Algebra Revision

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• Powerpoints

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• Neither

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Open Ended

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Lesson Objectives

​1) Simplifying
2) Expanding Brackets
3) Factorising
4) Substitution
5) Change the subject
6) Algebra & Shapes

​COLLECTING LIKE TERMS (SIMPLIFY)

​Simplify 2a + 4b + a + 5b

​Look at it from this way, if Android Phones are a and Apple phones are b:
I have 2 android phones and 1 IPhone in one bag and 1 android phone and 5 IPhones in another how many do I have in total??

​COLLECTING LIKE TERMS (SIMPLIFY)

​Simplify 2a + 4b + a + 5b

​Look at it from this way, if Android Phones are a and Apple phones are b:
I have 2 android phones and 1 IPhone in one bag and 1 android phone and 5 IPhones in another how many do I have in total??

​

​3a + 9b

​COLLECTING LIKE TERMS (SIMPLIFY)

​y + y + y + y =


y x y x y x y =

​Common Mistakes

​COLLECTING LIKE TERMS (SIMPLIFY)

​y + y + y + y = 4y


y x y x y x y = y²

​Common Mistakes

Match

Match the following

• y +y + y + y

• 2𝑥 + 3y + 𝑥 - 4y

• y x y x y x y

• 5𝑥y + 4𝑥y - 3y

• y + y - y + y

4y

3𝑥 - y

y⁴

9𝑥y -3y

3y

• 4y

• 3𝑥 - y

• y⁴

• 9𝑥y -3y

• 3y

Multiple Choice

Simplify this equation

• 6x
• 7x
• 5x
• 3x

Multiple Choice

Simplify this expression

• h/3
• 6h
• 3h
• 2h

Expanding Brackets

y(2 - 6)

Expand everything in the bracket with the outside.
Simples.

3(y + 4)

2(3y + 16) + 3(4 + 2y)

2y(z - 6)

Expanding Brackets

y(2 - 6)

Expand everything in the bracket with the outside.
Simples.

3(y + 4)

2(3y + 16) + 3(4 + 2y)

​𝑥

2y(z - 6)

​3y + 12

​2yz - 12y

​2y - 6y =
8y

​6y + 32 + 12 + 6y =

12y + 44

Multiple Choice

Expand this bracket

• 2w + 15
• 10w + 15
• 10w + 5
• 5w + 3

Multiple Choice

Expand this bracket

• 4h - 2
• h - 4
• 2h - 8
• 2h + 8

Multiple Choice

Expand and simplify this bracket

• 8x + 15
• 6x + 10
• 10x + 11
• 12x + 20

Multiple Choice

Expand and simplify this bracket

• -5x + 30
• 4x + 15
• 2x + 23
• -3x + 43

Expanding Double Brackets

FOIL:
First multiply first numbers
Outside multiply first number with outside in second bracket
Inside multiply second number with first in second bracket
Last multiply second number with the second number

​(y+2)(y-3)

​(w+4)(w+2)

​(a+5)(a-3)

Expanding Double Brackets

FOIL:
First multiply first numbers
Outside multiply first number with outside in second bracket
Inside multiply second number with first in second bracket
Last multiply second number with the second number

​(y+2)(y-3)

​(w+4)(w+2)

​(a+5)(a-3)

​w² + 8 + 2w + 4w =
w² + 6w + 8

Multiple Choice

Expand these double brackets

• y² + y + 2

• y² + 3y + 2

• y²+ 4y + 1

• y² + 2y + 3

​FACTORISING (Back in Brackets)

Factorise 5m + 15

Find the common HCF or highest common factor

​FACTORISING (Back in Brackets)

Factorise 5m + 15

Find the common HCF or highest common factor

​HCF

​5(m + 3)

Multiple Choice

Answer this factorising question?

• 5(3y + 1)
• 3(y + 3)
• 3(y + 5)
• y(3 + 15)

Multiple Choice

Answer this factorising question?

• 2(7x + 10)
• 2(7x + 5)
• 3(4x + 10)
• 14(x + 1)

Multiple Choice

Answer this factorising question?

• 4(x + 2y)
• 2(x + 6y)
• 4(x + 3y)
• 8(x + 3y)

​Substitution

All you need to do is whatever the letter is change it and then you can work out the equation!

​Substitution and solving equations

All you need to do is whatever the letter is change it and then you can work out the equation!

(3 x 7) + (2 x 5) =
21 + 10 = 31

Fill in the Blanks

What is the c?

Fill in the Blanks

What is L?

Fill in the Blanks

What is A?

​Substitution

complete the worksheet in the time provided

​change the subject

​Make y the subject of this equation?

​y + w = c

ay = w

​and this equation:

​change the subject

​Make y the subject of this equation?

​y + w = c

ay = w

​and this equation:

Multiple Choice

Make y the subject

• y = a - p
• y = a + p
• y = p - a
• y = ap

Multiple Choice

Make y the subject

• y = c + r
• y = c - r
• y = c/r
• y = r/c

Multiple Choice

Make x the subject

• x = (w - c) / 4
• x = w / 4 - c
• x = 4(w - c)
• x = (w + c) / 4

​algebra & shapes

​In terms of x what is the expression for the perimeter of this rectangle?

​algebra & shapes

​In terms of x what is the expression for the perimeter of this rectangle?

​x + 12

​x

​x + 12 + x + x + 12 + x
4x + 24

​algebra & shapes

​In terms of x what is the expression for the perimeter of this quadrilateral?

​algebra & shapes

​In terms of x what is the expression for the perimeter of this quadrilateral?

​2r + 2r + 5 + r + 4r - 3 + 2r

Collect the like terms

11r + 2

​algebra & shapes

Same as the perimeter, write down an equation in the form of x

Use your answer to work out the value of x

​algebra & shapes

Same as the perimeter, write down an equation in the form of x

Use your answer to work out the value of x

​3x + x + 30 + 2x
6x + 30

​Angles in a triangle = 180⁰
6x + 30 = 180
6x = 180 - 30
6x= 150

​x = 150 ÷ 6
= 25

​Your Turn

​Wayground on Algebra
Mathswatch
Happy with Algebra work on stuff in your books