# 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** &

__--handouts from the sub.__

**7.3 Reteach with practice**

**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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