Page 741 - Algebra 1

20. Football NCAA rules require that the circumference c of a football, measured around (101) its widest part, 21 inches, to vary by no more than 0.25 inches. Write and solve an
absolute-value inequality that models the acceptable circumferences. What is the least acceptable circumference?
21. Area of a Pool Maria wants to increase the radius of a pool by 3 meters. (102) The new area of the pool is 200.96 square meters.
a. Write a formula to find the original radius of the pool. b. Solve the formula.
c. What will the new diameter of the pool be?
*22. Graph the function f(x) = ⎢x + 3. (107)
r 3
23. Multiple Choice Solve -3x2 + 24x = 36.
(104) A x = -8 or 0 B x = -6 or 2 C x = 2 or 6
D x = 0 or 8
24. Analyze Determine what values of c would make the equation x2 - 50x = c have
(104) no solution. Simplify.
__ 4x + x
2x + 12 3x + 18
27.
(94)
28.
(97)
29.
(98)
30.
(99)
Multi-Step A businessman makes $50 profit on each item sold. He would like to make $950 plus or minus $100 total each week.
a. Write an absolute-value equation for the minimum and maximum profit he
desires.
b. What is the minimum and maximum number of items he needs to sell each week?
School Dance Tickets for the school dance are $4 for middle school students and $6 for high school students. In order to cover expenses, at least $600 worth of tickets must be sold. Write an inequality that models this situation and graph it.
Multi-Step A painting is 5 inches by 4 inches. The frame around it is x inches wide. a. Write expressions for the length and width of the picture with the frame.
b. The total area of the picture and frame is 42 square inches. What is the width of the frame?
Justify Explain how to transform _x = _4 to x2 = 4x - 12. x-3 x
20 ___
25. __ 26.
√
3
(92)
8x2 (103) x2 +8x+12
x in. x in.
x in.
x in.
5 in. 4 in.
726
Saxon Algebra 1