Page 782 - Algebra 1

9.
(111)
10.
(111)
11.
(110)
12.
(110)
3 4 *13. (110)
14.
(110)
15.
(105)
16.
(105)
17.
( (1 1 0 0 6 6) )
18.
(108)
19.
(108)
20.
(109)
Geometry A triangle can be classified according to its sides or according to its angles. There are three side length categories—equilateral, isosceles, and scalene—and three angle categories—acute, obtuse, and right.
a. How many possibilities are there for classifying triangles according to both
sides and angles?
b. How many of these triangles are not possible? Which ones are they?
Multi-Step There are 7 runners on the track team. Runners will be selected randomly for the first, second, third, and final positions on the 4-member relay team.
a. How many different relay teams can be formed?
b. What is the probability that a runner at random is chosen to be on the relay team?
Use the quadratic formula to solve x2 - 60 + 17x = 0. Check the solutions. Multiple Choice What are the solutions to 2a2 + 20a - 30 = 0 ?
A 20 ± 4√ 10 B -20 ± √ 10 C -5 ± 2√ 10 D -5 ± √ 10
Measurement A rectangle has sides of length x feet and 2x + 2 feet with an area of 24 square feet. Cassandra uses the quadratic formula and finds that x equals 3 and -4. She determines that this means the sides of the rectangle are -4 by -6 or 3 by 8. Why is she incorrect?
Construction Suzannewouldliketoplaceafencearoundherrectangularyard,which has a perimeter of 200 feet. The fencing for the front length of the house will cost $5 per foot and the fencing for the side and back of the yard will cost $3 per foot. Her total cost is $720. What are the dimensions of her property?
Find the next 3 terms of the sequence -0.032, 0.16, -0.8, 4, .... PaperFolding Solangefoldsapieceofpaper,makingtworectangles.Whenshe
folds it again, she makes 4 rectangles. Each fold doubles the number of rectangles. A sequence describing this process is 2, 4, 8, .... If someone folds a piece of paper is 12 times, how many rectangles did the 12 folds form?
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Solve the equation √x = 12. Check your answer.

6
Population The exponential function y = 11.35(1.00183)x can model the
approximate population of Ohio from 2000 to 2006, where x is the number of years after 2000 and y represents millions of people. What was the population in 2003?
Evaluate the function f(x) = -2(4)x for x = -2, 0, and 2. Multiple Choice Which system has no solutions?
Ay<2 By>2 Cy<2 Dy>2 y<1 y>1 y>1 y<1
Lesson 112 767