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Name _____________________________
Date ___________________

Linear Equations
(Answer ID # 0225793)
Complete the puzzle.
Only place the answers to ? in the puzzle. You do not need to put the answers to ____ into the puzzle.
121
  -		3
1316
11
  -		1710
189
  -
8
6
  -		5
74
152
14

 

down 1.

Solve each system of equations using any method.
8x + 15y = -296
y =  
-4

15
x   -  
208

15



Answer:
( ? , ____ )

 down 2.

Find the minimum and maximum values of the objective quantity.
4x - 5y    -4
13x - 2y    32
2x + 5y    58
x + y    -1
f(x,y) = 10x - 4y

Answer:
The maximum value of f(x,y) = ?

 down 3.

Solve each system of equations using the elimination method.
13x + 11y = 259
19x + 4y = 137




Answer:
( ____ , ? )
down 4.

Solve each system of equations using the elimination method.
x + 8y = 196
9x - 4y = -288




Answer:
( ____ , ? )

 down 5.

Solve each system of equations.
-5x + 2y + 4z = 25
-6x - 3y - 3z = -3
-x + 2y - z = -14
Answer:
z  =  ?

 down 6.

Solve each system by graphing. Find the vertices of the graph.
4x - y    -6
3x - 4y    2
5x + 2y    -40
Answer:
Graph of Triangle:
(-2, -2), (____,?), (-4, -10)
down 7.

Solve each system of equations using any method.
17x - 4y = -99
4x + 7y = 207




Answer:
( ____ , ? )

 down 8.

Solve each system by graphing. Find the vertices of the graph.
3x - 5y    4
3x - y    -4
x - y    2
Answer:
Graph of Triangle:
(-3, -5), (____,?), (-2, -2)

 down 9.

Find the minimum and maximum values of the objective quantity.
3x + 2y    -31
5x + 4y    -20
2x - 5y    -8
3x - 5y    25
f(x,y) = -3x + 6y

Answer:
The minimum value of f(x,y) = ?
down 10.

Solve each system of equations using the elimination method.
9x + 2y = 126
x =  -2y  +  14



Answer:
( ? , 0 )

 down 11.

Solve each system of equations.
-5z = 10
x + y - 2z = -8
-8x - y - 10z = 60
Answer:
x  =  ?

 down 12.

Solve each system of equations using any method.
18y = 624 - 32x
-34  +  
5

3
y  = x



Answer:
( ? , ____ )
across 1.

Find the minimum and maximum values of the objective quantity.
x + y    17
x + y    3
9x - 5y    41
5x - 2y    -6
f(x,y) = -4x - 4y

Answer:
The maximum value of f(x,y) = ?

 across 2.

Find the minimum and maximum values of the objective quantity.
2x + 5y    20
3x - 2y    -8
x - 7y    -9
f(x,y) = x - 3y

Answer:
The maximum value of f(x,y) is at point ( ? , ____ )

 across 4.

Solve each system of equations using the elimination method.
y =  
-13

7
x   -  
256

7

15x + 7y = -318


Answer:
( ____ , ? )
across 6.

Solve each system of equations.
4z = -4
3x + y - 6z = -20
5x + y - 8z = -32
Answer:
x  =  ?

 across 7.

Solve each system of equations using the substitution method.
y =  11x   -  315

y =  
-5

2
x   +  
207

2



Answer:
( ____ , ? )

 across 8.

Solve each system of equations using any method.
13x - 9y = -167
8x + 5y = 245




Answer:
( ____ , ? )
across 9.

Solve each system of equations using the substitution method.
x =  
-764

7
  -  
18

7
y

x + 2y = -88


Answer:
( ? , ____ )

 across 11.

Solve each system of equations using the substitution method.
2x + y = -3
5x - 4y = -157




Answer:
( ? , ____ )

 across 13.

Solve each system by graphing. Find the vertices of the graph.
x + 5y    0
x - 2y    7
3x + y    0
2x + 3y    -14
Answer:
Graph of Quadrilateral:
(5, -1), (0, 0), (____,?), (-1, -4)
across 14.

Solve each system of equations.
-7x + 7y - 12z = -110
-2x - 2y - 5z = -36
6x - y = 2
Answer:
z  =  ?

 across 15.

Find the minimum and maximum values of the objective quantity.
7x    -28
2x - y    -3
3x + 2y    -36
f(x,y) = -11x - y

Answer:
The maximum value of f(x,y) = ?

 across 16.

Solve each system by graphing. Find the vertices of the graph.
13x - 4y    -31
4x + 3y    -18
13x - 5y    30
x + y    12
Answer:
Graph of Quadrilateral:
(____,?), (-3, -2), (1, 11), (5, 7)
across 17.

Solve each system of equations using the substitution method.
9x + 2y = 229
18x - y = 583




Answer:
( ? , ____ )

 across 18.

Find the minimum and maximum values of the objective quantity.
2x - y    4
x - y    0
5x + y    -18
f(x,y) = -11x - 3y

Answer:
The minimum value of f(x,y) is at point ( ? , ____ )

 

Answer Key
6-12
20
2
-1331
4-14
33
3
-7
2621
975
8
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Answer key also includes questions
Answer key only gives the answers
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