## Answers to sample gateway

For each problem on the sample gateway, the correct answer is listed, followed by a brief description of the solution and suggested reading if you got the problem wrong.
1. (d) Plug in m=-2v; simplify. Read: 1.2.
2. (c) Intersections have same y value; solve for x by putting everything on one side; Q has x>0. Read: 1.8.
3. (b) y-intercept is where x=0; then solve for y. Read: 1.8, 1.10, 2.2, 2.3.
4. (c) Take reciprocal of fraction; then use 1/x-2=x2. Read: 1.2.
5. (b) Distribute. Read: 1.2, 1.3.
6. (d) Move everything over to one side, solve. Read: 1.5.
7. (b) (ab)r=arbr. Read: 1.2.
8. (a) Solve simultaneously. One method: 2nd equation implies x=-7y-2, eliminate x, solve for y.
9. (d) Solution means if you plug in x and y, equation works. Then solve for &phi. Read: 1.8, 2.2, 2.3. AKA: Hsu's favorite question.
10. (a) Other answers ignore -8.5, ignore positive numbers, or make no sense. Read: 1.7.
11. (c) Common denominator. Read: 1.4.
12. (e) Expand (g+4)(g+5), move everything to one side, and solve for g. Alt: Try all answers. Read: 1.3, 1.5.