Week 10 GCSE Algebra

​algebra
Week 10

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​today

​Objectives

1. Recap simplifying what can you remember?

2. Substitution

3. Linear Equations

Multiple Choice

a + a + a - a

• 4a
• 2a
• a²
• 3a

Multiple Choice

Simplify:  2x + 6x - 3x

• 8x
• 3x
• 5x
• 8x - 3x

Multiple Choice

5a + 2b + 3a + 4b

• 5a + 2b
• 7ab + 7ab
• 8a + 6b
• 8a - 6b

Multiple Choice

Simplify:  2x + 3x + 8 - 3

• 5x + 5
• 2x + 5
• 5x - 5
• 6x + 5

Multiple Choice

b² + b²

• 2b²
• b⁴
• b²b²
• 4b

Multiple Choice

2 x t x s

• ts2
• 4ts
• 2st
• ts²

Multiple Choice

5c x 2c

• 10cc
• 10c²
• 52c
• 10c

Multiple Choice

4(2t - 5)

• 8t - 20

• 8t - 5

• 6t - 20

• 8t + 20

Multiple Choice

3x(x+1)

• 3x²+1
• 3x²+3x
• 3x+1

Multiple Choice

Factorise:

$$8x\ +\ 12$$  

• $$4\left(x+2\right)$$  

• $$8\left(x+4\right)$$  

• $$4\left(x+3\right)$$  

• $$4\left(2x+3\right)$$  

Multiple Choice

x² + 5x + 6, What two numbers multiply together to give 6 but when added together give 5 ?

• 1 and 4

• 1 and 6

• 2 and 3

• 0 and 5

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​substitution

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​substitution

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​substitution

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​substitution

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​your turn

​write in books
in time given

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​your turn

Multiple Choice

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
a + b   

• 7
• 8
• 9
• 6

Multiple Choice

• -10

• 1

• -5

• 10

Multiple Choice

let a = 10 and b = -4,

calculate 2a + 4b

• 36

• 4

• -4

• 28

Fill in the Blanks

if a = 5 what is the value of 6a+2

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​solving

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​An equation is made up of two parts that are equal to each other, where at least one of those parts is an algebraic expression.

To show that both parts are equal, we write them with an equals sign between them. Each of the three examples below is an equation

​solving

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​solving

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​​solving

​There are a few important things to remember when rearranging:

1. ​You must always do the same thing to both sides of the equation.

2. To ‘get rid’ of something, do the opposite (use its inverse).
   The inverse of + is – and the inverse of – is +.
   The inverse of × is ÷ and the inverse of ÷ is ×.

3. Finally, you must keep going until you have a letter on its own.

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​solving

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​​solving

​There are a few important things to remember when rearranging:

1. ​You must always do the same thing to both sides of the equation.

2. To ‘get rid’ of something, do the opposite (use its inverse).
   The inverse of + is – and the inverse of – is +.
   The inverse of × is ÷ and the inverse of ÷ is ×.

3. Finally, you must keep going until you have a letter on its own.

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​solving

​​solving

Sometimes, an equation might have an algebraic term (a letter) and a number on the same side. You must still use the same method, but with an extra step.

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​your turn

​write in books
in time given

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​your turn

Multiple Choice

Solve the equation

• x = 1

• x = 0.5

• x = 3.5

• x = 2

Multiple Choice

Solve the equation

• x = 3

• x = 7

• x = 4

• x = 5

Multiple Choice

Solve the equation

• x = 4

• x = 2

• x = 4.1

• x = -4

Multiple Choice

Solve the equation

• x = 8

• x = 6

• x = -5

• x = 2

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​your turn

​page 42/43 of books
"using Numbers"

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​your turn

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​*MathsWatch
*Mastery Mountain
*Work in Using Numbers Book
Book Complete Gaps

​The End