Math Expressions Worksheet With Answers - Grade 7 And 8 - University Of Waterloo - 2013 Page 6

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Original Operation Opposite Operation
Addition
+
Subtraction
Subtraction
+
Addition
Division
Multiplication
Multiplication
Division
Reverse BEDMAS (SAMDEB):
Subtraction
Addition
Multiplication
Division
Exponents
Brackets
Reminder: Just as before, addition and subtraction have the same priority; as do multipli-
cation and division.
When performing opposite operations, what you do to one side of the equation
you must do to the other side of the equation.
Examples
Let’s solve for x.
1.
x
5 = 7
2.
x + 3 = 10
x
5+5
=
7+5
x + 3
3
= 10
3
x = 12
x = 7
3.
15
x = 8
4. 2x = 10
2x
10
15
x+x
=
8+x
=
2
2
15
8
= 8 + x
8
x = 5
7 = x
x
6.
4x
1 = 7
5.
= 2
3
4x
1+1
=
7+1
x
3
= 2
3
4x
8
3
=
x = 6
4
4
x = 2
6

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