 275 300

0 25 50 75 100 125 150 175 200 225 250 275 300

Page 93: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

TGIF - Thank Goodness It’s Friday!!!!!!!!!!

Warm-Up2.1 + 6.98 – ( 2 x 2.2)

Page 94: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Monday Nov. 1st

• Warm-Up p. 42 # 13, 14 (Copy and Answer)• We will be going over work from last weekBeginning on pg. 36 #3, 7, 8, 10

Page 95: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

#3

A graph

B

C

Page 96: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

#7

A graph

B

C

Page 97: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

1.) −n−5(−6 − 7n)2.) 7(5n− 1) − 2n3.) −7(8x− 3) +x4.) −(4 + 6x) − 35.) 5(−8n+ 5) − 4n6.) 3 −6(1 +n)7.) 7(8x+ 7) + 3x8.) 7 −8(−2 − 5x)http://math.about.com/od/algebraworksheets/ss/Algebra-_3.htm

Page 98: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

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?

Page 99: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

100Using 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

EquationChange the following

equality 101 - 102 = 1 by moving just one digit to

make it true. Solution

Page 100: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Monday

• Warm-Up : Find the solution for 7x + y when x = 3 and y = 5

• Homework: Worksheet (write in your agenda)

Page 101: Week 9/12 – 9/16 Monday – Pretest Tuesday – Translate notes and practice

Homework Worksheet

1. 2 (x + 5) 2. 3( apples + bananas)3. (5 – x) 24. (m – t) 45. V6. 77. M8. 49. 610. 811. 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.

Homework Worksheet

1. 2 (x + 5) 2. 3( apples + bananas)3. (5 – x) 24. (m – t) 45. V6. 77. M8. 49. 610. 811. 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.