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Worksheets

Balancing Linear Equations

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

What are the operations to build

 x+37\frac{x+3}{7}  ?

a)

add 3 to x and then divide by 7

b)

subtract 3 from x and then divide by 7

c)

divide x by 7 and then add 3

d)

multiply x by 7 and then subtract 3

2.

For the equation in the flowchart, the solution is:

a)

6x 5 = 376x\ -\ 5\ =\ 37

b)

x = 37x\ =\ 37

c)

x= 42x=\ 42

d)

x = 7x\ =\ 7

3.

What is the solution to

 3x+7=2x+93x+7=2x+9  ?

a)

 x=16x=16  

b)

 x=2x=2  

c)

 x=165x=\frac{16}{5}  

d)

 x=2x=-2  

4.

Solve the following equation using the balance method

 6x+2=266x+2=26  

a)

 x=144x=144  

b)

 x=4.67x=4.67  

c)

 x=4x=4  

d)

 x=4x=-4  

5.

Solve the following equation using the balance method

 5(x12)=355\left(x-12\right)=35  

a)

 x=187x=187  

b)

 x=19x=19  

c)

 x=5x=-5  

d)

 x=163x=163  

6.

Solve the following equation using the balance method

 3x+6=15-3x+6=15  

a)

 x=27x=-27  

b)

 x=7x=-7  

c)

 x=3x=3  

d)

 x=3x=-3  

7.

Solve the following equation using the balance method

 x+84=3\frac{x+8}{4}=3  

a)

 x=4x=4  

b)

 x=20x=20  

c)

 x=4x=-4  

d)

 x=7.25x=-7.25  

8.

Solve the following equation using the balance method

 5x+6=3x45x+6=3x-4  

a)

 x=5x=5  

b)

 x=5x=-5  

c)

 x=1.25x=-1.25  

d)

 x=20x=-20  

9.

Solve the following equation using the balance method

 8x+5=7x+78x+5=7x+7  

a)

 x=12x=12  

b)

 x=215x=\frac{2}{15}  

c)

 x=2x=-2  

d)

 x=2x=2  

10.

Solve the following equation using the balance method

 5x+4=x25x+4=-x-2 

a)

 x=1x=1 

b)

 x=1x=-1 

c)

 x=26x=\frac{2}{6} 

d)

 x=4x=4