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Sample edHelper.com - LinearEquations Worksheet

 Name _____________________________ Date ___________________
Linear Equations
Complete the puzzle.
Only place the answers to ? in the puzzle. You do not need to put the answers to ____ into the puzzle.
 12 1  - 3 13 16 11  - 17 10 18 9  - 8 6  - 5 7 4 15 2 14

down 1.

Solve each system of equations using any method.
8x + 15y = -296
y =
 -415
x   -
 20815

 ( ? , ____ )

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

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

down 3.

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

 ( ____ , ? )

down 4.

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

 ( ____ , ? )

down 5.

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

down 6.

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

down 7.

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

 ( ____ , ? )

down 8.

Solve each system by graphing. Find the vertices of the graph.
3x - 5y    4
3x - y    -4
x - y    2
 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

 The minimum value of f(x,y) = ?

down 10.

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

 ( ? , 0 )

down 11.

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

down 12.

Solve each system of equations using any method.
18y = 624 - 32x
-34  +
 53
y  = x

 ( ? , ____ )

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

 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

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

across 4.

Solve each system of equations using the elimination method.
y =
 -137
x   -
 2567

15x + 7y = -318

 ( ____ , ? )

across 6.

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

across 7.

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

y =
 -52
x   +
 2072

 ( ____ , ? )

across 8.

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

 ( ____ , ? )

across 9.

Solve each system of equations using the substitution method.
x =
 -7647
-
 187
y

x + 2y = -88

 ( ? , ____ )

across 11.

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

 ( ? , ____ )

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
 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
 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

 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
 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

 ( ? , ____ )

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

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