Homework 2 Solving Systems By Substitution Calculator

Wed 10/26

 

Begin Solving Systems of Equations  Solving Sys by Graphing Notes

a look at solutions to systems

Solving by looking at the graph by hand and using the graphing calculator

  

Math Review 6.3

 

Graphing Calculator Activity.   Need to get from me

 

HW:  Decide whether the ordered pair is a solution to the system (10 qts)

 

  

Worksheet solving systems using graphing

 

HW:   Solving Systems of Equations by Graphing

 

 

 

 

Fri 10/28

 

 Math Review Quiz 6

 

 Solving Sys by graphing 4 graphs--

 

  HW:  Battl mine Activity   or Kuta graphing practice  Systems graphing activity with space ships

 

 

 HW:   Geogebra

 

GeoGebra Worksheet Solving Systems of Linear Equations

 

  Part1 Geogebra Video

 

Part2 Geogebra Video

 

Full Video for Geogebra Worksheet   (takes longer to download) 

 

 

 

Tues 11/1

 

Math Review 7.1---7.3

 

Begin Solving Systems of equations by substitution

When 1 equation is solved for a variable.

 

 Solving Systems by Substitution Notes deciding which variable to solve for

 

 Solving by substitution notes deciding which variable to solve for

 

 HW:  6.2 A Solving Systems by substitution (isolated)

 

 Systems worksheet substitution all solved for x or y

 

 

 

Thurs 11/3

Math Review 7.2

Math Review 7.1---7.3

 

Solve Systems of equations by substitution (day 2)  

need to solve 1 equation for a variable first.

 

Distributing Review Activity-walk around

 

Quizletlive

 

HW:  More practice solving systems

 

 

 

 

 

  

Mon  11/7

 

 

Math Review 7.3

 

Short Quiz over solving systems by substitution and CFA

  

Kahoot--distributive review  &/or card substitution activity--yellow/green

 

 

 

 

 

Thurs  11/10

 

Math Review Quiz #7

 

    Troll Problem with GREEN Worksheet

                        VIDEO HERE 

  

Relay Math Review over Solving systems with graphing and substitution

 

 

Video Review of How to Solve a System by Graphing

 

HW:   

 

 More Prac Solving Systems of Equations using Substitution  

 

 

      Homework Worksheet 

       Homework HELP:  videos below

                  Problem 3

                  Problem 8 

                               Problem 15 

 

 

 

Mon 11/14 

 

Math Review 8.1  Math Reviews 8.1--8.3

 

Wrapped up Centipede Bug Part 2, Part 2--looking at 3 equations.

 

Continued with Systems.  Comparing 2 costs/ 2 companies.  Station work

 

HW:  2 problems--comparing costs 

 

 

 

 

 

 

 

 

 

Wed 11/16 

 

 Math Review 8.2

 

Spent time going over the homework

 

Solved systems of equations (word problems)  See graphic

 

HW:  Finish the 5 of the 6 above.

 

 

 

 

 

Fri  11/18 

 

Math Review 8.3--turn in to sub

 

Watch the following videos reviewing solving systems by substitution and linear combinations (elimination).  

 Review of Solving by substitution

Review of Solving by Elimination 

 

Complete 7.2 Reteach with practice & 7.3 Reteach with practice--handouts from the sub.

 

HW:  Handout from sub--Solve by substitution--complete 5 problems.   On the back, Elimination, complete all 6.  

 

 

 

 

 

 

Tues 11/22

 

Math Review Quiz #8

 

Clean up from last Friday--going over the HW

 

Continue Solving Systems using choice method.  Looking at 6 word prolems

 

CFA  --

 

HW:  7.1--7.3  Solve the System

 

 

 11/30

 

Continued to review Systems---

 

Jeopardy

 

 

 

 

 

12/2

 

Test over Systems

 

See videos in Classroom over inequalities

 

 

 

 

 

 

 

 

 

 

 ____________________________________________________________________

 Lesson  Opener  Bellwork 11 17

  

 

 Video:  What Students Really Need to Hear 

  

Bellwork 11 12 

 

 Kahoot graphing review

 

Bellwork 11 21

Solving System of Linear Equations: (lesson 1 of 5)

Substitution Method

The substitution method is most useful for systems of 2 equations in 2 unknowns. The main idea here is that we solve one of the equations for one of the unknowns, and then substitute the result into the other equation.

Substitution method can be applied in four steps

Step 1:

Solve one of the equations for either x = or y = .

Step 2:

Substitute the solution from step 1 into the other equation.

Step 3:

Solve this new equation.

Step 4:

Solve for the second variable.


Example 1: Solve the following system by substitution

Solution:

Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.

Step 2: Substitute the solution from step 1 into the second equation.

Step 3: Solve this new equation.

Step 4: Solve for the second variable

The solution is: (x, y) = (10, -5)

Note: It does not matter which equation we choose first and which second. Just choose the most convenient one first!


Example 2: Solve by substitution

Solution:

Step 1: Solve one of the equations for either x = or y =. Since the coefficient of y in equation 2 is -1, it is easiest to solve for y in equation 2.

Step 2: Substitute the solution from step 1 into the second equation.

Step 3: Solve this new equation ( for x ).

Step 4: Solve for the second variable

The solution is: (x, y) = (1, 2)

Exercise: Solve the following systems by substitution

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