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RevisionLearning Objective:

to factorise quadratic expressions (grade B)to simplify algebraic fractions (grade A)

Key words: quadratic, factorise, simplify

Tracking B

Challenge:Prove that 0.545454... = 6/11

Factorise the following2x 16

6p2q + 18pq2

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Factorising Quadratics

Factorise the following...

x2 + 10x + 24

x2 7x + 12

2x2 -3x 2

4x2 16

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Algebraic Fractions

2 + 3

x + 2 x 2

3(x 3)

3x2 - 6x - 9

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Recurring Decimals

Prove that 1.7237237237... = 1 241

333

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Exam Questions not all of these are correct can you mark them and make any corrections?

Section 1: Factorising

Factorise the following:

6xy 3x2y

x2 6x 16

9x2 36

(x 4) is a factor of 2x2 4x 16.Which of the following is also a

factor?

a) (x 4)

b) (2x 4)

c) (2x + 4)

d) (x + 4)

Section 2: Algebraic Fractions

Simplify the following:

2 + 3

(x + 1) (x + 2)

2x + 4

(x + 2) ( x 3)

2x2 + 3x - 54x2 - 25

Section 3: Recurring Decimals

Which of these is a recurring

decimal?

a) 0.323232

b) 0.123123

c) 2.343434...

d) 7.6506565

Express 0.212121... as a

fraction.

Prove that 0.8232323... = 823990

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Multiple Choice

Use the voting pads to answer thefollowing questions.

There are 8 in total...

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Question 1

Simplify 2a + 6c 4a 2c

a)-2a + 8cb)6c + 8c

c)4c 2a

d)6c + 4c

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Question 2

Factorise x2 + 2x 15

a)x(x + 2 15)b)(x + 3) (x 5)

c)(x + 3) (x + 5)

d)(x 3) ( x + 5)

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Question 3

Factorise x2 9x

a)(x 3) (x + 3)b)(x 3) (x 3)

c)x ( x 9)

d)(x + 3) (x + 3)

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Question 4

Simplify x + 2(x + 2) ( x 2)

a)(x 2)b) x + 2

x2 4x

c) 1( x 2)

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Question 5

(x + 3) is a factor of x2 - 4x 21. Whichof the following is also a factor?

a)( x + 7)

b)(x 18)

c)(x 24)d)(x 7)

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Question 6

(2x 1) is a factor of 6x2 + 5x- 4. Whichof the following is also a factor?

a) (4x + 4)

b) ( 3x + 4)

c) ( 3x 4)d) ( 3x 3)

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Question 7

Simplify 2x + 6x2 + 7x + 12

a) 1

( x + 4)b) x

(x + 3)c) 1

( x + 3)d) 2

(x + 4)

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