Page 756 - Algebra 1

22. Jim’s rectangular home gym has an area of (x2 - 144) square feet. The length (93) is (x - 12) feet. What is the width?
Solve.
25. 2 _x - 6 = 8 (94) ⎪4 ⎥
23.
(94)
26.
(9 6)
27.
(99)
28.
(10 0)
4|x + 2| - 9 = 19 24. x2 = -49 (102)
29.
(101)
30.
(Inv 9)
Multi-Step A pitcher throws a softball. The height in feet is represented by the function h = -16t2 + 47t + 5.
a. How high is the ball after 1 second?
b. How high is the ball when it is released? c. What is the initial velocity of the ball?
Gardening It takes a boy 2 hours to pull all the weeds in the garden. It takes his sister 4 hours. How long will it take them if they pull weeds together?
Multi-Step Andrew hits a golf ball into the air. Its movement forms a parabola given by the quadratic equation h = -16t2 + 31t + 7, 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 hundredth.
Write Describe the similarities and differences between solving the inequality 2⎢x + 1 < 7 and solving the inequality ⎢2x + 1 < 7.
If the area of a rectangle is represented by the expression 3x2 + 22x - 45 and the width by the expression (x + 9), what would the length be?
Lesson 109 741