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1. Find the vertex, and x and y intercepts of y = 4x² – 5x +5.
2. Identify the vertex and focus of the parabola y2 =-13x.
3.
Solve.
x(x+6)(x-6) > 0
4. Solve and graph the solution to the inequality on the real line.
1
- 5
x + 4
5.
Solve log2(x + 3) - log2(x - 1) = 5
3
6.
Solve equation log; (6x)
() =
2
7.
Determine the balance A (to the nearest cent) for P = 3,500 dollars invested at a rate r = 10%
for t = 10, compounded 12 times per year.
20r
8.
Solve the exponential equation 100,000 = 50,000e? for r to determine the interest rate
required for an investment of $50,000 to double in value when compounded continuously for 20
years. Round your answer to one decimal place.
9.
The value of a piece of property doubles every 16 years. You buy the property for $54,000. Its
value t years after the date of purchase should be V(t) = 54,000(2):16. Use the model to
approximate (to the nearest thousand dollars) the value of the property after 4 years.
10. Find the inverse function.
f (t) = t? - 9
11. Evaluate the logarithm.
64
log
256
12. Use a calculator to evaluate lo g 30 110 by means of the change-of-base formula. Round
your answer to four decimal places.
13. Identify the center and radius of the circle 16x² +16 y2 – 25 = 0.
14. Write the standard form of the equation of the parabola with focus (0,-5) and its vertex at the
origin.
15. A semicircular arch for a tunnel under a river has a diameter of 80 feet (see figure). Determine
the height of the arch 10 feet from the edge of the tunnel.
10ft
+
14
80 ft-
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