What variable do you eliminate? 4x + 8y = 20 −4x + 2y = −30

X because they have opposite signs

Y because they have opposite signs

What is the solution of the system of equations shown in the graph? Write your answer as an ordered pair.

( 1 , 2 ) \left(1,2\right) ( 1 , 2 )

( − 2 , − 3 ) \left(-2,-3\right) ( − 2 , − 3 )

What is the best first step to solve this system by elimination?

Add the equations to eliminate y

Subtract the equations to eliminate y

Multiply the second equation by 3.

Multiply the first equation by 2

What is the best first step to solve this system by elimination?

Multiply the second equation by 2

Add the equations to eliminate y

Multiply the first equation by 2

Add the equations to eliminate x

What is the first step in solving a system by Substitution?

Make sure at least one equation is solved for one variable.

Make sure both equations are in standard form.

Make sure both equations are in slope-intercept form.

Why does substitution help us solve a system of equations?

It changes one variable to an expression using the other variable, so we can solve an equation that only has one variable at a time.

It creates a problem with fewer steps.

It puts both equations in slope-intercept form for easy graphing.

What is the first step in solving a system by graphing?

Write both linear equations in slope-intercept form

Compare the slopes of both equations

Write both equations in standard form

How can you tell if a point is a solution to a system?

The (x,y) coordinates satisfy both equations

It makes the first equation true.

It makes neither equation negative

What are the steps for graphing a line?

1. Plot y-intercept 2. count slope ratio plot second point 3. Draw the line.

1. Make a table 2. Plot slope 3. Draw line

1. Plot two points 2. Check slope 3. Draw line

1. Draw line 2. Hope it is right

Systems Review (BEAR Time)

Quiz

•

Mathematics

•

6th - 8th Grade

•

Practice Problem

•

Medium

•

CCSS

8.EE.C.8B, HSA.REI.C.6, 8.EE.B.6

+5

Standards-aligned

Morgan Altergott

Used 1+ times

FREE Resource

35 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The solution to a system of equations is any ordered pair that makes both equations true.

TRUE

FALSE

Tags

CCSS.HSA.REI.C.9

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

^{What is the solution?}

1

-2

(1, 2)

(1, -1)

Tags

CCSS.8.EE.C.8B

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

This system has _____ solutions

0

1

2

Infinitely many

Tags

CCSS.8.EE.C.8B

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What variable do you eliminate, and what do you multiply the equation(s) by?
5x + y = 9
10x − 7y = −18

You eliminate x, and multiply the top equation by 11

You eliminate y, and multiply the top equation by 7

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the system given:
3x - y = 7
2x + y = 3

(-1,2)

(5,4)

(4,5)

(2,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the following systems of equations using substitution:

x = 6
y = 2x - 3

(6, 6)

(6, 9)

(9, 6)

(9, 9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

DRAG AND DROP QUESTION

30 sec • 1 pt

For the following equations, it would be easier to change the (a) variable into opposites by multiplying by (b) .
2x + 3y = 12
4x - 7y = - 54

x

-2

y

2

7

3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Systems Review (BEAR Time)

35 questions

The solution to a system of equations is any ordered pair that makes both equations true.

^{What is the solution?}

This system has _____ solutions

What variable do you eliminate, and what do you multiply the equation(s) by?
5x + y = 9
10x − 7y = −18

Solve the system given:
3x - y = 7
2x + y = 3

Solve the following systems of equations using substitution:

x = 6
y = 2x - 3

For the following equations, it would be easier to change the (a) variable into opposites by multiplying by (b) .
2x + 3y = 12
4x - 7y = - 54

The solution (x, y) to a system of equations is the point where they...?

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

What is the best method for solving this system of linear equations?

$x+y=5$
$2x-y=4$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Systems Review (BEAR Time)

35 questions

The solution to a system of equations is any ordered pair that makes both equations true.

What is the solution?

This system has _____ solutions

What variable do you eliminate, and what do you multiply the equation(s) by?5x + y = 910x − 7y = −18

Solve the system given:3x - y = 72x + y = 3

Solve the following systems of equations using substitution:x = 6y = 2x - 3

For the following equations, it would be easier to change the ​ (a) variable into opposites by multiplying by ​ (b) ​ .2x + 3y = 124x - 7y = - 54

The solution (x, y) to a system of equations is the point where they...?

What variable do you eliminate?4x + 8y = 20 −4x + 2y = −30

What is the best method for solving this system of linear equations? x+y=5x+y=5x+y=5 2x−y=42x-y=42x−y=4

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

^{What is the solution?}

What variable do you eliminate, and what do you multiply the equation(s) by?
5x + y = 9
10x − 7y = −18

Solve the system given:
3x - y = 7
2x + y = 3

Solve the following systems of equations using substitution:

x = 6
y = 2x - 3

For the following equations, it would be easier to change the (a) variable into opposites by multiplying by (b) .
2x + 3y = 12
4x - 7y = - 54

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

What is the best method for solving this system of linear equations?

$x+y=5$
$2x-y=4$