Solving Linear Equations with 1 variable


Linear Equations with 1 Variable Practice Questions

1. Solve the linear equation:

-x-7 = -3x-9

a. -1
b. 0
c. 1
d. 2

2. Solve the linear equation:

3(x+2)-2(1-x) = 4x+5

a. -1
b. 0
c. 1
d. 2

3. Find the solution for the following linear equation:

 5x/2 = (3x +24)/6

a. -1
b. 0
c. 1
d. 2

4. If a and b are real numbers, solve the following equation:

(a+2)x-b = -2+(a+b)x

a. -1
b. 0
c. 1
d. 2

5. Find the solution for the following linear equation:

1/(4x – 2) = 5/6

a. 0.2
b. 0.4
c. 0.6
d. 0.8

 

Answer Key

 

1. A -1

-x-7=-3x-9
-x+3x=-9+7
2x=-2
x=(-2):2
x=-1

2. C 1

3(x+2)-2(1-x)=4x+5
3x+6-2+2x=4x+5
5x+4=4x+5
5x-4x=5-4
x=1

3.  D 2

12

 

 

 

 

 

 


4.  A -1

(a+2)x-b=-2+(a+b)x
ax+2x-b=-2+ax+bx
ax+2x-ax-bx=-2+b
2x-bx=-2+b
(2-b)x=-(2-b)
x=-(2-b):(2-b)
x=-1

5.  D 0.8

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Modified: May 16th, 2018 May 16th, 2018

Published: November 27th, 2014

3 thoughts on “Solving Linear Equations with 1 variable”

  1. For questions 2 and 4, the equations have “b.”, which I think is meant to be “2)”, when compared to the equations shown in the answer key.

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