Initial Diagnostic Audit - Unit F3: Algebraic Manipulation
Section F3.1 - Simultaneous Linear Equations
1. Find the coordinates of the point of intersection of

x + y = 8,   y = 2x – 1

x = y =

2. Solve the simultaneous equations

3x + 2y = 19
x + 5y = 15

x = y =

3. Find the coordinates of the point of intersection of

8x + 5y = -1
3x – 7y = -27

x = y =

Section F3.2 - Expanding Brackets

When completing this section, use fractions and conventional algebraic notation to avoid using × and ÷ symbols in your answers

Expand the following.
4.
3x(x – 5) =         
5.
-5(4 – 3x) =         
6.
(x + 2)(x + 3) =         
7.
(3x – 2)(2x – 5) =         
8.
(x + 3)2 =         
Section F3.3 - Linear Factorisation

When completing this section, use fractions and conventional algebraic notation to avoid using × and ÷ symbols in your answers

Factorise fully:
9.
3x + 18 =         
10.
12 – 4y =         
11.
x2 + 4x =         
12.
5x2 + 25x =         
13.
30y2 – 18y =         
Section F3.4 - Quadratic Factorisation

When completing this section, use fractions and conventional algebraic notation to avoid using × and ÷ symbols in your answers

Factorise:
14.
x2 + 5x + 6 =         
15.
x2 – 7x + 12 =         
16.
x2 + 2x – 8 =         
17.
x2 – 36 =         
18.
2x2 + 3x +1 =         

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Produced by Russell Geach for CIMT - April 2013