Math With Mrs. Molina
There are two things we must give children: the first one is roots and the other wings., unit 3: equations and inequalities, click here to go to the ixl website for all kinds of 8th grade topics and review problems..
What is an equation?
Examples: 4 + 3 = 7 or 3x + 5 = 10
An equation is a number sentence. We call it an equation because it has an equal sign.
The 5 Steps to Writing an Equation or Inequality
Step 1. read and underline the question, step 2. find your χ (your variable/unknown) and box it, step 3. circle the math words (product, quotient, each, per, together, sum, difference, squared ), step 4 . replace the operation words with their symbols ( • , + , – , ÷ , / , = , < , > , ≤ , ≥ ,√ , ≠ , ² , ³ ), step 5. write the equations.
Don’t forget our cool ‘dance’ we did to remember this!
WRITING EQUATIONS PRACTICE PROBLEMS:
Click here to practice Writing Equations online and get automatic feedback (it grades it)! 🙂
With Equations, Inequalities and Expressions we always want to combine like terms 1st!
Here is an example on how to do that:
Once all like terms have been combined then we can solve.
Solving Equations with Models
To create your own equations using models click here !
MODELING EQUATIONS PRACTICE PROBLEMS:
Click here to practice Modeling Equations online and get automatic feedback (it grades it)! 🙂
Solving Equations Algebraically
Here is another example solving algebraically, solve √(x/2) = 3.
And the more “tricks” and techniques you learn the better you will get.
Here is an example of how we solved equations in class:
SOLVING EQUATIONS (with variables on both sides PRACTICE PROBLEMS:
Click here or here to practice Solving Equations online and get automatic feedback (it grades it)! 🙂
Systems of Equations
For information on systems of equations click here ., simple vs. compound interest, introduction to interest :.
http://www.mathsisfun.com/money/interest.html
SIMPLE INTEREST
I = Prt
- I = interest owed [$] (this is ONLY the interest borrowed)
- P = amount borrowed (called “Principal”) [$]
- r = interest rate [%] (you have to divide the percent by 100) For information On Percents click here !
- t = time [years]
Simple interest is money you can earn by investing some money (the principal). The interest (percent) is the rate that makes the money grow!
COMPOUND INTEREST
A = P(1+r)^t
- A = All of it / Actual / total amount owed (this amount includes the interest and the principal) [$]
- P = amount borrowed (called “Principal”) [$]
- r = interest rate [%]
Compound interest is very similar to simple interest. The difference is that compound interest grows much faster ! The reason it grows faster is because the interest (percent) has an exponent .
********** MAKE SURE TO READ THE QUESTION AND SEE EXACTLY WHAT IT IS ASKING DOES IT JUST WANT THE INTEREST OR THE TOTAL (All of it) ???????? *************************
For information on compound interest click here.
SIMPLE INTEREST PRACTICE PROBLEMS:
Click here or here to practice Simple Interest online and get automatic feedback (it grades it)! 🙂
COMPOUND INTEREST PRACTICE PROBLEMS:
Click here or here to practice Compound Interest online and get automatic feedback (it grades it)! 🙂
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Equations and Inequalities (Math 7 Curriculum - Unit 3) | All Things Algebra®
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Description
This Equations and Inequalities Unit Bundle includes guided notes, homework assignments, three quizzes, a study guide, and a unit test that cover the following topics:
• One-Step Equations with Addition and Subtraction
• One-Step Equations with Multiplication and Division
• One-Step Equations with Rational Numbers (Decimals and Fractions)
• Translating One-Step Equations
• One-Step Equation Word Problems
• Two-Step Equations
• Translating Two-Step Equations
• Two-Step Equations Word Problems
• Multi-Step Equations (Variables on One Side)
• Multi-Step Equations (Variables on Both Sides)
• Writing and Graphing Inequalities
• Solving One-Step Inequalities
• Solving Two-Step Inequalities
• Translating One- and Two-Step Inequalities
• One- and Two-Step Inequality Word Problems
ADDITIONAL COMPONENTS INCLUDED:
(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice. Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations. (2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.
(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes; this is the PDF in Google Slides. I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead!
How does this unit compare to your Pre-Algebra Equations and Inequalities Unit? This unit is similar in that it contains similar topics. However, all material has been rewritten to ensure there is no duplication. The biggest differences between this Math 7 unit and Pre-Algebra Curriculum include no square roots equations, special solutions, multi-step equation word problems, or multi-step inequalities. The material is also presented at a slighter slower pace.
This resource is included in the following bundle(s):
Math 7 Curriculum
More Math 7 Units:
Unit 1 – Number Sense
Unit 2 – Expressions
Unit 4 – Ratios, Proportions, and Percents
Unit 5 – Functions and Graphing
Unit 6 – Geometry
Unit 7 – Measurement: Area and Volume
Unit 8 – Probability and Statistics
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable , meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at [email protected].
COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.
