1. Year 11 Mini-Assessment 7
HIGHER
Algebra
Forming & Solving
Equations

2.  12 
5x – 3 = 2x + 6
3x – 3 = 6
12y = 96 
3x = 9
y = 8 
x = 3

3. 
118
Corresponding angles are equal
Angles on a line add up to 180° 
4x – 6 = 7x – 99 
3y – = 180
– 6 = 3x – 99
3y + 93 = 180
93 = 3x
3y = 87  
31 = x
y = 29

4. (signs can be wrong way round for this mark) 12
(x + 4)(x + 4) 12 12
(x + 4) 6 6 6 6 6
6(x + 4) 36 12 6
(x + 4) 
(a)
(x + 4)(x + 4) + 6(x + 4) + 36 
x2 + 8x x
= x2 + 14x + 76
(b)
x2 + 14x + 76 = 252  
x2 + 14x – 176 = 0
Perimeter = 72cm
(signs can be wrong way round for this mark)
(x + 22)(x – 8) = 0 
x = -22 or x = 8