Solving linear equations

Solving linear equations

Mr. Underwood

Lesson Objectives

• To be able to solve linear equations with an unknown variable on one side

• To be able to solve linear equations with an unknown variable on both sides

Fill in the Blanks

Starter: Expand the following

 $5\left(x\ +\ 3\right)$  

Multiple Choice

Starter: Expand the following 


 

 $-2g\left(3g\ -\ 2\right)$  

•  $-5g\ +\ 4$  

•  $-6g^2-4g$  

•  $-10g^2$  

•  $-6g^2+4g$  

Fill in the Blanks

Simplify 3f + 4g - 10f

Fill in the Blanks

Simplify 

 $3\left(b\ -\ 3x\ +8\right)\ \ +\ 4x\ -\ 3b$  

Solving a linear equation:

• To solve an equation you need to work backwards. Remember to ‘undo’ what has been done to the unknown value.

• Always work downwards showing your working out as you go.

• Keep going until you have got a value for the letter.

Fill in the Blanks

Solve the equation:

 $7x\ -\ 15\ =\ 20\$  

Fill in the Blanks

 $20\ =\ 2x\ +\ 6$  

Solve the equation:

Fill in the Blanks

Solve the equation:

5(m + 6) = 45

When there are unknowns on either side

• If there is more then one unknown value on either side of the equals sign collect them together on one side and collect the numbers on the other.

Fill in the Blanks

 $5x\ +\ 6\ =\ 2x\ +\ 27$  

Solve the equation:

Fill in the Blanks

 $3p\ =\ 3\ +\ 9p$  

Solve the equation: