Page 788 - Algebra 1

*12.
(111)
Error Analysis Two students are finding the number of ways to choose a president and a vice president from a list of eight candidates. Which student is correct? Explain the error.
Student A
8P2 = _8! (8-2)!
= 8! _
6! = 56
Student B
_ 8P2 = 8!
2!
= 20,160
13.
(111)
14.
(111)
15.
( (1 1 0 0 6 6) )
16.
( (1 1 0 0 6 6) )
17.
(107)
*18.
(110)
19.
(10 0)
20.
(103)
Dining A restaurant offers a choice of 3 sandwiches, 3 chips, and 5 soft drinks. How many different meal combinations are offered?
Probability A CD has 9 tracks. The CD player is set to play the songs randomly so that each song plays only once. What is the probability that the first 3 songs are the first 3 tracks in order?
Solve the equation √ x + 2 = 8. Check your answer.
Architecture An architect is designing a structure that merges two different right
triangles along the hypotenuse of each triangle. The hypotenuse of one triangle is √ x + 2 units long and the hypotenuse of the second is √ 2x - 4. At what value of x are the two lengths equal?
Graph the function f(x) = ⎢x + 4 .
Multi-Step A plot of land is 143 square feet with dimensions of x and x + 2. What
is the perimeter of the plot of land?
a. Use the quadratic formula to find the dimensions of the plot of land.
b. What is the perimeter of the plot of land?
Multi-Step Emmanuel throws a football into the air. Its movement forms a parabola
given by the quadratic equation h = -16t2 + 14t + 50, where h is the height in feet and t is the time in seconds.
a. Find the time t when the ball is at its maximum height. Round to the nearest
hundredth.
b. Find the time t when the ball hits the ground. Round to the nearest hundredth.
c. Find the maximum height of the arc the ball makes in its flight. Round to the nearest tenth.
Firefighting A forest ranger is stationed at the Delilah Lookout fire tower in the Sequoia National Forest in California. The distance d (in miles) he can see to
the horizon can be estimated by the formula d = √ _3h , where h is the height of 2
the observer’s eyes (in feet) above sea level. If Delilah Lookout is located at an elevation of 5176 feet above sea level, write a radical expression that shows the distance the ranger can see to the horizon.
Lesson 113 773