Algebra (higher) Flashcards
1
Q
Find the value of 4b + 3 when b = 2.5
A
13
Workings
4(2.5) + 3
= 10 + 3
= 13
2
Q
Expand the bracket
5h(3h - 2)
A
15h2 - 10h
3
Q
Expand and simplify
5k(3m + 4) - 2m(3 - 2k)
A
19km + 20k - 6m
Workings
15km + 20k - 6m + 4km
19km + 20k - 6m
4
Q
Factorise
8abc + 6bed
A
2b(4ac + 3ed)
Reasoning:
The highest common factor of six and eight is two and the only common letter is b.
5
Q
Factorise
8ab2 + 2ab - 4a2b
A
2ab(4b + 1 - 2a)
Reasoning:
The highest common factor of eight, two and four is two and the only letters they have in common is ab.
6
Q
Expand
(x+ 3)(x + 2)
A
x2 + 5x + 6
7
Q
Expand
(4d - 1)(3d +2)
A
12d2 + 5d - 2
8
Q
Expand
(4x + 3)(x - 5)
A
4x2 - 17x - 15
9
Q
Expand
(5 + 2t)(5 - 2t)
A
25 - 4t2
10
Q
Expand
(x + 7)2
A
x2 + 14x + 49