Solving Systems of Equations with Substitution 2

Presentation

•

Mathematics

•

8th Grade

•

Medium

•

CCSS

8.EE.C.8B, 8.EE.C.7B, HSA.REI.C.8

Standards-aligned

Guy May

Used 43+ times

FREE Resource

6 Slides • 12 Questions

Solving Systems of Equations with Substitution (Day 2)

Multiple Choice

What is a system of equations?

a set of equations

a calculator

one equation that can be solved by a system of steps

a equation that can not be solved.

~REMEMBER~

A system of equations is a set of equations.

When solving we can have no solution, one solution, or an infinite number of solutions.

If there is one solution the solution is a coordinate with a x and y value.

(X, Y)

Multiple Choice

Given the system

y = 2x + 1

3x + y = -9

What should be substitute into the second equation for y?

WARNING - You need to write this down!

3x + y

-9

2x + 1

Multiple Choice

After substituting the expression in our new equation is____________.

3x + 2x + 1 = -9

2x + 3 = -9

3x + x = -9

None of these.

So the equation is.....

3x + 2x + 1 = -9

Multiple Choice

What is the value of x?

x = 4

x = -2

x = -3

x = -4

How did we get x?

Multiple Choice

Are you done?

Multiple Choice

Please solve for y.

Hint - You substitute your value for x in either equation to find y.

y = -3

y = 3

y = 2

y = -2

How did we get y?

Multiple Choice

Then the solution to the system is..........

(-3,-2)

y = -3

(-2,-3)

There is no solution the lines are parallel.

Poll

So what do you think?

I am totally lost

I am starting to get it

feeling good

piece of cake!

Multiple Choice

Please try this one!

y = x - 8

y = 5x

I have an answer!

I am stuck....

Not sure where to start

Did you get a solution of (-2, -10)? How?

y = x - 8

y = 5x

Substitute 5x for y: 5x = x - 8
Subtract x from both sides: 4x = -8
Divide both sides by 4: x = -2
Find y by substituting -2 in for x: y = 5(-2)
y = -10
Therefor the solution is (-2,-10)

Multiple Choice

Lets try another!

y = x + 11

y = 12x

(1, 12)

(12, 1)

(-12, -1)

(-1, -12)

Multiple Choice

y = 2x -3

x + y = 18

(10,8)

(7,11)

(19, -1)

(0, 18)

Multiple Choice

Last One!

x + 14y = 84

2x - 7y = -7

(3, -7)

(5, 14)

(14, 5)

(-7, 3)

Solving Systems of Equations with Substitution (Day 2)

Show answer

Auto Play

Slide 1 / 18

SLIDE

Similar Resources on Wayground

14 questions

Percents

Presentation

•

8th Grade

12 questions

Graphing/Functions

Presentation

•

8th Grade

14 questions

08.02 Solve Systems of equations by graphing

Presentation

•

8th Grade

11 questions

Factoring General Trinomials

Presentation

•

8th Grade

15 questions

Line of Best Fit

Presentation

•

8th Grade

15 questions

Solving Multi-Step Equations Practice

Presentation

•

8th Grade

11 questions

Perfect Squares and Square Roots

Presentation

•

8th Grade

11 questions

Dialation

Presentation

•

8th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade