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Equations
One and two step
equations
© Rosemary Vellar
1 step
x+4=7
Instructions for use
x4=7
 There are 8 worked examples shown in this
4 x = 12
x
=4
5
2 step
2x+1=7
3x1=5
x
1=3
2
PowerPoint plus additional graded exercises.
 A red dot will appear top right of screen to proceed
to the next slide.
 You can either click on the navigation bar to the left
of screen to go straight to one of the worked
examples or use the buttons below.
x
+4=0
3
Golden
rule
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example
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example
Graded exercises
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2 step
© Rosemary Vellar
1 step
Golden rule
x+4=7
x4=7
4 x = 12
x
=4
5
2 step
2x+1=7
What you do to
Think of the equation as
having two sides. The left
hand side (LHS) and the
right hand side (RHS).
LHS
one side of an
x 1  5
equation you
3x1=5
must do to the
x
1=3
2
other side.
The equals sign
separates the two sides
of the equation.
x
+4=0
3
Golden
rule
RHS
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example
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example
Graded exercises
1 step
2 step
© Rosemary Vellar
1 step
1 step or 2 steps?
x+4=7
x4=7
4 x = 12
x
=4
5
2 step
An equation is
described as 1 step if
one operation is
required to find the
solution.
An equation is
described as 2 step if
two operations are
required to find the
solution.
2x+1=7
3x1=5
x
1=3
2
x
+4=0
3
Golden
rule
Previous
example
Next
example
Graded exercises
1 step
2 step
© Rosemary Vellar
1 step
x+4=7
Question
Solve the equation x + 4 = 7
x4=7
Your aim
is to get x
by itself
Method
4 x = 12
x
=4
5
2 step
2x+1=7
Start by writing the equation.
x+4=7
Step 1
Subtract 4 from both sides of
the equation. Remember
equals
0
the golden
rule!
3x1=5
x
1=3
2
To do this
you must
eliminate +4
Finish off by simplifying your answer.
x
+4=0
3
Golden
rule
Previous
example
Next
example
x+4 = 7
4 4
x= 3
Graded exercises
1 step
2 step
equals
3
© Rosemary Vellar
1 step
x+4=7
Question
Solve the equation x  4 = 7
x4=7
Your aim
is to get x
by itself
Method
4 x = 12
x
=4
5
2 step
2x+1=7
3x1=5
x
1=3
2
To do this
you must
eliminate 4
Start by writing the equation.
Step 1
Add 4 to both sides of the
equation. Remember
equals
0
the golden
rule!
Finish off by simplifying your answer.
x
+4=0
3
Golden
rule
Previous
example
Next
example
x4=7
x4 = 7
+4
+4
 x = 11
Graded exercises
1 step
2 step
equals
11
© Rosemary Vellar
1 step
x+4=7
Question
Solve the equation 4x = 12
x4=7
Method
To do this
you must
undo 4
Your aim
is to get x
by itself
4 x = 12
x
=4
5
2 step
2x+1=7
Start by writing the equation.
4 x = 12
Step 1
Divide both sides of the equation
by 4.
Remember
3x1=5
the golden
rule!
x
1=3
2
Finish off by simplifying your answer.
x
+4=0
3
Golden
rule
Previous
example
Next
example
4 x 12

4
4
4 x 12

4
4
x  3
Graded exercises
1 step
2 step
© Rosemary Vellar
ss
1 step
x+4=7
x4=7
Question
x
Solve the equation 5  4
To do this
you must
undo 5
Method
4 x = 12
x
=4
5
2 step
2x+1=7
x
4
5
Start by writing the equation.
Step 1
Multiply both sides of the equation
Remember
by 5.
the golden
rule!
3x1=5
x
1=3
2
Your aim
is to get x
by itself
5
Finish off by simplifying your answer.
x
+4=0
3
Golden
rule
Previous
example
x
5  4 5
5
Next
example
x
 45
5
x  20
Graded exercises
1 step
2 step
© Rosemary Vellar
1 step
x+4=7
Question
Solve the equation 2 x + 1 = 7
x4=7
Method
4 x = 12
x
=4
5
2 step
2x+1=7
3x1=5
2x  1  7
1 1
2x  6
2 2
Step 1: Subtract 1 from both
sides of the equation and simplify.
Step 2: Divide both sides of the
equation by 2 and simplify.
x  3
Check your
solution:
x
1=3
2
23+1=7
x
+4=0
3
Golden
rule
Previous
example
Next
example
Graded exercises
1 step
2 step
© Rosemary Vellar
1 step
x+4=7
Question
Solve the equation 3 x  1 = 5
x4=7
Method
4 x = 12
x
=4
5
2 step
2x+1=7
3x1=5
3x 1  5
+1 +1
3x  6
3 3
Step 1: Add 1 to both sides of the
equation and simplify.
Step 2: Divide both sides of the equation
by 3 and simplify.
x  2
Check your
solution:
x
1=3
2
321=5
x
+4=0
3
Golden
rule
Previous
example
Next
example
Graded exercises
1 step
2 step
© Rosemary Vellar
1 step
x+4=7
x4=7
Question
x
1  3
Solve the equation
2
Method
4 x = 12
x
=4
5
2 step
2x+1=7
3x1=5
x
1  3
2
+1 +1
x
2  42
2
Step 1: Add 1 to both sides of the
equation and simplify.
Step 2: Multiply both sides of the
equation by 2 and simplify.
x  8
Check
your
solution:
x
1=3
2
x
+4=0
3
Golden
rule
Previous
example
Next
example
8
1  3
2
Graded exercises
1 step
2 step
© Rosemary Vellar
1 step
x+4=7
x4=7
Question
x
40
Solve the equation
3
Method
4 x = 12
x
=4
5
2 step
2x+1=7
3x1=5
x
40
3
4 4
x
3   4  3
3
Step 1: Subtract 4 from both sides
of the equation and simplify.
Step 2: Multiply both sides of the
equation by 3 and simplify.
x  12
Check
 12
your
40
solution: 3
x
1=3
2
x
+4=0
3
Golden
rule
Previous
example
Next
example
Graded exercises
1 step
2 step
© Rosemary Vellar
1 step
x+4=7
x4=7
Last slide
4 x = 12
x
=4
5
2 step
2x+1=7
3x1=5
Use the navigation buttons to
repeat selected slides or to go to
the graded exercises.
x
1=3
2
x
+4=0
3
Golden
rule
Previous
example
Next
example
Graded exercises
1 step
2 step