Page 682 - Algebra 1

11. Multi-Step The coordinates of three friends’ houses on a city map are P(3, 3),
(86) Q(5, 9), and R(11, 3). The friends plan to meet at the point that is half-way −−
between Q and the midpoint of PR. −−
a. Find the midpoint of PR.
b. Find the coordinates of the point where the friends plan to meet.
12. Find the quotient of (18x2 - 120 + 6x5) ÷ (x - 2). (93)
13. What is the ratio of the volume of a cube with side lengths of 5 to the volume of a (36) cube with side lengths of 3?
*14. Formulate How can you quickly tell if a possible solution is extraneous using (99) the denominators in the original equation?
*15. Multiple Ch_oice Wh_ich of the follo_wing is an extraneous solution to the
10 (99) equation2+2 =?
x
x - 1 (x - 1)(x - 5) 2x - 2
4x -20x
A x = -1 B x = 0
Cx=1 Dx=5
*16. Housekeeping It takes a man 8 hours to clean the house. His friend can clean it
(99) in 6 hours. How long will it take them if they clean together?
*17. Error Analysis Two students solve the equation 0 = (x - 5)(x + 11). Which student
(98) is correct? Explain the error.
18. Geometry The area of a triangle is 24 square centimeters. The height is four more (98) than two times the base. Find the base and height of the triangle.
*19. Multi-Step The length of a lawn is twice the width. The lawnmower cuts 2-foot (98) strips. One strip along the length and width has already been cut.
2x feet x feet
a. Write expressions for the length and width of the area left to be cut. b. The area left to be cut is 144 square feet. Find the width of the yard. c. What is the length of the yard?
20. Generalize How do you know when there is no solution to an absolute-value (91) inequality?
21. Architecture Mia is designing a rectangular city hall. She accidentally spills water (93) on her newly revised sketches. She is only able to determine the area, which is (x2 - 15x + 56) square feet, and the length, which is (x - 7) feet. What is the
Student A
x - 5 = 0 x + 11 = 0
x = 5 x = -11
Student B
x - 5 = 0 x + 11 = 0 x = -5 x = 11
2 feet
2 feet
width?
Lesson 99 667