Algebraic Fractions Revision
(a)
(b)
Simplify
𝑥(𝑥−5)
(c)
Simplify
𝑥2
(e)
𝑥 2 +2𝑥
Simplify
𝑥 2 +7𝑥+10
(f)
Simplify
𝑥2
𝑥−2
×
3𝑥−6
(i)
𝑥 2 −𝑥−6
𝑥(𝑥−1)
𝑥 2 +2𝑥
÷
Simplify
𝑥 2 +6𝑥+8
(g)
Simplify
4𝑥
(d)
3𝑥 2 −13𝑥+4
𝑥 2 −16
(h)
𝑥 2 −1
Write as a single fraction
Write as a single fraction
3𝑥
𝑥 2𝑥
+
3 5
5𝑥 𝑥
−
6 4
(j)
(k)
(l)
Simplify fully
Simplify fully
Write as a single fraction
Simplify fully
5
4
+
2
𝑥
3𝑥
3
2
−
𝑥+2 𝑥−1
2𝑥 − 1 𝑥 + 3
+
5
4
𝑥
3
− 2
2𝑥 + 4 𝑥 + 5𝑥 + 6
(m)
(n)
Solve
𝑥
3
+
2𝑥−1
4
=1
(o)
Solve
2(𝑥+1)
5
=
8+𝑥
6
Solve
5
𝑥+3
+
3
𝑥−1
=4