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Worksheets

Number of Solutions in Equations

Total questions: 13

Worksheet time: 13mins

Name
Class
Date
1.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

2.

Identify the type of solution.

a)

Infinite solutions

b)

One solution

c)

No solution

3.

7x3=3+7x7x-3=-3+7x  

a)

No Solution

b)

Infinite Solutions

c)

x=0x=0  

d)

x=6x=6  

4.

2(x2)=2x42\left(x-2\right)=2x-4  

a)

No Solution

b)

Infinite Solutions

c)

x=8x=8  

d)

x=8x=-8  

5.

2(5x2)=4+10x2\left(5x-2\right)=-4+10x  

a)

No Solution

b)

Infinite Solutions

c)

x=8x=-8  

d)

x=12x=12  

6.

2x+5=2x+5-2x+5=-2x+5  

a)

No Solution

b)

Infinite Solutions

c)

x=10x=10  

d)

x=20x=-20  

7.

What is the solution of the system of equations shown in the graph?

a)

(0,0)

b)

(3, 1)

c)

(1, 3)

d)

(0, 4)

8.

What is the solution of the system of equations shown in the graph?

a)

(-1, -2)

b)

(-2, -1)

c)

(0, 1)

d)

There is no solution.

9.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

10.

How many solutions will this system have? 

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

11.

How many solutions will this system have?

a)

No Solution

b)

Infinitely Many Solutions

c)

No Clue

d)

One solution

12.

The solution is:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

13.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution