Page 718 - Algebra 1

10. Printing A photographer has printing paper that is 8 inches by 10 inches with a (102) half-inch margin on the left and right side and a one-inch margin on the top and
bottom. He can print out six square images. What are the dimensions of the image?
*11. Geometry The volume of a cylindrical container is 339.12 cubic meters. The
(102) formula representing the volume of the container is (18π)r2 = 339.12. Find r, the
radius of the container. Use 3.14 for π.
12. E_rror Analysis Tw_o students were asked to find the LCD of
7x + 1
(95) 2 + . Which student is correct? Explain the error.
4x
x2 +15x+56 -3x+21
Student A
4x2 7x + 1 ___
__+_ (x+7)(x+8) + -3(x-7)
x2 +15x+56 -3x+21 4x2 7x + 1
LCD = -3(x - 7)(x + 7)(x + 8)
Student B
4x2 7x + 1 ___
__+_ (x+7)(x+8) + -3(x+7)
x2 +15x+56 -3x+21 4x2 7x + 1
LCD = -3(x + 7)(x + 8)
13. For which values is the rational expression _x - 6 undefined?
(43)
14. Find the roots of 32x - 3x = 24 - 4x2. (98)
15. Solve x2 = 100. (102)
16. Football The height of a punted ball at time t is represented by the function (98) -32t2 + 12t + 2 = h, where t stands for the number of seconds after the ball is
kicked. When does the ball land on the ground?
17. Masonry Pedrocanbuildabrickfencein10hours.Hispartnercanbuildthe (99) same brick fence in 12 hours. How long would it take them to do the masonry
work together?
18. Solve x2 + 81 = 18x by graphing.
(10 0)
x
3 4
19. Measurement A student uses indirect measurement to find the height of a flagpole. (99) _
She writes a proportion relating the heights and lengths of the shadows. The
x - 20
equation she must solve is _x = ; where x is the height of the flagpole in feet.
10 2 Find the height of the flagpole.
*20. a. Solve the inequality -8⎪x + 7⎥ ≥ -24. (101)
b. Verify Choose two x-values in the solution set you found in part a. Verify that each x-value satisfies the original inequality.
*21. Multiple Choice Suppose a number n is a solution of the inequality ⎪5x - 2⎥ < 9. (101) Which of the following inequalities does not have n as a solution?
A 5x-2>-9 B 5x-2>9 C -9<5x-2 D 5x-2<9
Lesson 104 703