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Lesson 6 Homework Practice Add Linear Expressions Answers To 4

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Homework - Mrs

4/7: Volume of Pyramids Worksheet
4/6: Volume of Prisms Worksheet
4/4: 3D Figures Worksheet
___________________________________________________________________________________________________________________________
3/22: Study! Finish Study Guide and check answers. TEST TOMORROW!
3/17:
Area of Circles/Circumference and Area worksheet
3/15: Page 552- finish the table, then answer questions 5 and 7 (if not finished in class)
3/11: Complete page 547 #1-10. DUE MONDAY 3/14
3/10: Complete notes in the Classifying Angles BlendSpace. Then complete page 539 #1-11 in volume 2 of your math book. DUE 3/11
___________________________________________________________________________________________________________________________
2/19: Finish Percent of Change BlendSpace if not finished in class. Slide 8 needs to be turned in by Monday.

___________________________________________________________________________________________________________________________​
1/8 One-Step Inequality Review Stations Homework Due Monday

Unit 5 Homework (2nd half of Chapter 6) There will not be any unit homework assigned for inequalities. Instead, students will be asked to make sure any uncompleted classwork is finished at home. All work will be due the following day. If students would like extra practice, they may complete the following pages in their book. The Inequalities Test will be on Tues. Jan. 12.

Lesson 6: Solve Inequalities by Addition or Subtraction- page 503 - #19-31
Lesson 7: Solve Inequalities by Multiplication or Division- page 511 - #23-34
Lesson 8: Solve Two-Step Inequalities - page 519 - #19-24
___________________________________________________________________________________________________________________________
Unit 4 Homework: (Chapter 6) Homework for equations will be due on December 16th. Pace yourself and complete homework as you learn about each topic. To help yourself stay on track, follow the suggested dates to complete each assignment given below.
Lesson 1: One-Step Addition and Subtraction Equations- page 443 - #18-34 EVENS ONLY (12/7-Monday)
Lesson 2: One-Step Multiplication and Division Equations- page 453 - #19-26 (12/8- Tuesday)
Lesson 3: One-Step Equations with Rational Numbers - page 463 - #16-22 ( 12/9- Wednesday)
Lesson 4: Two-Step Equations - page 475 - #17-23 ( 12/10-12/13- Thurs, Fri, Sat, or Sun. Also use the weekend to get caught up on assignments 1-3 if you didn't finish!)
Lesson 5: Two-Step Equations with Distributive Property - p.487 - #15-23 ( 12/14-Monday)

*Use Tuesday 12/15 to get caught up on any assignments you may still need to complete!*

Unit 3 Homework. Homework for the first half of the unit will be due on November 4th.

Lesson 1: Algebraic Expressions - page 355 #’s 22 - 27
Lesson 3: Properties of Operations - page 373 #’s 17 - 26
Lesson 4: Distributive Property - page 381 #’s 27 - 40
Lesson 5: Simplifying Expressions - page 393 #’s 20-31

The following homework for the second half of the unit is due on November 19th!
Lesson 6: Adding Linear Expressions - page 401 #’s 18-24
Lesson 7: Subtracting Linear Expressions - page 409 #’s 17-26
Lesson 8: Factoring Linear Expressions - page 421 #’s 20-37
___________________________________________________________________________________________________________________________

Unit 2 Homework:
All homework can be found in your math book! Pace yourself and complete homework as you complete your Unit Map.

Homework for the first half of the unit (before the Mid-chapter test) will be due on October 12th!

1) Terminating/Repeating Decimals: page 269 #’s 25-35

2) Comparing and Ordering: page 277 #’s 17, 19-23

3) Add/Subtract Like Fractions: page 289 #’s 17-26

4) Add/Subtract Unlike Fractions: page 297 #’s 19-27

Homework for the second half of the unit is due on October 21st!

5) Add/Subtract Mixed Numbers: page 305 #’s 21-30

6) Multiplying Fractions: page 317 #’s 19-30

7) Dividing Fractions: page 333 #’s 16-22
___________________________________________________________________________________________________________________________

Unit 1 Homework: Homework for the entire unit will be due on September 17th! All work must be shown in order to receive full credit. Pace yourself and complete homework as you complete your Unit Map.