© All Things Algebra (Gina Wilson), 2012-present
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Unit 7: Equations & inequalities
About this unit.
Solving equations is a superpower. It means we can model a situation with an equation in any way that makes sense to us, even with an unknown value in the middle. Inequalities are for situations with many true options, like how many pages I can send in my letter using just 1 stamp.
Algebraic equations basics
- Variables, expressions, & equations (Opens a modal)
- Testing solutions to equations (Opens a modal)
- Intro to equations (Opens a modal)
- Testing solutions to equations Get 5 of 7 questions to level up!
One-step equations intuition
- Same thing to both sides of equations (Opens a modal)
- Representing a relationship with an equation (Opens a modal)
- Dividing both sides of an equation (Opens a modal)
- One-step equations intuition (Opens a modal)
- Identify equations from visual models (tape diagrams) Get 3 of 4 questions to level up!
- Identify equations from visual models (hanger diagrams) Get 3 of 4 questions to level up!
- Solve equations from visual models Get 3 of 4 questions to level up!
One-step addition & subtraction equations
- One-step addition & subtraction equations (Opens a modal)
- One-step addition equation (Opens a modal)
- One-step addition & subtraction equations: fractions & decimals (Opens a modal)
- One-step addition & subtraction equations Get 5 of 7 questions to level up!
- One-step addition & subtraction equations: fractions & decimals Get 5 of 7 questions to level up!
One-step multiplication and division equations
- One-step division equations (Opens a modal)
- One-step multiplication equations (Opens a modal)
- One-step multiplication & division equations (Opens a modal)
- One-step multiplication & division equations: fractions & decimals (Opens a modal)
- One-step multiplication equations: fractional coefficients (Opens a modal)
- One-step multiplication & division equations Get 5 of 7 questions to level up!
- One-step multiplication & division equations: fractions & decimals Get 5 of 7 questions to level up!
Finding mistakes in one-step equations
- Finding mistakes in one-step equations (Opens a modal)
- Find the mistake in one-step equations Get 3 of 4 questions to level up!
One-step equation word problems
- Modeling with one-step equations (Opens a modal)
- Translate one-step equations and solve Get 3 of 4 questions to level up!
- Model with one-step equations Get 3 of 4 questions to level up!
- Model with one-step equations and solve Get 3 of 4 questions to level up!
Intro to inequalities with variables
- Testing solutions to inequalities (Opens a modal)
- Plotting inequalities (Opens a modal)
- Plotting an inequality example (Opens a modal)
- Inequalities word problems (Opens a modal)
- Graphing inequalities review (Opens a modal)
- Testing solutions to inequalities (basic) Get 3 of 4 questions to level up!
- Graphing basic inequalities Get 3 of 4 questions to level up!
- Inequality from graph Get 3 of 4 questions to level up!
- Plotting inequalities Get 3 of 4 questions to level up!
- Inequalities word problems Get 3 of 4 questions to level up!
Dependent and independent variables
- Dependent & independent variables (Opens a modal)
- Dependent & independent variables: graphing (Opens a modal)
- Dependent and independent variables review (Opens a modal)
- Independent versus dependent variables Get 3 of 4 questions to level up!
- Tables from equations with 2 variables Get 3 of 4 questions to level up!
- Match equations to coordinates on a graph Get 3 of 4 questions to level up!
Analyzing relationships between variables
- Writing equations for relationships between quantities (Opens a modal)
- Analyzing relationships between variables (Opens a modal)
- Equations and inequalities FAQ (Opens a modal)
- Relationships between quantities in equations Get 3 of 4 questions to level up!
- Analyze relationships between variables Get 3 of 4 questions to level up!
IMAGES
VIDEO
COMMENTS
difference, minus, less than, subtracted from, decreased by, take away. product, times, multiplied by, of, per, twice, triple, double. The form px+q=r. the relationship between two numbers that are not equal. Uses symbols like less than ( < ) and greater than ( > ) Key words from unit 3 Learn with flashcards, games, and more — for free.
Unit test. Level up on all the skills in this unit and collect up to 1,100 Mastery points! There are lots of strategies we can use to solve equations. Let's explore some different ways to solve equations and inequalities. We'll also see what it takes for an equation to have no solution, or infinite solutions.
Steps To Solving Systems Of Inequalities By Graphing: First graph boundary lines and decide whether the boundary lines are included. Then decide which side of the boundary lines to shade. If < or >, boundary not included; use dashed line. If ≤ or ≥, boundary included; use solid line.
Equations. What is an equation? Examples: 4 + 3 = 7 or 3x + 5 = 10. An equation is a number sentence. We call it an equation because it has an equal sign. The 5 Steps to Writing an Equation or Inequality Step 1. Read and underline the question Step 2. Find your Χ (your variable/unknown) and BOX it Step 3.
