ALG2 CH 3 TEST REVIEW



ALG2 CH 3 TEST REVIEW

Solve the system by graphing.

1. [pic]

|a. |[pic] |c. |[pic] |

| |(3, –1) | |(–1, 3) |

|b. |[pic] |d. |[pic] |

| |(1, 3) | |(3, 1) |

2. [pic]

|a. |[pic] |c. |[pic] |

| |(–2, –4) | |(–2, 4) |

|b. |[pic] |d. |[pic] |

| |(4, –2) | |(–4, –2) |

3. [pic]

|a. |[pic] |c. |[pic] |

| |(–3, 0) | |(0, –3) |

|b. |[pic] |d. |[pic] |

| |(3, 0) | |(0, 3) |

Solve the system by any method.

4. [pic]

|a. |(2, 1) |c. |(–1, –2) |

|b. | (1, 2) |d. |(–2, –1) |

5. [pic]

|a. |(–1, 2) |c. |(1, 2) |

|b. |(2, –1) |d. |(2, 1) |

6. [pic]

|a. |(–2, –4) |c. |(2, –4) |

|b. |(–4, 2) |d. |(–4, –2) |

7. Omit this question.

8. A rental car agency charges a flat fee of $138.00 plus $27.00 per day to rent a certain car. Another agency charges a fee of $47.00 plus $40.00 per day to rent the same car.

Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest whole number of days..

|a. |11 |c. |7 |

|b. |10 |d. |3 |

9. A jet ski company charges a flat fee of $27.00 plus $2.00 per hour to rent a jet ski. Another company charges a fee of $16.50 plus $3.75 per hour to rent the same jet ski.

Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.

|a. |11 |c. |9 |

|b. |6 |d. |3 |

Without graphing, is each system independent, dependent, or inconsistent?

10. [pic]

|a. |inconsistent |c. |dependent |

|b. |independent |

11. [pic]

|a. |independent |c. |dependent |

|b. |inconsistent |

12. [pic]

|a. |independent |c. |dependent |

|b. |inconsistent |

Solve the system by substitution.

13. [pic]

|a. |(–4, –5) |c. |(–5, –4) |

|b. |(5, 4) |d. |(4, 5) |

14. [pic]

|a. |(–5, 1) |c. |(1, –5) |

|b. |(–1, 5) |d. |(5, –1) |

Solve the system using elimination.

15. [pic]

|a. |(3, 5) |c. |(–3, –5) |

|b. |(5, 3) |d. |(–5, –3) |

16. [pic]

|a. |(–2, –1) |c. |(–1, –2) |

|b. |(2, 1) |d. |(1, 2) |

17. [pic]

|a. |(–7, –8) |c. |(7, 8) |

|b. |(–8, –7) |d. |(8, 7) |

Solve the system using an equivalent system.

18. [pic]

|a. |(–2, –3) |c. |(–3, –2) |

|b. |(2, 3) |d. |(3, 2) |

What are the solutions of the following systems?

19. [pic]

|a. |infinitely many solutions |c. |(5, –2) |

|b. |(–5, 2) |d. |no solutions |

20. [pic]

|a. |(5, –6) |c. |(–5, 6) |

|b. |no solutions |d. |infinitely many solutions |

21. [pic]

|a. |infinitely many solutions |c. |(5, –6) |

|b. |(–5, 6) |d. |no solutions |

22. [pic]

|a. |infinitely many solutions |c. |no solutions |

|b. |(–5, 2) |d. |(5, –2) |

23. A group of 36 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who attended the game and solve the system to find the number of adults and the number of children who were in the group.

|a. |[pic]; 12 adults, 24 children|c. |[pic]; 24 adults; 17 children|

|b. |[pic]; 17 adults; 24 children|d. |[pic]; 24 adults, 12 children|

24. The length of a rectangle is 6.7 cm more than 2 times the width. If the perimeter of the rectangle is 57.2 cm, what are its dimensions?

|a. |length = 21.3 cm; width = 7.3|c. |length = 7.3 cm; width = 21.3|

| |cm | |cm |

|b. |length = 21.3 cm; width = 14 |d. |length = 7.9 cm; width = 14 |

| |cm | |cm |

Assume that x and y are whole numbers. Use a table to solve the system of inequalities.

25. [pic]

|a. |(0, 1) (0, 2) (1, 1) (2, 1) |c. |(0, 2) (1, 1) |

|b. |(0, 2) (1, 1) (2, 1) |d. |(0, 1) (0, 2) (1, 1) |

26. [pic]

|a. |all x and y values for which |c. |all x and y values for which |

| |[pic] | |[pic] |

|b. |all x and y values for which |d. |all x and y values for which |

| |[pic] | |[pic] |

27. [pic]

Solve the system of inequalities by graphing.

28. [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

29. [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

30. [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

Solve the system of inequalities by graphing.

31. [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

32. [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

33. [pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

34. Your club is baking vanilla and chocolate cakes for a bake sale. They need at most 27 cakes. You cannot have more than 13 chocolate cakes. Write and graph a system of inequalities to model this system.

|a. |Let x = the number of vanilla |c. |Let x = the number of vanilla |

| |cakes. | |cakes. |

| |Let y = the number of | |Let y = the number of |

| |chocolate cakes. | |chocolate cakes. |

| |[pic] | |[pic] |

| |[pic] | |[pic] |

|b. |Let x = the number of vanilla |d. |Let x = the number of vanilla |

| |cakes. | |cakes. |

| |Let y = the number of | |Let y = the number of |

| |chocolate cakes. | |chocolate cakes. |

| |[pic] | |[pic] |

| |[pic] | |[pic] |

35. Omit this question.

36. Omit this question.

Solve the system by elimination.

37. [pic]

|a. |(5, –1, 0) |c. |(–5, –1, 0) |

|b. |(–5, 1, 0) |d. |(–5, –1, –2) |

Solve the system by substitution.

38. [pic]

|a. |(–8, 7, 5) |c. |(8, –7, 5) |

|b. |(–8, –7, 5) |d. |(–8, –7, –5) |

ALG2 CH 3 TEST REVIEW

Answer Section

1. ANS: A

2. ANS: A

3. ANS: C

4. ANS: B

5. ANS: D

6. ANS: B

7. Omit this question.

8. ANS: C

9. ANS: B

10. ANS: B

11. ANS: C

12. ANS: B

13. ANS: B

14. ANS: A

15. ANS: B

16. ANS: D

17. ANS: A

18. ANS: A

19. ANS: D

20. ANS: D

21. ANS: D

22. ANS: A

23. ANS: A

24. ANS: A

25. ANS: B

26. ANS: A

27. ANS:

All values of x and y for which [pic] and [pic].

28. ANS: D

29. ANS: B

30. ANS: A

31. ANS: D

32. ANS: C

33. ANS: A

34. ANS: B

35. Omit this question.

36. Omit this question.

37. ANS: C

38. ANS: B

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