Homework #1 - Integer Basics -Can be completed after you have finished slide 9 in the BlendSpace

Homework #2 - Adding Integers -Can be completed after you have finished slide 12 in the BlendSpace

Homework #3 - Subtracting Integers -Can be completed after you have finished slide 12 in the BlendSpace

Homework #4 - Multiplying Integers -Can be completed after you have finished slide 15 in the BlendSpace

Homework #5 - Multiplying and Dividing Integers -Can be completed after you have finished slide 15 in the BlendSpace

Homework #6 - Application Problems -Can be completed after you have finished slide 15 in the BlendSpace

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Algebra Worksheets

Welcome to the Algebra worksheets page at Math-Drills.com, where unknowns are common and variables are the norm. On this page, you will find Algebra worksheets mostly for middle school students on algebra topics such as algebraic expressions, equations and graphing functions.

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Factoring Quadratic Expressions with "a" Coefficients of 1 (A)

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Systems of Linear Equations -- Two Variables (A)

Inverse Relationships -- Addition and Subtraction -- Range 1 to 9 (A)

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Solve One Step Equations with Smaller Values (A)

Missing Numbers in Equations (Variables) -- Division (Range 1 to 9) (A)

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This page starts off with some missing numbers worksheets for younger students. We then get right into algebra by helping students recognize and understand the basic language related to algebra. The rest of the page covers some of the main topics you'll encounter in algebra units. Remember that by teaching students algebra, you are helping to create the future financial whizzes, engineers, and scientists that will solve all of our world's problems.

Algebra is much more interesting when things are more real. Solving linear equations is much more fun with a two pan balance, some mystery bags and a bunch of jelly beans. Algebra tiles are used by many teachers to help students understand a variety of algebra topics. And there is nothing like a set of co-ordinate axes to solve systems of linear equations.

Inverse Relationships Worksheets

Inverse relationships worksheets cover a pre-algebra skill meant to help students understand the relationship between multiplication and division and the relationship between addition and subtraction.

Inverse relationships with one blank .

Exponent Rules and Properties

Practice with basic exponent rules .

As the title says, these worksheets include only basic exponent rules questions. Each question only has two exponents to deal with; complicated mixed up terms and things that a more advanced student might work out are left alone. For example, 4 2 is (2 2 ) 2 = 2 4. but these worksheets just leave it as 4 2. so students can focus on learning how to multiply and divide exponents more or less in isolation.

Linear Expressions & Equations

Linear equations worksheets including simplifying, graphing, evaluating and solving systems of linear equations.

Translating algebraic phrases in words to algebraic expressions.

Simplifying linear expressions (combining like terms) .

Adding/Subtracting and Simplifying linear expressions .

Rewriting linear equations.

Determining linear equations from slopes, y-intercepts, and points.

Graphing linear equations.

Extracting information from linear equations graphs.

You may have been intrigued by our comment above about solving linear equations with jelly beans. Here is how you might accomplish that. Ideally, you will want some opaque bags with no mass, but since that isn't quite possible (the no mass part), there is a bit of a condition here that will actually help students understand equations better. Any bags that you use have to be balanced on the other side of the equation with empty ones.

Probably the best way to illustrate this is through an example. Let's use 3x + 2 = 14. You may recognize the x as the unknown which is actually the number of jelly beans we put in each opaque bag. The 3 in the 3x means that we need three bags. It's best to fill the bags with the required number of jelly beans out of view of the students, so they actually have to solve the equation.

On one side of the two-pan balance, place the three bags with x jelly beans in each one and two loose jelly beans to represent the + 2 part of the equation. On the other side of the balance, place 14 jelly beans and three empty bags which you will note are required to "balance" the equation properly. Now comes the fun part. if students remove the two loose jelly beans from one side of the equation, things become unbalanced, so they need to remove two jelly beans from the other side of the balance to keep things even. Eating the jelly beans is optional. The goal is to isolate the bags on one side of the balance without any loose jelly beans while still balancing the equation.

The last step is to divide the loose jelly beans on one side of the equation into the same number of groups as there are bags. This will probably give you a good indication of how many jelly beans there are in each bag. If not, eat some and try again. Now, we realize this won't work for every linear equation as it is hard to have negative jelly beans, but it is another teaching strategy that you can use for algebra.

Solving linear equations with no "b" terms .

Solving ax = c Linear Equations Solving ax = c Linear Equations including negatives Solving x /a = c Linear Equations Solving x /a = c Linear Equations including negatives Solving a/x = c Linear Equations Solving a/x = c Linear Equations including negatives

Solving linear equations that include multiplication and "b" terms .

