Precalculus Honors BC Pre-Assessment
Name:
1. Given that f (x) =
√
2x − 5, find
(a) f (7)
(b) f −1 (5)
2. Find the equation of the line through the points (1, 1) and (4, −5).
3. Find the equation of the line through the origin which is perpendicular to the line y = 32 x − 7.
4. Find the slope of the line given by 3x + 5y = 12.
5. Solve the following equations:
(a) 2x2 − 5x = 3
(b) (x + 1)(2x − 3)(x − 5) = 0
(c) 4x = 8
6. Simplify the following expressions as much as possible:
√
√
√
(a) 50 + 8 − 72
5
(b) xx−2
(c) (x2 y)5
7. What is log3 81?
8. Evaluate sin 45◦ .