Stewart/Redlin/Watson - Algebra and Trigonometry 4e Chapter 1 Form A
1. Which of the points A(6, 7) or B(5, 8) is closer to the origin?
2.
If is the midpoint of the line segment AB,
and if A has coordinates find the coordinates
of B.
3. Find the x and y-intercepts of the graph of the equation .
4. Find an equation of the circle that has the points P(5, 8) and Q(9, -6) as the endpoints of a diameter.
5. Find the center and radius of the circle.
6. Write an equation for the line passing through the point (-1, 2) and the point (3, -4).
7. Write an equation for the line with an x-intercept of -4 and y-intercept of 16.
8. Write the equation for the line passing through the point (8, -11) and parallel to the line x + 2y = 8.
9. Write the equation for the line passing through the point (15, 17) which is perpendicular to the line y =
7.
10. Solve the equation by factoring.
11. Solve the equation by completing the square.
12. Find all real solutions of the equation.
13. Use the discriminant to determine the number of real solutions of the equation.
x2 - 5.66x + 2.52 = 0
14. Evaluate the expression (5 + 10i)(7 - 9i) and write the result in the form a + bi.
15.
Evaluate the expression and write the result in the form a + bi.
16. Evaluate the expression and write the result in the form a + bi.
17. Find all solutions of the equation and express them in the form a + bi.
,Stewart/Redlin/Watson - Algebra and Trigonometry 4e Chapter 1 Form A
18. Find all real solutions of the equation.
x 4 = 4x 2
19. Find all real solutions of the equation.
20. Find all real solutions of the equation.
21. A jeweler has three small solid spheres made of gold, of radius 1 mm, 2 mm, and 3 mm. He decides to
melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
Round the answer to one decimal place.
22. Solve the inequality. Express the solution using interval notation.
23. A car rental company offers two plans for renting a car.
Plan A: $40 per day and $0.20 per mile.
Plan B: $60 per day with free unlimited mileage.
For what range of miles will plan B save you money?
24. Solve the inequality. Express the solution using interval notation.
25. Solve the equation.
,ANSWER KEY
Stewart/Redlin/Watson - Algebra and Trigonometry 4e Chapter 1 Form A
1.
A
2.
3. 7, -7/3
4.
5. Center (1/2, 1/2),
6.
7.
8.
9.
10.
11.
12.
13.
2
14.
15.
16.
17.
18.
19.
8,56
20.
14
21.
22.
23.
24.
25.
, ANSWER KEY
Stewart/Redlin/Watson - Algebra and Trigonometry 4e Chapter 1 Form A
1. Which of the points A(6, 7) or B(5, 8) is closer to the origin?
2.
If is the midpoint of the line segment AB,
and if A has coordinates find the coordinates
of B.
3. Find the x and y-intercepts of the graph of the equation .
4. Find an equation of the circle that has the points P(5, 8) and Q(9, -6) as the endpoints of a diameter.
5. Find the center and radius of the circle.
6. Write an equation for the line passing through the point (-1, 2) and the point (3, -4).
7. Write an equation for the line with an x-intercept of -4 and y-intercept of 16.
8. Write the equation for the line passing through the point (8, -11) and parallel to the line x + 2y = 8.
9. Write the equation for the line passing through the point (15, 17) which is perpendicular to the line y =
7.
10. Solve the equation by factoring.
11. Solve the equation by completing the square.
12. Find all real solutions of the equation.
13. Use the discriminant to determine the number of real solutions of the equation.
x2 - 5.66x + 2.52 = 0
14. Evaluate the expression (5 + 10i)(7 - 9i) and write the result in the form a + bi.
15.
Evaluate the expression and write the result in the form a + bi.
16. Evaluate the expression and write the result in the form a + bi.
17. Find all solutions of the equation and express them in the form a + bi.
,Stewart/Redlin/Watson - Algebra and Trigonometry 4e Chapter 1 Form A
18. Find all real solutions of the equation.
x 4 = 4x 2
19. Find all real solutions of the equation.
20. Find all real solutions of the equation.
21. A jeweler has three small solid spheres made of gold, of radius 1 mm, 2 mm, and 3 mm. He decides to
melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
Round the answer to one decimal place.
22. Solve the inequality. Express the solution using interval notation.
23. A car rental company offers two plans for renting a car.
Plan A: $40 per day and $0.20 per mile.
Plan B: $60 per day with free unlimited mileage.
For what range of miles will plan B save you money?
24. Solve the inequality. Express the solution using interval notation.
25. Solve the equation.
,ANSWER KEY
Stewart/Redlin/Watson - Algebra and Trigonometry 4e Chapter 1 Form A
1.
A
2.
3. 7, -7/3
4.
5. Center (1/2, 1/2),
6.
7.
8.
9.
10.
11.
12.
13.
2
14.
15.
16.
17.
18.
19.
8,56
20.
14
21.
22.
23.
24.
25.
, ANSWER KEY
Stewart/Redlin/Watson - Algebra and Trigonometry 4e Chapter 1 Form A
