8th Alg - L6.8--Jan30
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The document provides instructions and lesson content for assignment on systems of inequalities. It includes: 1) A list of 3 assignment tasks - solving practice problems, completing a review handout, and preparing for a test. 2) Examples of graphing individual inequalities on a coordinate plane. 3) An explanation of systems of inequalities as sets of two or more inequalities with the same variables, and how their solutions are represented by the overlap of the inequality graphs. 4) Worked examples of graphing systems of inequalities and identifying their solution sets.
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![Lesson 6.8 WarmUp:
Graph the following inequalities on a
coordinate plane. [Lesson 5.6]
1) y > x 3
2) y < 2x + 1
3) y > 2x + 6
4) 3x + 4y > 12
5) 3x 2y < 4
2](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
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The document provides instructions and examples for lesson 8.6 on factoring polynomials and solving quadratic equations. It includes assignments due on Wednesday 4/4 and a chapter 8 test on Thursday 4/5. Warm up examples factor polynomials completely. The lesson explains how to factor perfect square trinomials and follow steps to factor polynomials. Example problems have students factor polynomials if possible or write "prime" if not factorable. Additional examples have students solve quadratic equations by factoring or taking the square root of each side.
8th Alg - L6.3--Jan12
1. The document provides instructions for an assignment that is due on Thursday January 19th. It includes completing problems 1-22 from pages 351-352 of the textbook and Checkpoint 6.1-6.2.
2. Warmup problems involve graphing linear systems to solve for x and y. Example problems demonstrate using substitution and elimination methods to solve linear systems algebraically.
3. The steps for using elimination to solve a system are: write the system with like terms aligned, eliminate one variable by adding or subtracting equations, solve for the remaining variable, then substitute back into one equation to solve for the other variable.
Graph Period 1-2
The document discusses using coordinate planes and axes to plot points and graphs. It explains that every point on a coordinate plane has an x-coordinate and y-coordinate. Various examples are given of plotting lines defined by equations on the same set of axes, such as lines where x + y = a constant or y = mx + b. A series of questions are also provided asking to plot multiple graphs defined by equations on the same set of axes.
Teoria y problemas de sistema de ecuaciones lineales se44 ccesa007
This document discusses solving systems of equations. It provides 10 examples of systems with 2 equations and asks the reader to find the value of an expression involving x and y. For each example, it shows the steps to isolate x and y in each equation and determine their point of intersection. The solutions are provided after each example.
8th Alg - L6.5 - Jan23
This document provides instructions and examples for solving systems of equations using elimination and substitution. It includes 20 practice problems for students to complete using these methods, with examples worked out step-by-step demonstrating how to set up and solve different types of systems of equations algebraically. The document emphasizes choosing the best solution method based on the given equations and provides context for writing and solving a word problem as a system of equations.
7.3
The student will be able to solve systems of equations using elimination with addition and subtraction. There are 5 steps to solving a system by elimination: 1) put the equations in standard form, 2) determine which variable to eliminate, 3) add or subtract the equations to eliminate the variable, 4) plug back into one equation to find the other variable, and 5) check the solution by substituting into both original equations. Two examples are provided to demonstrate the process.
7.3
The student will learn to solve systems of equations using elimination with addition and subtraction. This involves putting the equations in standard form, eliminating one variable by adding or subtracting the equations, solving for the eliminated variable, plugging back into one equation to solve for the other variable, and checking the solution. Two examples are shown of solving systems of two equations with two variables using this elimination method.
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M A T H E M A T I C A L M E T H O D S J N T U M O D E L P A P E R{Www
M A T H E M A T I C A L M E T H O D S J N T U M O D E L P A P E R{Www
Teoria y problemas de sistema de ecuaciones lineales se44 ccesa007
Teoria y problemas de sistema de ecuaciones lineales se44 ccesa007
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8th Alg - L6.8--Jan30
- 2. Lesson 6.8 WarmUp: Graph the following inequalities on a coordinate plane. [Lesson 5.6] 1) y > x 3 2) y < 2x + 1 3) y > 2x + 6 4) 3x + 4y > 12 5) 3x 2y < 4 2
- 3. Lesson 6.8: *system of inequalities a set of 2 or more inequalities with the same variables **The solution set of a system of inequalities is represented by the overlap, or intersection, of the graphs...shown by shading ***Remember...To graph a linear inequality: < or > means a dashed line (not included) < or > means a solid line (included) And...test a point to determine which "halfplane" will be shaded 3
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- 5. B) y < 3 x + y > 1 Y X 5
- 6. C) 2x + y > 2 2x + y < 4 Y X 6
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