The steps to solve an equation with decimals or fractions are exactl the same! Locate the variable. Determine the operation tied to the variable. Use inverse operations on both sides of the equal sign to solve. Check your solutionl Directions: Solve each equation. Check all solutions. Date: Class: -3.15: -z.scl.s) -3-1s -3-1M -1.2 —6.2 + 1.25 ...
This Equations and Inequalities Unit Bundle includes guided notes, homework assignments, four quizzes, a study guide, and a unit test that cover the following topics: • One-Step Equations. • Rational Equations. • Two-Step Equations. • Solving Equations by Square Roots.
the order in which operations in an expression to be evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4. addition and subtraction
Worksheets are Unit 3 linear systems, Algebra i, Equations inequalities, Algebra 1 unit 2 equations and inequalities answer key, 8th math unit 3, Unit 1 equations and inequalities answers, Solving inequalities 4 directions x examples, Georgia standards of excellence curriculum frameworks. *Click on Open button to open and print to worksheet.
Basic Algebra: Unit 3 Equations and Inequalities Equations and Inequalities • An equation involves an equal sign and indicates that two expressions have the same value. x+42 = 67(4−x) is an equation, and means x+42 has the same value as 67(4−x). • Equivalent equations are equations that have exactly the same solution.
This Equations and Inequalities Unit Bundle includes guided notes, homework assignments, three quizzes, a study guide, and a unit test that cover the following topics: • One-Step Equations with Addition and Subtraction. • One-Step Equations with Multiplication and Division. • One-Step Equations with Rational Numbers (Decimals and Fractions)
Equations and Inequalities Unit Test Unit Test EQUATIONS AND INEQUALITIES OVERVIEW WPPOPTINC 6. IOA Model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts. PIC IDEAS 6.9A Write one-variable, one-step equations and inequalities to represent constraints or conditions within problems.
Unit 5 - Systems of Equations & Inequalities (Updated October 2016) copy. Name: Date: Unit 5: Systems of Equations & Inequalities Homework 1: Solving Systems by Graphing ** This is a 2-page document! ** Solve each system of equations by graphing. Clearly identify your solution. -16 — 6y = 30 9x + = 12 +4 v = —12 O Gina Wilson (All Things ...
See Answer See Answer See Answer done loading Question: Unit 1: Equations & Inequalities Homework 3: Solving Equations page document! ** 2-3.96-23) 2.-3-9(5-2k) Show transcribed image text
Systems of Equations (Graphing & Substitution) Worksheet Answers. Solving Systems of Equations by Elimination Notes. System of Equations Day 2 Worksheet Answers. Solving Systems with 3 Variables Notes. p165 Worksheet Key. Systems of 3 Variables Worksheet Key. Linear-Quadratic Systems of Equations Notes.
Unit test. Level up on all the skills in this unit and collect up to 2,200 Mastery points! Start Unit test. Solving equations is a superpower. It means we can model a situation with an equation in any way that makes sense to us, even with an unknown value in the middle. Inequalities are for situations with many true options, like how many pages ...
For questions I -8, solve the equation. Unit 3 Test Equations & Inequalities Show all work and check each solution. 2. 4.5 s. W For questions 9-10, translate the equation using a variable, then solve. Check each solution. 9. "The quotient of number and 10. "Seven subfracted from a number is -18." 2017 Unit Test Study Quide (Equations ...
Unit 8 - Systems of Equations and Inequalities. 8.1 Solving Systems by Graphing. 8.2 Solving Systems by Substitution. 8.3 Solving Systems by Elimination. 8.4 Solving Special Systems.
File Size: 323 kb. File Type: pdf. Download File. AP Learning Objectives: 3.10.A Solve equations and inequalities involving trigonometric functions. *AP® is a trademark registered and owned by the CollegeBoard, which was not involved in the production of, and does not endorse, this site.
Algebra questions and answers. Name: Date: Unit 2: Equations & Inequalitles Homework 10: Multh-Step Inequalities Bell:_ Directions: Solve and express the fol lowing inequaities in interval L. 3 interval Notation: Interval Notation: 3.5+8)-7s 23 sx + 33 느 23 3373 Interval Notation: Interval Notation: 6. 2x +5 s 3x- 10 Interval Notation ...
Find step-by-step solutions and answers to Algebra 1 Common Core - 9780133185485, as well as thousands of textbooks so you can move forward with confidence. ... Systems of Equations and Inequalities. Section 6-1: Solving Systems by Graphing. Section 6-2: Solving Systems Using Substitution. ... Section 8-3: Multiplying Binomials. Section 8-4 ...
Transcribed Image Text: (a) Consider the equation y = x² - 2x. What curve does this represent in R²? Make a sketch of the curve. (b) What surface does the equation in (a) above represent in R³? Make a sketch of the surface. (c) If we now had the equation z = y²-2y, describe the features of this surface in R³, and describe how we could use ...
Unit 3 Solving Equations and Inequalities. x = -7. Click the card to flip 👆. -3x - 4x = 35. Click the card to flip 👆. 1 / 20.