Equations

1
Equations

• One and two step equations

2
Instructions for use

• There are 8 worked examples shown in this
  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.

3
Golden rule
Think of the equation as having two sides. The
left hand side (LHS) and the right hand side
(RHS).

• What you do to
• one side of an
• equation you
• must do to the
• other side.

LHS
RHS
The equals sign separates the two sides of the
equation.
4
1 step or 2 steps?
An equation is described as 2 step if two
operations are required to find the solution.
An equation is described as 1 step if one
operation is required to find the solution.
5
QuestionSolve the equation x 4 7
Method
x 4 7
Start by writing the equation.
Step 1 Subtract 4 from both sides of the equation.
x 4 7
? 4 ? 4
? x 3
Finish off by simplifying your answer.
6
QuestionSolve the equation x ? 4 7
Method
x ? 4 7
Start by writing the equation.
Step 1 Add 4 to both sides of the equation.
x ? 4 7
4 4
? x 11
Finish off by simplifying your answer.
7
QuestionSolve the equation 4x 12
Method
Start by writing the equation.
4 x 12
Step 1 Divide both sides of the equation by 4.
Finish off by simplifying your answer.
8
QuestionSolve the equation
ss
Method
Start by writing the equation.
Step 1 Multiply both sides of the equation by 5.
Finish off by simplifying your answer.
9
QuestionSolve the equation 2 x 1 7
Method
Step 1 Subtract 1 from both sides of the
equation and simplify.
?1 ?1
Step 2 Divide both sides of the equation by 2
and simplify.
Check your solution 2 ? 3 1 7
10
QuestionSolve the equation 3 x ? 1 5
Method
Step 1 Add 1 to both sides of the equation and
simplify.
1
1
Step 2 Divide both sides of the equation by 3
and simplify.
Check your solution 3 ? 2 ? 1 5
11
QuestionSolve the equation
Method
Step 1 Add 1 to both sides of the equation and
simplify.
1
1
Step 2 Multiply both sides of the equation by 2
and simplify.
2 ?
? 2
12
QuestionSolve the equation
Method
Step 1 Subtract 4 from both sides of the
equation and simplify.
?4
?4
Step 2 Multiply both sides of the equation by 3
and simplify.
3 ?
? 3
13
Last slide
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