Solving ax + b = c Linear Equations Solving ax + b = c Linear Equations including negatives Solving ax - b = c Linear Equations Solving ax - b = c Linear Equations including negatives Solving ax ± b = c Linear Equations Solving ax ± b = c Linear Equations including negatives

Solving linear equations that include division and "b" terms .

Solving x /a ± b = c Linear Equations Solving x /a ± b = c Linear Equations including negatives Solving a/x ± b = c Linear Equations Solving a/x ± b = c Linear Equations including negatives Solving various a/x ± b = c and x /a ± b = c Linear Equations Solving various a/x ± b = c and x /a ± b = c Linear Equations including negatives

Solving linear equations that include all types and operations .

Linear Systems

Multiplying factors of quadratic expressions .

The factoring quadratic expressions worksheets below provide many practice questions for students to hone their factoring strategies. If you would rather worksheets with quadratic equations, please see the next section. These worksheets come in a variety of levels with the easier ones are at the beginning. The "a" coefficients referred to below are the coefficients of the x² term as in the general quadratic expression: ax² + bx + c.

Factoring quadratic expressions .

Whether you use trial and error, completing the square or the general quadratic formula, these worksheets include a plethora of practice questions with answers. In the first section, the worksheets include questions where the quadratic expressions equal 0. This makes the process similar to factoring quadratic expressions, with the additional step of finding the values for x when the expression is equal to 0. In the second section, the expressions are generally equal to something other than x, so there is an additional step at the beginning to make the quadratic expression equal zero.

Solving Quadratic equations that Equal Zero (e.g. ax² + bx + c = 0).

Solving Quadratic equations that Equal an Integer (e.g. ax² + bx + c = d).

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Math module 3 lesson 6

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3 rd Grade Math Expressions

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3rd Grade Math Expressions

Dr. Monica Hartman

March Agenda
  • Study Partners and Homework Helpers (30 Second Speech)
  • Routines for Learning the Multiplication Facts (Talking Chips)

  • Unit 8-12 Overview

  • Think Central Website

  • MCTM Math Vocabulary List

  • Closure- Dice Game

    Routines for Learning Basic Facts:30 Second Speech

    What you are going to do:

    How are Study Partners and Homework Helpers for learning the basic facts working in your classroom? Share a technique that you found to work best for you and your students.

    • Teachers: Write answer on a sticky note and prepare 30 second speech.
  • Presenter: Announces Partners

  • Presenter: Announces which partner goes first

  • Teacher A: Presents 30 second speech

  • Teacher B: Presents 30 second speech

  • Teachers: Thanks partner and sits down.

    Routines for Learning Basic Facts: Talking Chips

    Explain a routine for practicing the multiplication and division facts.

    • Number off in groups of 4
  • Teachers: Each person holds a chip

  • Presenter: Tell group what number is going to start

  • Teacher: One at a time, place chip in the center each time you talk. You cannot talk again until all team members have placed a chip down.

  • Team Share Out: Which routine was easiest for your group? Which was hardest?

    Routines for Learning Basic Facts: Talking Chips
    • Practice Charts and Study Plans (p.464)
  • Signature Sheet, Check Ups for Study Sheets, Study Sheet Answer Strips (p. 476-477)

  • Check Sheet, Check Sheet Answer Strips (p. 506)

  • Sprints, Signature Sheet (p.510); Multiplication Table with Finger Routine (p. 462-463)

    Team Share Out: Which routine was easiest for your group? Which was hardest?

    Routines for Learning Facts:Practice Charts

    When a new number is introduced a student’s homework page will include a practice chart.

    To practice the count-bys, cover the products in the In Order column with a pencil or a strip of heavy paper. Say the count-bys. Sliding the pencil or paper down to see each count-by.

    To practice the multiplications and divisions, cover the products in either In Order column or the Mixed Up columns.

    Remind students they must study the count-bys and practice the multiplications 5 minutes every night.

    Routines for Learning Facts:Study Plan

    Each day the student will list what they plan to study.

    Studying means practicing a column at least 6 times.

    When they are done, they should check the items they completed and ask their Homework Helper to sign on the line.

    Routines for Learning Facts:Study Sheet and Signature Sheets

    Each day, students use both a class and home study sheet. When ready for a check up, a partner tests the student and lightly marks with a pencil any that are wrong. If all are correct, the partner signs the signature sheet.

