Expanding single brackets

Expanding single brackets

Mr. Underwood

Learning objectives

• To recap how to simplify terms when multiplying

• To be able to expand single brackets

• To be able to expand and simplify expressions containing brackets

Fill in the Blank

Evaluate the expression

 $3x\ +\ 2y^{ }$  
when  $x=10\ and\ y=4$  

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Evaluate

 $2x^2\ +\ 3$  

 $when\ x\ =\ 3$  

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Phil is x years old. Write an expression for his age in d years time

Multiple Choice

Simplify the expression: 3x + 2x

• 5x

• x

• 6x

• 5

Multiple Choice

Simplify the expression: 7v + 2 + 12 + 2v

• 9 + 14v

• 9v + 14

• 23

• 23v

Multiple Choice

Simplify: 4x² - 3x + 11 -2x

• 4x² - 5x + 11

• 11x + 11

• 16x² - 5x + 11

• 10x²

Remember:

• Re write the terms (e.g 5h = 5 x h)

• Combine the numbers together

• combine the numbers / letters together

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Simplify 

 $3\times w$  

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 $a\times y\times m$  

Simplify: 

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 $5\times2y\times3$  

Simplify:

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Simplify:

4j x 2w x p

Multiple Choice

Simplify:

3c x 3c x 2

• 8c²

• 36c

• 18c²

• 9c

In maths we can use a bracket to represent a multiplication. e.g

 $3\times2\equiv3\left(2\right)$  

• In algebra this is called expanding 

• Every term on the inside of the bracket must be multiplied by the term on the outside 

Fill in the Blank

Expand 3 (2x + 4)

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Expand 5 ( 2 - x )

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expand 14( x - y - z)

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expand and simplify:

6 + 3(x -1)

More challenging problems

• step 1 - expand all brackets in the expression

• step 2 - collect all the like terms to simplify the expression

Multiple Choice

Simplify the following expression:

-3 (t - 2) + 3(t - 4)

• -6

• 6t + 18

• -6t + 6

• 6

Fill in the Blank

 $3\left(a+4\right)\ +\ 4\left(a+2\right)$  

expand and simplify