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Worksheets

Graphs of System of Linear Equations

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?

a)

(0, 2)

b)

(2, 0)

c)

(2, -2)

d)

(-2, -2)

e)

(-2, 2)

2.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?

a)

(0, 2)

b)

(2, 0)

c)

(2, -2)

d)

(-2, -2)

e)

(-2, 2)

3.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

a)

(2, -5)

b)

(5, -2)

c)

(-5, -2)

d)

(-2, 5)

e)

(-2, -5)

4.

Which system of linear equations represents the graph shown?

a)

y=3x+1 and y=x+3

b)

y=-x-3 and y=x-1

c)

y=1/3x-1 and y=x-3

d)

y=x-1 and y=3x-3

5.

Which system of equations is represented by the graph shown?

a)

y=-x-1 and y=x+3

b)

y=3x and y=x

c)

y=x-3 and y=x+1

d)

y=x+1 and y=-x-3

6.

What is the solution to this system of linear equations?

y - 3x = 0 and

y = 3x

a)

The only solution is (0, 3).

b)

There is no solution.

c)

The only solution is (0, 0).

d)

There are infinitely many solutions.

7.

What is the value of the y-coordinate in this system of linear equations?

6x + 10y = -32 and 6x + 9y = -27

a)

y = 5

b)

y = 0

c)

y = -5

d)

y = 1

8.

Which system of linear equations is shown on the graph?

a)

y= 4x-2 and y=1/4x-2

b)

y=-1/4x-2 and y=-4x-2

c)

y=1/4x-2 and y=-4x-2

d)

y=-1/4x-2 and y=4x-2

9.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?

a)

(0, 2)

b)

(2, 0)

c)

(2, -2)

d)

(-2, -2)

e)

(-2, 2)

10.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

a)

(0, 3)

b)

(3, 0)

c)

(0, -3)

d)

(-3, 3)

e)

(-3, 0)