Page 357 - Algebra 1

21. Geometry Points A, B, and C are three vertices of a rectangle. Plot the three (52) points. Then find the coordinates of the fourth point, D, to complete
the rectangle. Finally, write the equation of the line that passes through points B and D and forms a diagonal of the rectangle.
A (-2, 3), B (4, 3), C (4, -1)
Measurement Two farmers each harvested 50 acres of tomatoes per day from (52) their fields. The area of one farmer’s field is 800 acres and the area of the
other farmer’s field is 600 acres.
a. Write an equation giving the unharvested area y of the larger field (in acres)
after x days.
b. Write an equation giving the unharvested area y of the smaller field (in acres)
after x days.
c. What is the unharvested area of each field (in acres) after 10 days?
*23. Write an equation of a line that passes through points (6, -3) and has a slope (52) of -2.
*24. Multiple Choice Which expression is not a polynomial? (53) A -12b B x2 + x-1
C y2 - y + 6 D -60
*25. Advertisement The polynomials below approximate the amount of dollars (in
(53) millions) one company spent on advertising children’s books on the national and local level for each year during a certain period. In each polynomial, x represents
the years since the company began its campaign. Write a polynomial that gives a combined amount spent each year on national and local advertising.
national = 59x2 - 262x + 3888
local = -33x3 + 611x2 - 1433x + 28,060
*26. What is the degree of -a2b2c3 + 5x5? (53)
*27. A line passes through the points (4, 5) and (6, 4).
(52) a. Write the equation of the line in point-slope form.
b. Write the equation of the line in slope-intercept form.
c. Graph the line using a graphing calculator.
d. Fill in the missing coordinates of the following points: (x, 4) and (3, y).
28. Write an equation of the line in point-slope form that has a slope of -1 (52) and passes through the point (3, 1).
*29. Write Is 4 equal to 4x0? Explain. (53)
*30. Verify What polynomial can be subtracted from 3x2 + 7x - 6 to get -6 ? (53)
3 4 *22.
342 Saxon Algebra 1