Page 676 - Algebra 1

23.
M_ulti-Step Erika and Casey_started a new walking program. They walked
(95)
3x + 9 miles Thursday and x2 + 12x + 27 miles Friday.
4x
a. What is the total_distance that they walked?
4x
b. If their rate was x + 3 miles per hour, how much time did it take them to walk
on Thursday and Friday?
Physics A ball is dropped from 100 feet in the air. What is its height after
2 seconds? Use h = -16t2 + vt + s. (Hint: Its initial velocity is 0 feet per second.)
Error Analysis Two students find the zeros of the function y = x2 - 8x - 33. Which student is correct? Explain the error.
16
*24.
(9 6)
*25.
(9 6)
Student A
y=x2 -8x-33
y = (0)2 - 8(0) - 33 y = -33
(0, -33)
Student B
0=x2 -8x-33
0 = (x - 11)(x + 3)
x - 11 = 0 or x + 3 = 0
x = 11 or x = -3 11 and -3
26.
(85)
27.
Multi-Step Hideyo has a picture frame that measures 20 centimeters by 26 centimeters. The frame is 1.5 centimeters wide.
a. Find the length and width of the picture area.
b. Find the length of the diagonal of the picture area to the nearest tenth of a centimeter.
Pr_ofit A business sold x2 + 6x + 5 items. The profit for each item sold
(88)
is 100x dollars.
28.
(89)
29.
(9 0)
30.
(Inv 9)
x -x-30 _
2
Multi-Step Javed has a garden with an area of 36 square feet. The width of his garden is 9 feet less than the length. What are the dimensions of his garden?
a. Write a formula to find the dimensions of the garden and describe how you will
solve it.
b. What are the dimensions of the garden?
x
a. What is the profit in terms of x?
b. What is the profit (in dollars) if x = 50?
_x - 6 Generalize Describe the steps for subtracting x + 5 from
The width of a rectangle is represented by the expression (4x - 6) and the length (8x + 7). Would the area of the rectangle be correctly expressed as 32x2 + 20x - 42? If not, what is the correct area?
2
x + 5 .
Lesson 98 661