Page 644 - Algebra 1

*13. Canoeing A canoe rental company charges $10 for the canoe and an additional (94) charge per person. There are 4 people going on the trip and they have planned on
spending a total of $50. They hope that the total cost is within $20 of the planned spending total. What is the minimum and maximum they can be charged per person?
Find the quotient.
14. (1+4x4 -10x2)÷(x+2)
(93)__
15. 25x3 + 20x2 - 5x
(93) 5x
*16. Solve the equation ⎪x⎥ + 9 = 15 and graph the solution.
_ (94) 11
_
*17. Justify Show that the solution set to the equation ⎪x⎥ + 1 = 5 is Ø.
(94) -3
*18. Multi-Step Marty measured the area of his rectangular classroom. He determined (93) that the area is (-2x2 + x3 - 98 - 49x) square feet. The length is (x + 6) feet.
a. What is the width?
b. If the area is (x2 - 36) square feet, what is the width?
19. Geometry The area of a triangle is (10y2 + 6y) square centimeters. The base is (93) (5y + 3) centimeters. What is the height? _
12
*20. Error Analysis Students were asked to simplify 8
(92) Explain the error. x + 2
. Which student is correct?
_4x _x + 16
Student A
4x · _
12 _
__ 8(x+2) x+2
8x+16 x+2 = 4x · 12
= 6x __
(x + 2)(x + 2)
Student B
_4x ·
x+2 _
__ 8(x + 2) 12
= _x 24
8x + 16
12
= 4x ·x+2
*21. _Commuting It took Taylor _ 1_ minutes to get to work, which was (92) x2 x2 + 3x - 40
6x + 48 miles away. Find his rate in miles per minute.
22. Verify Show that 0 is a solution to the inequality ⎪x - 14⎥ < 30.
(91)
23. Multiple Choice Which inequality is represented by the graph? (91)
-20 -10 0 10 20 A ⎪x⎥ ≤ - 21 B ⎪x⎥ < 21
C ⎪x⎥ ≤ 21 D ⎪x⎥ > 21
24. Analyze When a line segment is horizontal, which expression under the radical in (86) the distance formula is 0: (x2 - x1)2 or (y2 - y1)2?
Lesson 94 629