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4-3 Solving Systems by Elimination Review

4-3 Solving Systems by Elimination Review

Assessment

Presentation

Mathematics

7th - 12th Grade

Medium

CCSS
8.EE.C.8B, 8.EE.C.7A, HSA.REI.C.6

Standards-aligned

Created by

Kelly Gunneson

Used 4+ times

FREE Resource

8 Slides • 12 Questions

1

4-3 Solving Systems by Elimination Review

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2

Multiple Choice

If we add straight down, which variable will be eliminated?

4x + 8y = 20

-4x + 2y = -30

1

The x

2

The y

3

The z

4

The unknown

3

Example #1: Add the Equations Together

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4

Multiple Choice

Solve by elimination:

-9x-4y=-20

5x+4y=4

1

(-4,4)

2

(4,4)

3

(4,-4)

4

(-4,-4)

5

Example #2: Multiply One Equation by -1

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6

Multiple Choice

Solve by elimination:

4x+4y=4

3x+4y=10

1

(7,-6)

2

(-6,7)

3

(6,7)

4

(7,6)

7

Example #3: Multiply One Equation

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8

Multiple Choice

Solve by elimination

4x-6y= -6

-2x-12y= -12

1

(0,1)

2

(1,0)

3

(1,1)

4

(2,1)

9

Example #4: Multiply Both Equations

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10

Multiple Choice

Solve the system by elimination.

−6x + 6y = 0

9x − 8y = 4

1

(4, −9)

2

Infinite number of solutions

3

(−9, 4)

4

(4, 4)

11

Multiple Choice

Solve the system by elimination.

-7x+6y=26

-4x+10y=28

1

(-2, 5)

2

(-5, -5)

3

(5, -5)

4

(-2, 2)

12

Multiple Choice

When an equation results in something like 0=2, is this a true or false statement?

1

True Statement

2

False Statement

13

Multiple Choice

When a equation results in a false statement like 2=0, what is the solution?

1

No Solution

2

Infinitely Many Solutions

3

One Solution

14

Multiple Choice

When an equation results in something like 0=0, is this a true or false statement?

1

True Statement

2

False Statement

15

Multiple Choice

When a equation results in a true statement like 0=0, what is the solution?

1

No Solution

2

Infinitely Many Solutions

3

One Solution

16

Special Cases

  • If the systems results in a true statement, then there is infinitely many solutions

     ex. 5=5

  • If the systems results in a false statement, then there is   no solution

     ex. 4=0

17

Example #5: Special Case

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18

Example #6: Special Case

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19

Multiple Choice

Solve using elimination.

-4x - 6y = 6

4x + 6y = -4

1

no solution

2

(2,0)

3

(-4,0)

4

(0,0)

20

Multiple Choice

Solve using elimination.

−4x − 4y = 0

4x + 4y = 0

1

(−6, −4)

2

Infinite number of solutions

3

(−6, 10)

4

(6, 4)

4-3 Solving Systems by Elimination Review

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