Week 16 Asynchronous Lesson - Simplifying expressions

Simplifying expressions (Collecting like terms)

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Learning Objectives 

• To simplify expressions with one letter

• To simplify expressions with different terms

• To simplify expressions by multiplying terms

Simplifying Expressions - Recap Prior Knowledge

Summarise what fruit each person has.

How can we write our answer more efficiently?

What if Kelly, Amanda and Fred eat some fruit or buy some more fruit?

Simplifying Expressions

• Simplifying Expressions means to write the expression in the shortest way possible - we call this collecting like terms.

• We can collect together any terms which are just numbers or have the same letter by adding or subtracting.

• *Remember when we do not write 1, for example we would write '1w' as just 'w'.

• Watch the video on the next page to learn more:

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Multiple Choice

Simplify:

w + w + w

• 3w

• 3

• w

• 0

Simplify:

w + w + w

• Here we have three w's so we can write this as 3w

Multiple Choice

Simplify:

4x+2x+3x

• 10x

• 9x

• 11x

• 8x

Simplify:

4x+2x+3x

• 4x+2x+3x

• x+x+x+x+x+x+x+x+x

• = 9x

Simplify:

5x + 11x – 4x

• 5x + 11x – 4x

• 16x - 4x

• 12x

Multiple Choice

Simplify:

4a + 9 + a

• 5a + 9

• 14a

• 3a + 9

• 5a - 9

Simplify:

4a + 9 + a

• 4a + 9 + a

• Collect the 'a's: 4a + a + 9

• 5a +9

Multiple Choice

Simplify

6x+7s-4x-6s-2x

• 7s-3x

• 2x-s

• 12x+13y

• s

Simplify

6x+7s-4x-6s-2x

• 6x+7s-4x-6s-2x

• Collect the 'x's and the 's's together:

• 6x - 4x - 2x + 7s - 6s

• 0s + s

• s

Simplify:

3x+7y+2x-y

• 3x+7y+2x-y

• Collect the like terms:

• 3x + 2x + 7y - y (*remember y means 1y)

• 5x + 6y

Multiple Choice

Simplify:

x²+2−1+6x²−4x²

• x ² -1

• x² +1

• 3x² +1

• x ²+3

Simplify:

x²+2−1+6x²−4x²

• x²+2−1+6x²−4x²

• Collect the like terms:

• x² + 6x² - 4x² + 2 - 1

• 3x² +1

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​Practice:

​Choose the appropriate section to further develop your learning.

​Answers:

​How did you do?

​ Don't forget to use pen and paper and send a copy to your teacher.

Simplifying Expressions - Multiplying

• To multiply terms in an expression: we multiply the numbers, then we multiply the letters.

• Example: 2 x y x w x 3

• 2x3xyxw

• 6wy

• *remember, it is expected that you will write the number in front of the letters and the letters will be in alphabetical order

• Watch the video on the next page to learn more:

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Multiple Choice

Simplify

8 x g

• 8g

• g8

• 7g

Simplify

8 x g

• When we multiply terms in algebra we do not write the times sign,

• 8 x g = 8g

Simplify

2 x f x h

• When we multiply terms in algebra we do not write the times sign,

• 2 x f x h = 2fh

• we write the letters in alphabetical order

Multiple Choice

Simplify 2b x b

• 4b

• 3b

• 2b²

• 4

Simplify 2b x b

• When we multiply a letter by itself it becomes squared.

• 2b x b = 2b²

• 
  

Multiple Choice

Simplify: 4b² x 3c

• b¹²c²

• 7b²c

• 12 x bc

• 12b²c

Simplify: 4b² x 3c

• when we have numbers in separate terms like in this example we multiply the numbers as normal.

• 4b² x 3c = 12b²c

Multiple Choice

Simplify 2b x 3b x 2t

• 12bbt

• 7b²t

• 12b²t

• 6b x 2t

Simplify 2b x 3b x 2t

• 2b x 3b x 2t = 12b²t

• 
  

Simplify:

3a x 2b x 4c

• 3a x 2b x 4c = 24abc

Multiple Select

The answer is

abc

Select all the possible questions

• a x bc

• a x b x c

• a + b + c

• a x a x c

The answer is

abc

• This is any of the expressions which include the terms a, b and c and only multiplication signs

​Practice:

​Choose the appropriate section to further develop your learning.

​Answers:

​How did you do?

​Don't forget to send a copy of your work to your teacher!

Simplifying Expressions– Reasoning

For each shape write out the sum of all the terms and then simplify the expression.

Example:

Triangle = a + a + b = 2a + b

​How did you do?

​Don't forget to send a copy of your work to your teacher!