Alg 2 4.13.15 Solving Systems of Equations Foldable and...

Alg 2 – 4.13.15Solving Systems of Equations Foldable and Problems

Do Now –Convert 2x – 6y = -12 to slope-intercept form and graph.

Agenda1. Do Now2. Warm up3. Goals & Objectives4. Solving systems of equations

foldable5. Solving systems by equations

practice5. Closure/Exit ticket

Warm UpDo I have enough money to do a load of laundry at the laundry mat?6 quarters to wash2 quarters to dry

Goal: I will learn three ways to solve a system of equations.

Objective: I can explain the three ways to solve a system of equations.

Make your own foldable on Solving Systems of Equations

On your foldable, write the main heading

Solving Systems of Equations

Continue to write more headings.

Solving Systems of Equations

Definition

Graphing

More headings

Solving Systems of Equations

Substitution

Elimination

Last heading

Solving Systems of Equations

Types of Solutions

Under first flap, write:“A system of equations is 2 or more equations.”

Solving Systems of Equations

Under the second flap, write:1) Convert equations into slope-intercept form.2) Graph the y-intercept3) Start at the y-intercept, and use the slope to find the next point.4) Draw the line5) Repeat Solving Systems of Equations

Example solving by graphing problem for the foldable:

𝐲 =𝟏

𝟑𝒙 + 𝟏 𝒂𝒏𝒅 𝒚 = 𝟐𝒙 − 𝟒

Practice problem #1:

𝒚 = −𝟐

𝟑𝒙 + 𝟏 𝒂𝒏𝒅 𝒚 = −

𝟐

𝟑𝒙 + 𝟑

Practice Problem #2:

𝒚 = 𝟒𝒙 + 𝟑 𝒂𝒏𝒅 𝒚 = −𝒙 − 𝟐

Under the third flap, write:1) Solve for one variable in terms of the other.2) Substitute the expression into the other equation.3) Solve for one variable.4) Solve for the other variable.5) Check your solution.6) Write as an ordered pair. Solving Systems of Equations

Problem using substitution for your foldable:

2x + y = -1 and x = 2y - 13

Practice Problem using substitution :

y = -3x + 5 and 5x – 4y = -3

(1,2)

2nd practice problem using substitution :

y = 5x – 7 and -3x – 2y = -12

(2.3)

Under the fourth flap, write:1) Convert equations (if necessary) to up the x-terms, y-terms, =, and constants.2) Decide which variable is easier to eliminate.3) Multiply one or both of the equations by a number (if necessary)4) Combine the equations.5) Solve for one variable.6) Solve for the other

variable.7) Check your solution.8) Write your solution as an ordered pair.

Solving Systems of Equations

Example problem solved by elimination for your foldable:3x + y = 2 and x – 2y = 10

(2,-4)

Example practice problem #1:

-7x + y = -19-2x + 3y = -19

(2,-5)

Example practice problem #2:16x – 10y = 10-8x – 6y = 6

(0,-1)

Under fifth flap, draw and write:

One point No solution Infinite Solutions

Lines intersect Parallel lines Same line

Exit ticket:*Describe, in your own words, the three ways you can solve a system of equations.*Describe how you might decide which method would be the best to use for particular cases.