Algebra - Finding Solutions

1. Solve

$-\frac{a}{2}-3=-9$ .

2. Solve

$9p+9=81$ .

3. Solve

$p^{2}-4p-1=0$ using the quadratic formula.

4. Solve simultaneously,

$-2a+5b=17$ and

$2a-b=-13$ .

5. Solve

$-5u+6=6$ .

6. Solve

$8\left(t-6\right) =-80$ .

7. Solve

$-2p^{2}+p+3=0$ using factorisation.

8. Solve simultaneously,

$3u+v=0$ and

$u+2v=15$ .

Answers

$a=12$
2.

$p=8$
3.

$2\pm \sqrt{5}$
4.

$a=-6$ ,

$b=1$
5.

$u=0$
6.

$t=-4$
7.

$p=-1$ or

$\frac{3}{2}$
8.

$u=-3$ ,

$v=9$