    Routines for Learning Facts:Check Sheets

    Check sheets can be used individually, with partners, or in groups. (See page 506)

    Individually, students cover the answer with a strip of paper or a pencil, uncovering the answers as they say them. They can also cover a factor.

    In pairs, one student reads the problem and the other student answers.

    In groups, one student reads the problem and the other students take turns responding.

    To use as a check up, use Check Sheet Answer Strips ( TRB M55) to record answers.

    Routines for Learning Facts:Sprints

    Individually, read the Sprints for 6s on page 666, pausing a few seconds between each one. Students write only the answers. (Sprints for 5s are introduced in Chapter 7 on page 510. )

    Student pairs check one another’s work as you read the answer. If the student gets all the answers correct, the partner initials the Signature Sheet.

    Routines for Learning Facts:Establish Routine

    Take out materials quickly and get started.

    Set a timer for 2 or 3 minutes for each partner to test each other.

  • Study Sheet (A, B, or C)

  • Study Sheet Answer Strips (M54 and M55)

  • Dry Erase Marker

  • Check Sheets (School and Home)

  • Add and Subtract Linear Expressions Notes

    Add and Subtract Linear Expressions

    BetterLesson Community Feedback

    My kids are doing GREAT with your lessons and your pacing. Thank you so much for sharing. I teach at a Title 1 school. My kids have scored above the county average on their MOY benchmark test.

    Thank You so much for sharing. I couldn't agree with you more on the practice aspect. we only get good at something when we practice! I have also found that lining up the problems vertically helps them so much. And the more they practice in class, where I am there to guide/redirect/clarify, the more it makes sense to them.

    No comments at this time. Add yours above.

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    Education World: Linear Equations Game

    Game cards help pair up students to solve linear equations for the value of a variable.

    Students practice solving linear equations for one variable.

    equation, linear equation, variable, algebra

    Materials Needed [shopmaterials]

    • a set of cards with equations written on them (see Before the Lesson below)
    • notebooks/paper
    • chalk and blackboard, or markers and whiteboard

    Before the Lesson
    This game is planned for use with 30 students; however, more cards can be made for play in a larger-sized class. Students might help you to prepare the 30 game cards, or the cards might be prepared in advance. Each card should have a letter of the alphabet (in this case, A to O) written on it along with a linear expression; there will be two different cards with the same letter and different linear expressions. For example, see the list below. For the letter A there are two cards:

  • one card has A written on it with the linear expression 4x + 2 -8x
  • the other card has A written on it with the linear expression 3x Create additional pairs of cards with the following letters and linear expressions.

    If you have a class of 30 students, shuffle the set of 30 cards and distribute a card to each student. (If you have fewer or more students, shuffle a set of letter cards for each pair of students.) Allow students who get the same alphabet cards to sit together and solve the equation for the value of the variable. For example, the pair of students who got the two cards with the letter A on them will solve for x in the linear equation

    Once students have solved their equations, you might place lettered slips (in this games example, one slip with each letter A to O) in a bowl or hat. Draw out a slip and read the letter that is written on it. Invite the pair of students who have that letter on their cards to come up to the board to show how they solved their equation. If they do it correctly they win that round of the game.

    Let all student pairs who correctly solved their equations play another round of the game (with new cards or the same ones). With each repeat of the game, you will eliminate more pairs of students. Play until you have a final winner (a pair of champions).

    Thus, the game can be used to motivate and provide drill in solving linear equations in one variable.

    Below you will find the step-by-step solution to each of the equations.

    Card D
    6x + 16 = 2x 12
    6x 2x = -12 16
    4x = -28
    x = -28 /4 = -7

    Card K
    20x + 10 = 4 10
    20x = 4 10 10
    20x = -16
    x = -16/20 = -4/5

    Card L
    15p 5 = 10p + 10
    15p 10p = 10 + 5
    -5p = 15
    p = 15/-5 = -3

    Card M
    11x + 33 = 55
    11x = 55 33
    11x = 22
    x = 22/11 = 2

    Card N
    (6x-5)/2 = (3x+6)/2
    [The numerators are equal as the fractions are equal and the denominators are same.]
    6x 5 =3x + 6
    6x - 3x = 6 + 5
    3x = 11
    x = 11/3

    Ms. Madhavi Dhande, Sree Chaitanya Public School in Delhi, India

    Education World®
    Copyright © 2007 Education World

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