Revision!

Factorise Me

100

Factorise fully: 

12x² - 18x

6x(2x - 3)

200

Factorise this quadratic: 

x² - 5x - 24

(x - 8)(x + 3)

300

Factorise this expression completely: 50m² - 8n²

2(5m - 2n)(5m + 2n)

400

Factorise fully: 

3x² + 13x - 10

(3x - 2)(x + 5)

500

Factorise fully: 

x³ + 2x² - 9x - 18

(x - 3)(x + 3)(x + 2)

Keep it Simple

100

Fully simplify the following: 

15a⁴b²

20a²b⁵

3a²

4b³

200

Simplify the fraction:

4x + 12

8

x + 3

2

300

Simplify this expression:

x² - 9

x + 3

x - 3

400

Simplify the fraction:

x² - 5x + 6

x² - x - 6

x - 2

x + 2

500

Simplify the following:

6x² - 7x - 3

   9 - 4x²

_  3x + 1   OR    - 3x - 1

    3 + 2x           3 + 2x

Operations

100

Multiply and simplify:

 4 * x²

 x   12

x

3

200

Add these fractions:

   3     +      2   

x + 1       x + 1

   5   

x + 1

300

Subtract these fractions:

  5    _    3   

x           y

5y - 3x

xy

400

Simplify:

x² - 4 divided by x + 2

5                           10

2(x - 2)

500

Simplify:

  3     +    2  

x² - 1      x + 1

2x + 1

x² - 1

Indices

100

Simplify:

(2x³)⁴

16x¹²

200

Write with positive indices:

5x^-2

y³

  5  

x²y³

300

Evaluate:

100⁰ + 5^-1

1 1/5  OR   6/5   OR   1.2

400

Find x:

3^x-1 = 81

x = 5

500

Simplify the following:

2ⁿ * 8

2^n-1

2⁴ = 16

Trivia Tingz

100

I am a number. When you square me, I am the same as when you multiply me by myself. When you add me to myself, I am the same as when you square me. What number am I?

2

200

The area of a rectangle is represented by 

x² + 7x + 10. If the length is (x + 5), what is the width?

(x + 2)

300

There is only one number between 10 and 100 that is both a perfect cube and a perfect square. What number is it?

64

400

What is the last digit of 3¹⁰⁰?

1

500

If x + 1/x = 3, what is the value of x² + 1/x²?

7