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Worksheets

Systems of Equations

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Determine how many solutions the system of equations will have:

y = 3x - 5

y = -3x + 5

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

2.

Determine how many solutions the system of equations will have:

y = 6 - 1/2x

y = -1/2x + 6

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

3.

Determine how many solutions the system of equations will have:

3y + x = 5

y = -1/3x -8

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

4.

Determine how many solutions the system of equations will have:

2x + 3y = 4

y = -2/3x - 1

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

5.

Use substitution to solve the system of equations:

y = 4x

2x + 2y = 60

a)

(0, 0)

b)

(2, 8)

c)

(12, 24)

d)

(5, 25)

6.

Use substitution to solve the system of equations:

y = x - 4

x + 3y = 12

a)

(4, 0)

b)

(6, 2)

c)

(0, 4)

d)

(6, 1)

7.

Use substitution to solve the system of equations:

y = 3x - 10

3x + 2y = 16

a)

No Solution

b)

(5, 5)

c)

(4, 2)

d)

(2, 5)

8.

Use substitution to solve the system of equations:

y + 5 = x

y = x - 5

a)

(1, 3)

b)

(0, 2)

c)

No Solution

d)

Infinitely Many Solutions

9.

Use substitution to solve the system of equations:

y = 1/2x + 4

x - y = 8

a)

No Solution

b)

(12, 16)

c)

(12, 4)

d)

(24, 16)

10.

Use substitution to solve the system of equations:

y = 6x - 7

y = -3x + 47

a)

(5, 23)

b)

(6, 29)

c)

(4, 35)

d)

No Solution