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What is the Best Method--Systems of Equations

Total questions: 14

Worksheet time: 26mins

Name
Class
Date
1.

Which is the most efficient method for solving the following system?

 x=4−2yx=4-2y  
 3x−2y=43x-2y=4  

a)

Substitution

b)

Elimination

c)

Equal Values 

2.

Which is the most efficient method for solving the following system?
  3x+y=13x+y=1 
  4x+y=24x+y=2  

a)

Substitution

b)

Elimination

c)

Equal Values 

3.

Which is the most efficient method for solving the following system? 
 x=−5y+2    x=-5y+2\ \ \ \   
 x=3y−2x=3y-2  

a)

Substitution

b)

Elimination

c)

Equal Values 

4.

Which is the most efficient method for solving the following system?                                                            
  2x+4y=102x+4y=10           
 x=2y+5  x=2y+5\ \   

a)

Substitution

b)

Elimination

c)

Equal Values 

5.

Which is the most efficient method for solving the system?

 y=12x+4y=\frac{1}{2}x+4  
 y=−2x+9y=-2x+9  

a)

Subsitution

b)

Elimination

c)

Equal Values

6.

Which is the most efficient method for solving the system? 
 −6x+2y=76-6x+2y=76 
  3x−y=−383x-y=-38  

a)

Subsitution

b)

Elimination

c)

Equal Values

7.

Which is the most efficient method for solving the system? 
 5x+3y=−65x+3y=-6 
  2x−9y=182x-9y=18  

a)

Subsitution

b)

Elimination

c)

Equal Values

8.

Which is the most efficient method for solving the system? 
 x−3=yx-3=y 
  2(x−3)−y=72\left(x-3\right)-y=7  

a)

Subsitution

b)

Elimination

c)

Equal Values

9.

What is the first step for solving the system?
 x=4−2yx=4-2y 
  3x−2y=43x-2y=4  

a)

 3x−2(4−2y)=43x-2\left(4-2y\right)=4  

b)

 3(4−2y)−2y=43\left(4-2y\right)-2y=4  

c)

  3x(4−2y)−2y=43x\left(4-2y\right)-2y=4  

10.

Solve the system? (Show work in your note packet 4-78 A)
 x=4−2yx=4-2y 
  3x−2y=43x-2y=4  

a)

 No SolutionNo\ Solution  

b)

 (7, −1)\left(7,\ -1\right)  

c)

  (2, 1)\left(2,\ 1\right) 

d)

 (0, 2)\left(0,\ 2\right)  

11.

What is the first step for solving the system? 
 x=−5y+2    x=-5y+2\ \ \ \   
 x=3y−2x=3y-2  

a)

 −5y+2=3y−2-5y+2=3y-2  

b)

 −5(3y−2)=3(−5y+2)-5\left(3y-2\right)=3\left(-5y+2\right)  

c)

 3(−5y−2)+3y−2=103\left(-5y-2\right)+3y-2=10  

12.

Solve the system? (Show work in your note packet A-78 C)
 x=−5y+2    x=-5y+2\ \ \ \   
 x=3y−2x=3y-2  

a)

 (2, 2)\left(2,\ 2\right)  

b)

 (12, 12)\left(\frac{1}{2},\ \frac{1}{2}\right)  

c)

 (−12, 12)\left(-\frac{1}{2},\ \frac{1}{2}\right)  

d)

 (−2, −8)\left(-2,\ -8\right)  

13.

Solve the system? (Start by multiplying the first equation by 3. Show work in your note packet A-78 G)
 5x+3y=−65x+3y=-6 
  2x−9y=182x-9y=18  

a)

 (0, −2)\left(0,\ -2\right)  

b)

 No SolutionNo\ Solution  

c)

 Infinite SolutionInfinite\ Solution  

d)

 (−65, 0)\left(-\frac{6}{5},\ 0\right)  

14.

Solve the system? (Show all work in note packet A-78 F) 
 −6x+2y=76-6x+2y=76 
  3x−y=−383x-y=-38  

a)

No Solution

b)

Infinite Solutions

c)

(0, 0)

d)

(0, 38)

e)

(76, 0)