SOLVE TWO STEP EQUATIONS WORKSHEET
About "Solve two step equations worksheet"
Solve two step equations worksheet :
Here we are going to see some practice questions of the topic solve two step equations.
Solve means finding the value of the variable that we have in the question.
Some times we may have to do more than one step in solving equations.
An equation is like a weighing balance having equal weights on each side. In an equation there is always an equality sign. This equality sign shows that value of the expression on the left hand side (LHS) is equal to the value of the expression on the right hand side (RHS).
Let us see some examples based on the above concept.
Question 1 :
Solve 3p + 4 = 25
Question 2 :
Solve 7m - 5 = 30
Question 3 :
Solve 2a - 12 = 14
Question 4 :
Solve 5x + 3 = 18
Question 5 :
Solve - 3(m - 2) = 18
Question 6 :
Solve (3x + 1) – 7 = 12
Question 7 :
Solve 5x + 3 = 17 - 2x
Question 1 :
Solve 3p + 4 = 25
Solution :
In order to isolate "3p", we have to subtract 4 on both sides
3p + 4 - 4 = 25 - 4
3p = 21
Divide by "3' on both sides
3p/3 = 21/3
p = 7
Hence the value of p is 3.
Question 2 :
Solve 7m - 5 = 30
Solution :
In order to isolate "7m", we have to add 5 on both sides
7m - 5 + 5 = 30 + 5
7m = 35
Divide by "7" on both sides
7m/7 = 35/7
m = 5
Hence the value of m is 5.
Question 3 :
Solve 2a - 12 = 14
Solution :
In order to isolate "2a", we have to add 12 on both sides
2a - 12 + 12 = 14 + 12
2a = 36
Divide by "2" on both sides
2a/2 = 36/2
a = 18
Hence the value of a is 18.
Question 4 :
Solve 5x + 3 = 18
Solution :
In order to isolate "5x", we have to subtract 3 on both sides
5x + 3 - 3 = 18 - 3
5x = 15
Divide by "5" on both sides
5x/5 = 15/5
x = 3
Hence the value of x is 3.
Question 5 :
Solve - 3(m - 2) = 18
Solution :
- 3(m - 2) = 18
-3m + 6 = 18
Subtract "6" on both sides
-3m + 6 - 6 = 18 - 6
-3m = 12
Divide by "-3" on both sides
-3m/(-3) = 12/(-3)
m = -4
Hence the value of m is -4.
Question 6 :
Solve (3x + 1) – 7 = 12
Solution :
3x + 1 – 7 = 12
3x – 6 = 12
Add "6" on both sides
3x - 6 + 6 = 12 + 6
3x = 18
Divide by "3" on both sides
3x/3 = 18/3
x = 6
Hence the value of x is 6.
Question 7 :
Solve 5x + 3 = 17 - 2x
Solution :
5x + 3 = 17 - 2x
Add "2x" on both sides
5x + 2x + 3 = 17 - 2x + 2x
7x + 3 = 17
Subtract "3" on both sides
7x + 3 - 3 = 17 - 3
7x = 14
Divide by "7" on both sides
7x/7 = 14/7
x = 2
Hence the value of x is 2.
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