Algebra 2 Honors
Assignment #14
Due: B day
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Name:_____________________
Please remember to show all of your work.
Please do your work on a SEPARATE PIECE of paper.
If necessary round your answers to two decimal places.
Label all your answers.
1. Solve for x:
2. Solve for x:
3. Simplify:
4. Write an equation of a line that passes through the points
and
.
5. You drop a pebble into a calm pond causing ripples of concentric circles. The radius r (in feet)
of the outer ripple is given by r(t) = 0.6t where t is the time (in seconds) after the pebble hits the
water. The area A (in square feet) of the outer ripple is given by A(r) = πr2. Use composition
of functions to find the relationship between area and time. Then find the area of the outer
ripple after 2 seconds.
6. In triangle ABC, ∠C is a right angle. If sin ∠A =
, what is the tan ∠B to the nearest
thousandth?
7. A road crew can pave 1.5 miles of road in an eight-hour shift. If they were stopped after two
hours because of weather conditions, how many feet of road did they pave?
8. If c = a2b3 and b =a2d4, find an expression for c in terms of a and d?
9. There are 28 students in a math class and 23 students in a chemistry class. If eight of those
students take both math and chemistry, what is the ratio of the number of students taking only
chemistry class to those only taking math?
10. Solve for x: