This algebra worksheet provides 14 practice problems for students to simplify rational expressions involving addition and subtraction.

1) $\frac{7u - 4v}{8v}$
2) $\frac{-6n}{6m^3n} = -\frac{1}{m^3}$
3) $\frac{5a + 6}{a^2 + 3a + 2}$
4) $\frac{n - 1}{10n^2 + 16n + 6}$
5) $\frac{2r + 7}{3r - 6}$
6) $-\frac{1}{2x^2 + 13x + 20}$
7) $\frac{24 - 5x(x - 1)}{4(x - 1)}$
8) $\frac{6(7x - 5)(x + 4) - (x + 5)}{(7x - 5)(x + 4)}$
9) $\frac{7x - 4}{(x + 7)(x - 8)}$
10) $\frac{3 - 14v^2 - 28v}{4v^2 + 4v}$
11) $\frac{28x - 38}{12x - 8}$
12) $\frac{10n + 30 + 4n(n + 5)}{(n + 5)(2n + 6)}$
13) $\frac{4x^2 + 36x + 12}{(5x + 4)(2x + 3)}$
14) $\frac{4x + 12x^2 + 24}{6x(x^2 + 4x)}$